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Sample records for science mathematics philosophy

  1. Implications for Science and Mathematics Education of Current Philosophies of Education.

    Science.gov (United States)

    Hopkins, Richard L.

    1981-01-01

    Differing philosophies of education associated with John Dewey, Robert Maynard Hutchins, Jerome Bruner, and A. S. Neill are outlined. Implications of each philosophy for mathematics and science teaching are suggested. (MP)

  2. An Aristotelian realist philosophy of mathematics mathematics as the science of quantity and structure

    CERN Document Server

    Franklin, J

    2014-01-01

    Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.

  3. Three views of logic mathematics, philosophy, and computer science

    CERN Document Server

    Loveland, Donald W; Sterrett, S G

    2014-01-01

    Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-orde

  4. Discrete thoughts essays on mathematics, science, and philosophy

    CERN Document Server

    Kac, Mark; Schwartz, Jacob T

    1992-01-01

    This is a volume of essays and reviews that delightfully explore mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others. "...these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions...I admire the stimulating perspectives of the authors."---American Mathematical Society "‘Mathematicians, like Proust and everyone else, are at their best when writing about their first love’ … They a...

  5. The architecture of modern mathematics essays in history and philosophy

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    Ferreiros, J

    2006-01-01

    Aimed at both students and researchers in philosophy, mathematics and the history of science, this edited volume, authored by leading scholars, highlights foremost developments in both the philosophy and history of modern mathematics.

  6. The Philosophy of Mathematics Education

    DEFF Research Database (Denmark)

    mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards......This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical...... research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also...

  7. Applications of Mathematical Logic in Philosophy and Linguistics, Papers of a Conference

    CERN Document Server

    Malzkom, Wolfgang; Räsch, Thoralf

    2003-01-01

    "Foundations of the Formal Sciences" (FotFS) is a series of interdisciplinary conferences in mathematics, philosophy, computer science and linguistics. The main goal is to reestablish the traditionally strong links between these areas of research that have been lost in the past decades. The second conference in the series had the subtitle "Applications of Mathematical Logic in Philosophy and Linguistics" and brought speakers from all parts of the Formal Sciences together to give a holistic view of how mathematical methods can improve our philosophical and technical understanding of language and scientific discourse, ranging from the theoretical level up to applications in language recognition software. Audience: This volume is of interest to all formal philosophers and theoretical linguists. In addition to that, logicians interested in the applications of their field and logic students in mathematics, computer science, philosophy and linguistics can use the volume to broaden their knowledge of applications of...

  8. Hobbes on natural philosophy as "True Physics" and mixed mathematics.

    Science.gov (United States)

    Adams, Marcus P

    2016-04-01

    In this paper, I offer an alternative account of the relationship of Hobbesian geometry to natural philosophy by arguing that mixed mathematics provided Hobbes with a model for thinking about it. In mixed mathematics, one may borrow causal principles from one science and use them in another science without there being a deductive relationship between those two sciences. Natural philosophy for Hobbes is mixed because an explanation may combine observations from experience (the 'that') with causal principles from geometry (the 'why'). My argument shows that Hobbesian natural philosophy relies upon suppositions that bodies plausibly behave according to these borrowed causal principles from geometry, acknowledging that bodies in the world may not actually behave this way. First, I consider Hobbes's relation to Aristotelian mixed mathematics and to Isaac Barrow's broadening of mixed mathematics in Mathematical Lectures (1683). I show that for Hobbes maker's knowledge from geometry provides the 'why' in mixed-mathematical explanations. Next, I examine two explanations from De corpore Part IV: (1) the explanation of sense in De corpore 25.1-2; and (2) the explanation of the swelling of parts of the body when they become warm in De corpore 27.3. In both explanations, I show Hobbes borrowing and citing geometrical principles and mixing these principles with appeals to experience. Copyright © 2015 Elsevier Ltd. All rights reserved.

  9. Berkeley's Philosophy of Mathematics

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    Jesseph, Douglas M

    1993-01-01

    In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution. Jesseph begins with Berkeley's r

  10. Philosophy and mathematics: interactions.

    Science.gov (United States)

    Rashed, Roshdi

    From Plato to the beginnings of the last century, mathematics provided philosophers with methods of exposition, procedures of demonstration, and instruments of analysis. The unprecedented development of mathematics on the one hand, and the mathematicians' appropriation of Logic from the philosophers on the other hand, have given rise to two problems with which the philosophers have to contend: (1) Is there still a place for the philosophy of mathematics? and (2) To what extent is a philosophy of mathematics still possible? This article offers some reflections on these questions, which have preoccupied a good many philosophers and continue to do so.

  11. PhiMSAMP: philosophy of mathematics: sociological aspects and mathematical practice

    NARCIS (Netherlands)

    Löwe, B.; Müller, T.

    2010-01-01

    Philosophy of mathematics is moving in a new direction: away from a foundationalism in terms of formal logic and traditional ontology, and towards a broader range of approaches that are united by a focus on mathematical practice. The scientific research network PhiMSAMP (Philosophy of Mathematics:

  12. What Is Our First Philosophy in Mathematics Education?

    Science.gov (United States)

    Ernest, Paul

    2012-01-01

    What are the theoretical foundations of mathematics education? Recently disciplines other than mathematics and psychology have grown in importance, including philosophy. But which branch of philosophy is the most fundamental for mathematics education? In this article, I consider the claims of five branches of philosophy to be our "first…

  13. The Role of History and Philosophy of in University Mathematics

    DEFF Research Database (Denmark)

    Kjeldsen, Tinne Hoff; Carter, Jessica M H Grund

    2014-01-01

    uses of history and the research direction in philosophy of mathematics denoted ‘Philosophy of Mathematical Practice’. We link history and philosophy of mathematical practices to recent ideas in mathematics education in order to identify different roles history and philosophy can play in the learning...... of mathematics at university level. We present, analyse and discuss different examples of inclusions of history and philosophy in university programmes in mathematics. These presentations are divided into courses in history and philosophy, respectively, since this is the main way they are organised...... at the universities. We shall see, however, that the history courses address philosophical questions and that the philosophy courses employ historical material. The chapter ends with comments on how mathematics educations at university level can benefit from history and philosophy of mathematics...

  14. Philosophy of mathematics

    CERN Document Server

    Gabbay, Dov M; Woods, John

    2009-01-01

    One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mat

  15. 'Whys' and 'Hows' of using philosophy in mathematics education

    DEFF Research Database (Denmark)

    Jankvist, Uffe Thomas; Iversen, Steffen Møllegaard

    2014-01-01

    The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories...... of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination...... approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones....

  16. Introducing philosophy of mathematics

    CERN Document Server

    Friend, Michele

    2014-01-01

    What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc

  17. Philosophy of Science and Philosophy of Chemistry

    OpenAIRE

    Jaap van Brakel

    2014-01-01

    In this paper I assess the relation between philosophy of chemistry and (general) philosophy of science, focusing on those themes in the philosophy of chemistry that may bring about major revisions or extensions of current philosophy of science. Three themes can claim to make a unique contribution to philosophy of science: first, the variety of materials in the (natural and artificial) world; second, extending the world by making new stuff; and, third, specific features of the relations betwe...

  18. Carl Stumpf's philosophy of mathematics

    NARCIS (Netherlands)

    Ierna, Carlo

    2015-01-01

    Like most of Franz Brentano's students, Carl Stumpf showed an interest in the philosophy of mathematics. In particular, Stumpf wrote his habilitation thesis On the Foundations of Mathematics, used mathematical examples in central parts of his lectures, and later returned to the topic in the

  19. Pluralism in mathematics a new position in philosophy of mathematics

    CERN Document Server

    Friend, Michèle

    2014-01-01

    This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy's Naturalism, Shapiro's Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a stron...

  20. From Subordination to Hegemony On the Epistemological Legitimation of Mathematics in Natural Philosophy of XVII Century

    Directory of Open Access Journals (Sweden)

    Felipe Ochoa

    2013-12-01

    Full Text Available This article analyzes the epistemological legitimation of mathematics in natural philosophy in the seventeenth century. In the Renaissance it was claimed that mathematics does not meet the Aristotelian criteria of scientificity, and that it did not explain the efficient and final causes. So, its critics, inspired by the Aristotelian tradition, rejected the first attempts to mathematize natural philosophy. The epistemological conditions involved in the debate are examined on the scientific nature of mathematics and its relevance to natural philosophy. A historiographical tour of the mathematization of nature is made to provide new weighing elements with respect to a historically and philosophically more conceptual characterization of the emergence of modern science.

  1. Empirical philosophy of science

    DEFF Research Database (Denmark)

    Wagenknecht, Susann; Nersessian, Nancy J.; Andersen, Hanne

    2015-01-01

    A growing number of philosophers of science make use of qualitative empirical data, a development that may reconfigure the relations between philosophy and sociology of science and that is reminiscent of efforts to integrate history and philosophy of science. Therefore, the first part...... of this introduction to the volume Empirical Philosophy of Science outlines the history of relations between philosophy and sociology of science on the one hand, and philosophy and history of science on the other. The second part of this introduction offers an overview of the papers in the volume, each of which...... is giving its own answer to questions such as: Why does the use of qualitative empirical methods benefit philosophical accounts of science? And how should these methods be used by the philosopher?...

  2. History, applications, and philosophy in mathematics education

    DEFF Research Database (Denmark)

    Jankvist, Uffe Thomas

    2013-01-01

    on the observation that a use of history, applications, and philosophy as a 'goal' is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use......The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different 'whys' and 'hows' of including these three dimensions in mathematics education. Based...... of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics-HAPh-modules-are outlined...

  3. "Whys" and "Hows" of Using Philosophy in Mathematics Education

    Science.gov (United States)

    Jankvist, Uffe Thomas; Iversen, Steffen Møllegaard

    2014-01-01

    The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so-the so-called "whys" and "hows". More precisely, the "whys" are divided into the two categories of "philosophy as…

  4. Philosophy of the social sciences

    Directory of Open Access Journals (Sweden)

    J. A. Kimelyev

    2014-01-01

    Full Text Available Philosophy of social science is a branch of philosophy where relations between philosophy and social sciences are traced and investigated. The main functions of philosophy of social science are: to work out social ontology, methodology and metatheory of social science.

  5. Between Theology and Mathematics. Nicholas of Cusa’s Philosophy of Mathematics

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    Murawski Roman

    2016-03-01

    Full Text Available The paper is devoted to the philosophical and theological as well as mathematical ideas of Nicholas of Cusa (1401–1464. He was a mathematician, but first of all a theologian. Connections between theology and philosophy on the one side and mathematics on the other were, for him, bilateral. In this paper we shall concentrate only on one side and try to show how some theological ideas were used by him to answer fundamental questions in the philosophy of mathematics.

  6. New waves in philosophy of mathematics

    CERN Document Server

    Bueno, O

    2009-01-01

    Thirteen promising young researchers write on what they take to be the right philosophical account of mathematics and discuss where the philosophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosophical logic.

  7. Some Main Features of Wittgenstein´s Philosophy

    DEFF Research Database (Denmark)

    Brock, Steen

    Two chapters from a book manuscript, where four parts of Wittgenstein´s philosophy are systematically interconnected, philosophy of language, mathematics, psychology and natural science......Two chapters from a book manuscript, where four parts of Wittgenstein´s philosophy are systematically interconnected, philosophy of language, mathematics, psychology and natural science...

  8. Mario Bunge's Philosophy of Mathematics: An Appraisal

    Science.gov (United States)

    Marquis, Jean-Pierre

    2012-01-01

    In this paper, I present and discuss critically the main elements of Mario Bunge's philosophy of mathematics. In particular, I explore how mathematical knowledge is accounted for in Bunge's systemic emergent materialism.

  9. Philosophy of Information: Revolution in Philosophy. Towards an Informational Metaphilosophy of Science

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    Kun Wu

    2017-10-01

    Full Text Available In the most general if unconventional terms, science is the study of how man is part of the universe. Philosophy is the study of man’s ideas of the universe and how man differs from the rest of the universe. It has of course been recognized that philosophy and science are not totally disjointed. Science is in any case not a monolithic entity but refers to knowledge as the results of reasoning and both invasive and non-invasive experiment. We argue that the philosophy of science, in studying the foundations, methods and implications of science and the link between philosophy and science, must now take into account the impact of the rapidly developing science and philosophy of information. We suggest that the philosophy of information is in fact a metaphilosophy, since informational processes operate in all the sciences and their philosophies. The simplest definition of (a metaphilosophy is that of a set of statements about (a philosophy, and any definition of a metaphilosophy thus requires one of philosophy and of the task of philosophy as well. According to Sellars, “the aim of philosophy is to understand how things in the broadest possible sense of the term hang together in the broadest possible sense of the term”. In this paper, we focus on the recursive thought underlying those statements as real processes, occurring both in and between the fundamental and the meta-level. We propose a non-standard logic, Logic in Reality, as the logic of those processes. The metaphilosophy of information is thus a framework for talking about the scientific aspects of philosophy and the philosophical aspects of science. Both Logic in Reality and the metaphilosophy of information provide a basis for understanding the physical and epistemological dynamics of existence, that is, from where the properties of things come that enable both them and the concepts of them to contrast, conflict and ultimately “hang together”. We conclude that the current

  10. Logic and philosophy of mathematics in the early Husserl

    CERN Document Server

    Centrone, Stefania

    2010-01-01

    This text focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic to that of Logical Investigations. It aims to locate this work in the fields of logic, philosophy of logic and philosophy of mathematics.

  11. Philosophy and foundations of mathematics L. E. J. Brouwer

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    Heyting, A

    1974-01-01

    L.E.J. Brouwer: Collected Works, Volume 1: Philosophy and Foundations of Mathematics focuses on the principles, operations, and approaches promoted by Brouwer in studying the philosophy and foundations of mathematics. The publication first ponders on the construction of mathematics. Topics include arithmetic of integers, negative numbers, measurable continuum, irrational numbers, Cartesian geometry, similarity group, characterization of the linear system of the Cartesian or Euclidean and hyperbolic space, and non-Archimedean uniform groups on the one-dimensional continuum. The book then examin

  12. Quantum philosophy understanding and interpreting contemporary science

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    Omnès, Roland

    2002-01-01

    In this magisterial work, Roland Omnès takes us from the academies of ancient Greece to the laboratories of modern science as he seeks to do no less than rebuild the foundations of the philosophy of knowledge. One of the world's leading quantum physicists, Omnès reviews the history and recent development of mathematics, logic, and the physical sciences to show that current work in quantum theory offers new answers to questions that have puzzled philosophers for centuries: Is the world ultimately intelligible? Are all events caused? Do objects have definitive locations? Omnès addresses these p

  13. Empirical Philosophy of Science

    DEFF Research Database (Denmark)

    Mansnerus, Erika; Wagenknecht, Susann

    2015-01-01

    knowledge takes place through the integration of the empirical or historical research into the philosophical studies, as Chang, Nersessian, Thagard and Schickore argue in their work. Building upon their contributions we will develop a blueprint for an Empirical Philosophy of Science that draws upon...... qualitative methods from the social sciences in order to advance our philosophical understanding of science in practice. We will regard the relationship between philosophical conceptualization and empirical data as an iterative dialogue between theory and data, which is guided by a particular ‘feeling with......Empirical insights are proven fruitful for the advancement of Philosophy of Science, but the integration of philosophical concepts and empirical data poses considerable methodological challenges. Debates in Integrated History and Philosophy of Science suggest that the advancement of philosophical...

  14. [The theory of order from poinsot to Bourgoin: Mathematics, philosophy, ornemental art].

    Science.gov (United States)

    Boucard, Jenny; Eckes, Christophe

    2015-12-01

    The aim of this paper is to understand the dynamics of the theory of order in the nineteenth century and to reveal a specific approach to mathematics, science, philosophy and decorative art in which order plays a prominent role. We will analyze the singular meaning that Poinsot assigns to the notion of order in the mathematical sciences, before describing the circulation of his writings on the order in the nineteenth century. Poinsot is one of the main sources of Cournot, who places the notions of order and form as the basis of his knowledge system. Then we will study the writings of Bourgoin who develops a combinatorics of ornaments based on the categories of order and form.

  15. G.W. Leibniz, interrelations between mathematics and philosophy

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    Goethe, Norma B; Rabouin, David

    2015-01-01

    Up to now there have been scarcely any publications on Leibniz dedicated to investigating the interrelations between philosophy and mathematics in his thought. In part this is due to the previously restricted textual basis of editions such as those produced by Gerhardt. Through recent volumes of the scientific letters and mathematical papers series of the Academy Edition scholars have obtained a much richer textual basis on which to conduct their studies - material which allows readers to see interconnections between his philosophical and mathematical ideas which have not previously been manifested. The present book draws extensively from this recently published material. The contributors are among the best in their fields. Their commissioned papers cover thematically salient aspects of the various ways in which philosophy and mathematics informed each other in Leibniz's thought.

  16. Philosophy of Science, with Special Consideration Given to Behaviorism as the Philosophy of the Science of Behavior

    Science.gov (United States)

    Moore, J.

    2010-01-01

    The philosophy of science is the branch of philosophy that critically examines the foundations, assumptions, methods, products, and implications of the activity called science. The present sketch reviews the historical development of the philosophy of science, representative individuals in the field, and topics of long-standing interest. The…

  17. Making Philosophy of Science Education Practical for Science Teachers

    Science.gov (United States)

    Janssen, F. J. J. M.; van Berkel, B.

    2015-01-01

    Philosophy of science education can play a vital role in the preparation and professional development of science teachers. In order to fulfill this role a philosophy of science education should be made practical for teachers. First, multiple and inherently incomplete philosophies on the teacher and teaching on what, how and why should be…

  18. Making Philosophy of Science Education Practical for Science Teachers

    Science.gov (United States)

    Janssen, F. J. J. M.; van Berkel, B.

    2015-04-01

    Philosophy of science education can play a vital role in the preparation and professional development of science teachers. In order to fulfill this role a philosophy of science education should be made practical for teachers. First, multiple and inherently incomplete philosophies on the teacher and teaching on what, how and why should be integrated. In this paper we describe our philosophy of science education (ASSET approach) which is composed of bounded rationalism as a guideline for understanding teachers' practical reasoning, liberal education underlying the why of teaching, scientific perspectivism as guideline for the what and educational social constructivism as guiding choices about the how of science education. Integration of multiple philosophies into a coherent philosophy of science education is necessary but not sufficient to make it practical for teachers. Philosophies are still formulated at a too abstract level to guide teachers' practical reasoning. For this purpose, a heuristic model must be developed on an intermediate level of abstraction that will provide teachers with a bridge between these abstract ideas and their specific teaching situation. We have developed and validated such a heuristic model, the CLASS model in order to complement our ASSET approach. We illustrate how science teachers use the ASSET approach and the CLASS model to make choices about the what, the how and the why of science teaching.

  19. The invention of physical science intersections of mathematics, theology and natural philosophy since the seventeenth century : essays in honor of Erwin N. Hiebert

    CERN Document Server

    Richards, Joan L; Stuewer, Roger H

    1992-01-01

    Modern physical science is constituted by specialized scientific fields rooted in experimental laboratory work and in rational and mathematical representations. Contemporary scientific explanation is rigorously differentiated from religious interpretation, although, to be sure, scientists sometimes do the philosophical work of interpreting the metaphysics of space, time, and matter. However, it is rare that either theologians or philosophers convincingly claim that they are doing the scientific work of physical scientists and mathematicians. The rigidity of these divisions and differentiations is relatively new. Modern physical science was invented slowly and gradually through interactions of the aims and contents of mathematics, theology, and natural philosophy since the seventeenth century. In essays ranging in focus from seventeenth-century interpretations of heavenly comets to twentieth-century explanations of tracks in bubble chambers, ten historians of science demonstrate metaphysical and theological th...

  20. From logic to practice Italian studies in the philosophy of mathematics

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    Lolli, Gabriele; Venturi, Giorgio

    2014-01-01

    This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonst...

  1. Science and Philosophy: A Love-Hate Relationship

    OpenAIRE

    de Haro, Sebastian

    2013-01-01

    In this paper I review the problematic relationship between science and philosophy; in particular, I will address the question of whether science needs philosophy, and I will offer some positive (if incomplete) perspectives that should be helpful in developing a synergetic relationship between the two. I will review three lines of reasoning often employed in arguing that philosophy is useless for science: a) philosophy's death diagnosis ('philosophy is dead') and what follows from it; b) the ...

  2. Philosophy and the front line of science.

    Science.gov (United States)

    Pernu, Tuomas K

    2008-03-01

    According to one traditional view, empirical science is necessarily preceded by philosophical analysis. Yet the relevance of philosophy is often doubted by those engaged in empirical sciences. I argue that these doubts can be substantiated by two theoretical problems that the traditional conception of philosophy is bound to face. First, there is a strong normative etiology to philosophical problems, theories, and notions that is dfficult to reconcile with descriptive empirical study. Second, conceptual analysis (a role that is typically assigned to philosophy) seems to lose its object of study if it is granted that terms do not have purely conceptual meanings detached from their actual use in empirical sciences. These problems are particularly acute to the current naturalistic philosophy of science. I suggest a more concrete integration of philosophy and the sciences as a possible way of making philosophy of science have more impact.

  3. Continental Contributions to Philosophy of Science

    OpenAIRE

    REGINE KATHER

    2006-01-01

    The author reviews the book Continental Philosophy of Science, edited by Gary Gutting. Introductory remarks about the historical relationship between philosophy and science are followed by a presentation and discussion of different philosophies of science and commentaries on the eleven German and French authors whose texts are found in this volume. In addition to her assessment of Guttings’s collection, the author’s overall conclusion is that one characteristic trait of the Continental philos...

  4. Philosophy for the rest of cognitive science.

    Science.gov (United States)

    Stepp, Nigel; Chemero, Anthony; Turvey, Michael T

    2011-04-01

    Cognitive science has always included multiple methodologies and theoretical commitments. The philosophy of cognitive science should embrace, or at least acknowledge, this diversity. Bechtel's (2009a) proposed philosophy of cognitive science, however, applies only to representationalist and mechanist cognitive science, ignoring the substantial minority of dynamically oriented cognitive scientists. As an example of nonrepresentational, dynamical cognitive science, we describe strong anticipation as a model for circadian systems (Stepp & Turvey, 2009). We then propose a philosophy of science appropriate to nonrepresentational, dynamical cognitive science. Copyright © 2011 Cognitive Science Society, Inc.

  5. An introduction to the philosophy of science

    CERN Document Server

    Staley, Kent W

    2014-01-01

    This book guides readers by gradual steps through the central concepts and debates in the philosophy of science. Using concrete examples from the history of science, Kent W. Staley shows how seemingly abstract philosophical issues are relevant to important aspects of scientific practice. Structured in two parts, the book first tackles the central concepts of the philosophy of science, such as the problem of induction, falsificationism, and underdetermination, and important figures and movements, such as the logical empiricists, Thomas Kuhn, and Paul Feyerabend. The second part turns to contemporary debates in the philosophy of science, such as scientific realism, explanation, the role of values in science, the different views of scientific inference, and probability. This broad yet detailed overview will give readers a strong grounding whilst also providing opportunities for further exploration. It will be of particular interest to students of philosophy, the philosophy of science, and science. Read more at h...

  6. Science and philosophy in Deleuze

    Directory of Open Access Journals (Sweden)

    Krtolica Igor

    2015-01-01

    Full Text Available Deleuze will not wait until he had completed his works to frame and formulate a theory on the relation between philosophy and science. The first articulations of this question are already present as early as the 1950s and 1960s in the studies on Bergson and Nietzsche, and then in Difference and repetition as well as in The Logic of Sense. It is also true that this question will be specifically developed in 1991 in What Is Philosophy? But throughout his work, the main thrust would proceed. This issue, it seems, comprises three main aspects: in the first place, in a polemic against the neo-Kantian epistemological legacy, it primarily consists in denying the critical definition of philosophy as being a ‘reflection on scientific knowledge’ to replace it by a conception drawn from Bergson’s expressionist ontology that places science and philosophy on both sides of the being; secondly, in an attempt to restore the concept of dialectics, it consists in making the dialectics of ideas the communal sphere of both science and philosophy; thirdly, aiming to specify every form of thinking, it consists in shaping how each expresses its ideas or its problems with its own signs. These three aspects, it seems, can frame the overall conception Deleuze formed of the link between science and philosophy. We shall successively analyze them, exclusively considering the first period of Deleuze’s work, which is to say the pre-guattarian publications.

  7. The Implications for Science Education of Heidegger's Philosophy of Science

    Science.gov (United States)

    Shaw, Robert

    2013-01-01

    Science teaching always engages a philosophy of science. This article introduces a modern philosophy of science and indicates its implications for science education. The hermeneutic philosophy of science is the tradition of Kant, Heidegger, and Heelan. Essential to this tradition are two concepts of truth, truth as correspondence and truth as…

  8. Introduction: philosophy in and philosophy of cognitive science.

    Science.gov (United States)

    Brook, Andrew

    2009-04-01

    Despite being there from the beginning, philosophical approaches have never had a settled place in cognitive research and few cognitive researchers not trained in philosophy have a clear sense of what its role has been or should be. We distinguish philosophy in cognitive research and philosophy of cognitive research. Concerning philosophy in cognitive research, after exploring some standard reactions to this work by nonphilosophers, we will pay particular attention to the methods that philosophers use. Being neither experimental nor computational, they can leave others bewildered. Thought experiments are the most striking example but not the only one. Concerning philosophy of cognitive research, we will pay particular attention to its power to generate and test normative claims, claims about what should and should not be done. Copyright © 2009 Cognitive Science Society, Inc.

  9. Constructing a philosophy of science of cognitive science.

    Science.gov (United States)

    Bechtel, William

    2009-07-01

    Philosophy of science is positioned to make distinctive contributions to cognitive science by providing perspective on its conceptual foundations and by advancing normative recommendations. The philosophy of science I embrace is naturalistic in that it is grounded in the study of actual science. Focusing on explanation, I describe the recent development of a mechanistic philosophy of science from which I draw three normative consequences for cognitive science. First, insofar as cognitive mechanisms are information-processing mechanisms, cognitive science needs an account of how the representations invoked in cognitive mechanisms carry information about contents, and I suggest that control theory offers the needed perspective on the relation of representations to contents. Second, I argue that cognitive science requires, but is still in search of, a catalog of cognitive operations that researchers can draw upon in explaining cognitive mechanisms. Last, I provide a new perspective on the relation of cognitive science to brain sciences, one which embraces both reductive research on neural components that figure in cognitive mechanisms and a concern with recomposing higher-level mechanisms from their components and situating them in their environments. Copyright © 2009 Cognitive Science Society, Inc.

  10. Theological Underpinnings of the Modern Philosophy of Mathematics.

    Directory of Open Access Journals (Sweden)

    Shaposhnikov Vladislav

    2016-03-01

    Full Text Available The study is focused on the relation between theology and mathematics in the situation of increasing secularization. My main concern is nineteenth-century mathematics. Theology was present in modern mathematics not through its objects or methods, but mainly through popular philosophy, which absolutized mathematics. Moreover, modern pure mathematics was treated as a sort of quasi-theology; a long-standing alliance between theology and mathematics made it habitual to view mathematics as a divine knowledge, so when theology was discarded, mathematics naturally took its place at the top of the system of knowledge. It was that cultural expectation aimed at mathematics that was substantially responsible for a great resonance made by set-theoretic paradoxes, and, finally, the whole picture of modern mathematics.

  11. Two Cheers for Naturalised Philosophy of Science--Or: Why Naturalised Philosophy of Science Is Not the Cat's Whiskers.

    Science.gov (United States)

    Worrall, John

    1999-01-01

    Argues that, although naturalized philosophy of science points to important aspects of the scientific process that have not attracted the attention they deserve, it is not an acceptable philosophy. Claims that the basic theses of full-fledged naturalized philosophy of science simply cannot be true since they end up either in logical circles or in…

  12. 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

    CERN Document Server

    Schlimm, Dirk

    2017-01-01

    This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzano’s objections to Kant’s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17thCenturies. The remaining papers deal with the history of mathematics and cover such subjects as Early schemes for polar ordinates in the work of L’Hôpital, bas...

  13. Perspectives on mathematical practices bringing together philosophy of mathematics, sociology of mathematics, and mathematics education

    CERN Document Server

    van Kerkhove, Bart

    2007-01-01

    Philosophy of mathematics today has transformed into a very complex network of diverse ideas, viewpoints, and theories. Sometimes the emphasis is on the ""classical"" foundational work (often connected with the use of formal logical methods), sometimes on the sociological dimension of the mathematical research community and the ""products"" it produces, then again on the education of future mathematicians and the problem of how knowledge is or should be transmitted from one generation to the next. The editors of this book felt the urge, first of all, to bring together the widest variety of aut

  14. How Peircean semiotic philosophy connects Western science with Eastern emptiness ontology.

    Science.gov (United States)

    Brier, Søren

    2017-12-01

    In recent articles in this journal I have discussed why a traditional physicalist and mechanist, as well as an info-computationalist, view of science cannot fulfil the goal of building a transdisciplinary science across Snow's two cultures. There seems to be no path proceeding from mechanistic physicalism to views that encompass phenomenological theories of experiential consciousness and meaning-based cognition and communication. I have suggested, as an alternative, the Cybersemiotic framework's integration of Peirce's semiotics and Luhmann's autopoietic system theory. The present article considers in greater depth the ontological developments necessary to make this possible. It shows how Peirce avoids materialism and German idealism through his building on a concept of emptiness similar to modern quantum field theory, positing an indeterminist objective chance feeding into an evolutionary philosophy of knowing based on pure mathematics and phenomenology that is itself combined with empirically executed fallibilism. Furthermore, he created a new metaphysics in the form of a philosophical synechist triadic process philosophy. This was integrated into the transcendentalist view of process view of science and spirituality developed from Western Unitarianism by Emerson (agapism), and featuring a metaphysics of emptiness and spontaneity (tychism) that are also essential for the Eastern philosophies of Buddhism and Vedanta. Copyright © 2017 Elsevier Ltd. All rights reserved.

  15. Relationships between the Philosophy of Science and Didactics of Science.

    Science.gov (United States)

    Aduriz-Bravo, Agustin; Izquierdo, Merce; Galagovsky, Lydia

    2002-01-01

    Presents a theoretical classification of relationships between the philosophy of science and didactics of science, based on the metadiscursive nature which philosophy and didactics share. Describes five different relationships between the two disciplines: material, instrumental, explanatory, rhetorical, and metatheoretical. (Author/MM)

  16. On the way to a philosophy of science education

    Science.gov (United States)

    Schulz, Roland M.

    This Thesis argues the case that a philosophy of science education is required for improving science education as a research field as well as curriculum and teacher pedagogy. It seeks to re-think science education as an educational endeavor by examining why past reform efforts have been only partially successful, including why the fundamental goal of achieving scientific literacy after several "reform waves" has proven to be so elusive. The identity of such a philosophy is first defined in relation to the fields of philosophy, philosophy of science, and philosophy of education. Considering science education as a research discipline it is emphasized a new field should be broached with the express purpose of developing a discipline-specific "philosophy of science education" (largely neglected since Dewey). A conceptual shift towards the philosophy of education. is needed, thereto, on developing and demarcating true educational theories which could in addition serve to reinforce science education's growing sense of academic autonomy and independence from socio-economic demands. Two educational metatheories are contrasted, those of Kieran Egan and the Northern European Bildung tradition, to illustrate the task of such a philosophy. Egan's cultural-linguistic metatheory is presented for two primary purposes: it is offered as a possible solution to the deadlock of the science literacy conceptions within the discipline; regarding practice, examples are provided how it can better guide the instructional practice of teachers, specifically how it reinforces the work of other researchers in the History and Philosophy of Science (HPS) reform movement who value narrative in learning science. Considering curriculum and instruction, a philosophy of science education is conceptualized as a "second order" reflective capacity of the teacher. This notion is aligned with Shulman's idea of Pedagogical Content Knowledge. It is argued that for educators the nature of science learning

  17. Interactions between science and technology and present-day philosophy

    International Nuclear Information System (INIS)

    1981-01-01

    The authors plead for a revival of the symbiosis between science and technology and philosophy. Their contributions to the assessment of the consequences in science and technology as a task of philosophy as well as to the effects of science and technology on present-day philosophy want to give new impulses to this revival. (DG) [de

  18. The borderlands between science and philosophy: an introduction.

    Science.gov (United States)

    Pigliucci, Massimo

    2008-03-01

    Science and philosophy have a very long history, dating back at least to the 16th and 17th centuries, when the first scientist-philosophers, such as Bacon, Galilei, and Newton, were beginning the process of turning natural philosophy into science. Contemporary relationships between the two fields are still to some extent marked by the distrust that maintains the divide between the so-called "two cultures." An increasing number of philosophers, however, are making conceptual contributions to sciences ranging from quantum mechanics to evolutionary biology, and a few scientists are conducting research relevant to classically philosophical fields of inquiry, such as consciousness and moral decision-making. This article will introduce readers to the borderlands between science and philosophy, beginning with a brief description of what philosophy of science is about, and including a discussion of how the two disciplines can fruitfully interact not only at the level of scholarship, but also when it comes to controversies surrounding public understanding of science.

  19. Problems in the Science and Mathematics of 'The Logic of Scientific Discovery'

    Directory of Open Access Journals (Sweden)

    Alan B. Whiting

    2012-11-01

    Full Text Available Professor Sir Karl Popper (1902-1994 was one of the most influential philosophers of science of the twentieth century. However, in his most famous work 'The Logic of Scientific Discovery' he displays troubling misunderstandings of science and mathematics at a basic level. These call into question his conclusions concerning the philosophy of science. Quanta 2012; 1: 13–18.

  20. 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

    CERN Document Server

    Landry, Elaine

    2016-01-01

    This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play feat...

  1. 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

    CERN Document Server

    Landry, Elaine

    2015-01-01

    This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meeting’s special topic, Early Scientific Computation. These papers cover subjects such as •Physical tools used by mathematicians in the seventeenth century •The first historical appearance of the game-theoretical concept of mixed-strategy equilibrium •George Washington’s mathematical cyphering books •The development of the Venn diagram •The role of Euler and other mathematicians in the development of algebraic analysis •Arthur Cayley and Alfred Kempe’s influence on Charles Peirce's diagrammatic logic •The influence publishers had on the development of mathematical...

  2. The Landscape Of Philosophy Of Science

    DEFF Research Database (Denmark)

    Nistrup Madsen, Bodil; Hjørland, Birger; Brier, Søren

    2016-01-01

    In Denmark, all higher education programs must include a course on philosophy of science. Therefore, a group of researchers at Copenhagen Business School (CBS) are developing a smartphone application where information about central theoretical paradigms and concepts from philosophy of science can...... be visualized and disseminated in an easily accessible and systematic manner. This will be achieved by entering structured knowledge about concepts from philosophy of science in both Danish and English into a terminology and knowledge base which will provide the opportunity to “navigate in conceptual landscapes......” (here used metaphorically for terminological ontologies) in the same way as we navigate in maps. The result of the project will be a tool that can help students in their studies and support their information retrieval. The project is based on existing technologies and research in knowledge organization...

  3. History, philosophy, and science teaching: The present rapprochement

    Science.gov (United States)

    Matthews, Michael R.

    1992-03-01

    This paper traces the use of, and arguments for, the history and philosophy of science in school science courses. Specific attention is paid to the British National Curriculum proposals and to the recommendations of the US Project 2061 curriculum guidelines. Some objections to the inclusion of historical material in science courses are outlined and answered. Mention is made of the Piagetian thesis that individual psychological development mirrors the development of concepts in the history of science. This introduces the topic of idealisation in science. Some significant instances are itemised where science education has, at its considerable cost, ignored work in philosophy of science. Arguments for the inclusion of the history and philosophy of science in science teacher education programmes are given. The paper finishes with a list of topical issues in present science education where collaboration between science teachers, historians, philosophers, and sociologists would be of considerable benefit.

  4. The Beyträge at 200: Bolzano's quiet revolution in the philosophy of mathematics

    Directory of Open Access Journals (Sweden)

    Jan Sebestik

    2013-02-01

    Full Text Available This paper surveys Bolzano's Beyträge zu einer begründeteren Darstellung der Mathematik (Contributions to a better-grounded presentation of mathematics on the 200th anniversary of its publication.  The first and only published issue presents a definition of mathematics, a classification of its subdisciplines, and an essay on mathematical method, or logic.  Though underdeveloped in some areas (including,somewhat surprisingly, in logic, it is nonetheless a radically innovative work, where Bolzano presents a remarkably modern account of axiomatics and the epistemology of the formal sciences.  We also discuss the second, unfinished and unpublished issue, where Bolzano develops his views on universal mathematics. Here we find the beginnings of his theory of collections, for him the most fundamental of the mathematical disciplines.  Though not exactly the same as the later Cantorian set theory, Bolzano's theory of collections was used in very similar ways in mathematics, notably in analysis.  In retrospect, Bolzano's debut in philosophy was a remarkably successful one, though its fruits would only become generally known much later.

  5. Philosophy of mathematics set theory, measuring theories, and nominalism

    CERN Document Server

    Preyer, Gerhard

    2008-01-01

    One main interest of philosophy is to become clear about the assumptions, premisses and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is acheivable or necessary like the articles in the firt part of the publication show. Also the role of formal derivations, the role of the concept of apriority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the ""indispensability argument"" of W. v. O.

  6. Naturalized Philosophy of Science and Natural Science Education.

    Science.gov (United States)

    Siegel, Harvey

    1993-01-01

    Reviews the philosophical controversy concerning naturalism, and investigates the role it might play in the science classroom. Argues that science students can benefit from explicit study of this controversy and from explicit consideration of the extent to which philosophy of science can be studied naturalistically. (PR)

  7. How can philosophy be a true cognitive science discipline?

    Science.gov (United States)

    Bechtel, William

    2010-07-01

    Although philosophy has been only a minor contributor to cognitive science to date, this paper describes two projects in naturalistic philosophy of mind and one in naturalistic philosophy of science that have been pursued during the past 30 years and that can make theoretical and methodological contributions to cognitive science. First, stances on the mind-body problem (identity theory, functionalism, and heuristic identity theory) are relevant to cognitive science as it negotiates its relation to neuroscience and cognitive neuroscience. Second, analyses of mental representations address both their vehicles and their contents; new approaches to characterizing how representations have content are particularly relevant to understanding the relation of cognitive agents to their environments. Third, the recently formulated accounts of mechanistic explanation in philosophy of science both provide perspective on the explanatory project of cognitive science and may offer normative guidance to cognitive science (e.g., by providing perspective on how multiple disciplinary perspectives can be integrated in understanding a given mechanism). Copyright © 2010 Cognitive Science Society, Inc.

  8. Why cognitive science needs philosophy and vice versa.

    Science.gov (United States)

    Thagard, Paul

    2009-04-01

    Contrary to common views that philosophy is extraneous to cognitive science, this paper argues that philosophy has a crucial role to play in cognitive science with respect to generality and normativity. General questions include the nature of theories and explanations, the role of computer simulation in cognitive theorizing, and the relations among the different fields of cognitive science. Normative questions include whether human thinking should be Bayesian, whether decision making should maximize expected utility, and how norms should be established. These kinds of general and normative questions make philosophical reflection an important part of progress in cognitive science. Philosophy operates best, however, not with a priori reasoning or conceptual analysis, but rather with empirically informed reflection on a wide range of findings in cognitive science. Copyright © 2009 Cognitive Science Society, Inc.

  9. Applying contemporary philosophy in mathematics and statistics education : The perspective of inferentialism

    NARCIS (Netherlands)

    Schindler, Maike; Mackrell, Kate; Pratt, Dave; Bakker, A.

    2017-01-01

    Schindler, M., Mackrell, K., Pratt, D., & Bakker, A. (2017). Applying contemporary philosophy in mathematics and statistics education: The perspective of inferentialism. In G. Kaiser (Ed.). Proceedings of the 13th International Congress on Mathematical Education, ICME-13

  10. Towards mathematical philosophy

    CERN Document Server

    Hendricks, Vincent F

    2008-01-01

    Logical investigations in cognitive science have successfully utilized methods and systems of belief revision, non-monotonic logic and dynamic epistemic logic. This title deals with focal issues of belief revision. It contains a collection of articles applying methods of logic or, more generally, of mathematics to solve problems.

  11. The Brentanist Philosophy of Mathematics in Edmund Husserl’s Early Works

    NARCIS (Netherlands)

    Ierna, Carlo; Centrone, Stefania

    2017-01-01

    A common analysis of Edmund Husserl’s early works on the philosophy of logic and mathematics presents these writings as the result of a combination of two distinct strands of influence: on the one hand a mathematical influence due to his teachers is Berlin, such as Karl Weierstrass, and on the other

  12. All about science philosophy, history, sociology & communication

    CERN Document Server

    Lam, Liu

    2014-01-01

    There is a lot of confusion and misconception concerning science. The nature and contents of science is an unsettled problem. For example, Thales of 2,600 years ago is recognized as the father of science but the word science was introduced only in the 14th century; the definition of science is often avoided in books about philosophy of science. This book aims to clear up all these confusions and present new developments in the philosophy, history, sociology and communication of science. It also aims to showcase the achievement of China's top scholars in these areas. The 18 chapters, divided into five parts, are written by prominent scholars including the Nobel laureate Robin Warren, sociologist Harry Collins, and physicist-turned-historian Dietrich Stauffer.

  13. A historical introduction to the philosophy of science

    CERN Document Server

    Losee, John

    1993-01-01

    This new edition brings up to date this accessible study of the philosophy of science. Since the time of Plato and Aristotle, scientists and philosophers have raised questions about the proper evaluation of scientific interpretations. A Historical Introduction to the Philosophy of Science is an exposition of differing viewpoints on issues such as the distinction between scientific inquiry and other types of interpretation, the relationship between theories and observation reports; the evaluation of competing theories; and the nature of progress in science. The author makes accessible the philosophy of science to readers who may not have extensive knowledge of formal logic or the history of the several sciences. The third edition incorporates an extended discussion of recent developments. Historicist critics of Logical Empiricism have established that evaluative standards and cognitive aims have changed within the history of science. This edition examines these changes, the recent controversies over scientific...

  14. Post-Empiricism and Philosophy of Science

    Directory of Open Access Journals (Sweden)

    Michele Marsonet

    2018-02-01

    Full Text Available The aim of this paper is to provide some sketchy remarks on the post-empiricist phenomenon in philosophy of science, taking into account the themes of the relationships between language on the one side and reality on the other, and the parallel problem of the alleged elimination of metaphysics. Unlike the logical empiricists, Popper believes that a clear separation between (i analytic and synthetic sentences, and (ii between theory and observation, is an impossible task. According to his view, theory and observation are intimately linked to each other, and no pure observation is ever possible. A position very similar to Popper’s was endorsed by the American pragmatists in the last two centuries with Charles S. Peirce, William James and John Dewey. There also are important similarities between what Popper says and William James’ theses. It is clear that if we recognize that the theoretical dimension precedes observation, and if we claim furthermore that scientific theories have a creative character, then we may explain the “jumps” that often take place in the history of science. Later on Feyerabend and his followers have turned philosophy of science into something mysterious and not easily classifiable in philosophical or scientific terms. The anything goes undermines the meaning itself of the discipline. If science is equated to any other dimension of spirit - art, religion, or even witchcraft - the specific and cognitive character of scientific rationality is eliminated. It follows that philosophy of science loses any meaningful role within the field of human knowledge, while even philosophy as such becomes more similar to a joke than to a serious endeavor.

  15. La Meme Chose: How Mathematics Can Explain the Thinking of Children and the Thinking of Children Can Illuminate Mathematical Philosophy

    Science.gov (United States)

    Cable, John

    2014-01-01

    This article offers a new interpretation of Piaget's decanting experiments, employing the mathematical notion of equivalence instead of conservation. Some reference is made to Piaget's theories and to his educational legacy, but the focus in on certain of the experiments. The key to the new analysis is the abstraction principle, which has been formally enunciated in mathematical philosophy but has universal application. It becomes necessary to identity fluid objects (both configured and unconfigured) and configured and unconfigured sets-of-objects. Issues emerge regarding the conflict between philosophic realism and anti-realism, including constructivism. Questions are asked concerning mathematics and mathematical philosophy, particularly over the nature of sets, the wisdom of the axiomatic method and aspects of the abstraction principle itself.

  16. Mario Bunge, Systematic Philosophy and Science Education: An Introduction

    Science.gov (United States)

    Matthews, Michael R.

    2012-10-01

    Mario Bunge was born in Argentina in 1919 and is now in his mid-90s. He studied atomic physics and quantum mechanics with Guido Beck (1903-1988), an Austrian refugee and student of Heisenberg. Additionally he studied modern philosophy in an environment that was a philosophical backwater becoming the first South American philosopher of science to be trained in science. His publications in physics, philosophy, psychology, sociology and the foundations of biology, are staggering in number, and include a massive 8-volume Treatise on Philosophy. The unifying thread of his scholarship is the constant and vigorous advancement of the Enlightenment Project, and criticism of cultural and academic movements that deny or devalue the core planks of the project: namely its naturalism, the search for truth, the universality of science, the value of rationality, and respect for individuals. At a time when specialisation is widely decried, and its deleterious effects on science, philosophy of science, educational research and science teaching are recognised, and at a time when `grand narratives' are thought both undesirable and impossible—it is salutary to appraise the fruits of one person's pursuit of the `Big' scientific and philosophical picture or grand narrative. In doing so this special issue brings together philosophers, physicists, biologists, sociologists, logicians, cognitive scientists, economists and mathematicians to examine facets of Mario Bunge's systematic philosophy and to appraise its contribution to important issues in current philosophy and, by implication, education.

  17. Checks and balances: the welcomed tension between philosophy and science.

    Science.gov (United States)

    Watson, Jamie Carlin; Arp, Robert

    2008-03-01

    There is a tension between science and philosophy, but this tension need not engender enmity or derision. Scientists and philosophers can work together, and we argue that working together is beneficial to both, even if it is sometimes uncomfortable. We offer examples of how philosophy can autonomously and effectively inform scientific practice. Science and philosophy share certain methodological concerns and practices; therefore, scientists who disregard philosophy are vulnerable to critical conceptual mistakes. If our arguments are correct, and if it can also be shown that science informs philosophy, then, while it is possible for both disciplines to operate autonomously, each should welcome the checks and balances that each provides for one another in the investigation and explanation of reality.

  18. Three Kinds of Political Engagement for Philosophy of Science

    Science.gov (United States)

    Reisch, George

    2009-01-01

    In responding to critics and reviewers of my book, "How the Cold War Transformed Philosophy of Science," I attempt to identify some misleading conventional wisdom about the place of values in philosophy of science and then offer three distinct ways in which philosophers of science can engage their work with ongoing social and political currents.

  19. Operational Health Physics-Science or Philosophy?

    International Nuclear Information System (INIS)

    Carter, M. W.

    2004-01-01

    Operational health physics is concerned with protecting workers and the public from harm due to ionizing radiation. This requires the application of philosophy (ethics) as well as science. Operational health physics philosophy has been dominated by the ICRP. A particular aspect of ICRP's philosophy that is often misunderstood is (As low as reasonably achievable, economic and social factors being taken into account). (ALARA) Although the ALARA philosophy has been interpreted as a cost-benefit approach it is in fact a risk-benefit approach including social considerations as the ICRP has emphasised from time to time. A recent report has accused the ICRP of using a discarded philosophical approach, namely Utilitarianism, as a result of which its recommendations are unethical. The report suggests that a (rights) based philosophy such as Rawls' Theory of Justice would be a more appropriate basis. This paper discusses this accusation, considers some relevant philosophies and concludes that the accusation is not valid and that ICRP's recommendations are ethical but are frequently misinterpreted. (Author)

  20. Game theory in philosophy

    NARCIS (Netherlands)

    de Bruin, B.P.

    2005-01-01

    Game theory is the mathematical study of strategy and conflict. It has wide applications in economics, political science, sociology, and, to some extent, in philosophy. Where rational choice theory or decision theory is concerned with individual agents facing games against nature, game theory deals

  1. Some Main Features of Wittgenstein´s Philosophy

    OpenAIRE

    Brock, Steen

    2006-01-01

    Der er tale om to kapitler fra et bogmanuskript om Wittgensteins filosofi. Teksten laver en systematisk kobling mellem sprogfilosofien, matematikfilosofien, psykologiens filosofi og naturvidenskabs-filosofien. Two chapters from a book manuscript, where four parts of Wittgenstein´s philosophy are systematically interconnected, philosophy of language, mathematics, psychology and natural science

  2. When Science Studies Religion: Six Philosophy Lessons for Science Classes

    Science.gov (United States)

    Pigliucci, Massimo

    2013-01-01

    It is an unfortunate fact of academic life that there is a sharp divide between science and philosophy, with scientists often being openly dismissive of philosophy, and philosophers being equally contemptuous of the naivete of scientists when it comes to the philosophical underpinnings of their own discipline. In this paper I explore the…

  3. Operational Health Physics-Science or Philosophy?

    Energy Technology Data Exchange (ETDEWEB)

    Carter, M. W.

    2004-07-01

    Operational health physics is concerned with protecting workers and the public from harm due to ionizing radiation. This requires the application of philosophy (ethics) as well as science. Operational health physics philosophy has been dominated by the ICRP. A particular aspect of ICRP's philosophy that is often misunderstood is (As low as reasonably achievable, economic and social factors being taken into account). (ALARA) Although the ALARA philosophy has been interpreted as a cost-benefit approach it is in fact a risk-benefit approach including social considerations as the ICRP has emphasised from time to time. A recent report has accused the ICRP of using a discarded philosophical approach, namely Utilitarianism, as a result of which its recommendations are unethical. The report suggests that a (rights) based philosophy such as Rawls' Theory of Justice would be a more appropriate basis. This paper discusses this accusation, considers some relevant philosophies and concludes that the accusation is not valid and that ICRP's recommendations are ethical but are frequently misinterpreted. (Author)

  4. The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

    International Nuclear Information System (INIS)

    Stakhov, A.P.

    2005-01-01

    The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles

  5. From philosophy to science (to natural philosophy): evolutionary developmental perspectives.

    Science.gov (United States)

    Love, Alan C

    2008-03-01

    This paper focuses on abstraction as a mode of reasoning that facilitates a productive relationship between philosophy and science. Using examples from evolutionary developmental biology, I argue that there are two areas where abstraction can be relevant to science: reasoning explication and problem clarification. The value of abstraction is characterized in terms of methodology (modeling or data gathering) and epistemology (explanatory evaluation or data interpretation).

  6. Can there be science without philosophy?

    Science.gov (United States)

    Nathan, Marco J; Brancaccio, Diego; Zoccali, Carmine

    2016-12-01

    Over the last few decades, philosophy has gained an increasingly bad reputation among working scientists. Prominent researchers have suggested, in various forms and degrees of mockery, that philosophy has little or nothing positive to contribute to science. This essay provides a response to these allegations. We begin by examining, and ultimately questioning, an influential argument purporting to undermine the significance of a philosophical approach to science. Next, we offer some biomedical examples where philosophical speculation plays a prominent role. We conclude by arguing that, when understood in the appropriate context, philosophical reflection is an important-indeed, integral-ingredient of healthy scientific inquiry. © The Author 2016. Published by Oxford University Press on behalf of ERA-EDTA. All rights reserved.

  7. The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

    Energy Technology Data Exchange (ETDEWEB)

    Stakhov, A.P. [International Club of the Golden Section, 6 McCreary Trail, Bolton, ON, L7E 2C8 (Canada)] e-mail: goldenmuseum@rogers.com

    2005-10-01

    The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles.

  8. (AntiHermeneutical Philosophy for Science

    Directory of Open Access Journals (Sweden)

    Evaldas Juozelis

    2012-12-01

    Full Text Available Philosophical hermeneutics claims that human understanding, while being contingent and historical, is likewise universal and bears within itself some pervasive features detectable via hermeneutical analyses of historically imparted tradition and language. Similarly, hermeneutical philosophy of science is confident that hermeneutical methods are the only proper tool to adequately assess, reconstruct, explain or give a meaning to historical but universal scientific knowledge and its various forms. I point out two versions of hermeneutical philosophy of science and argue that whenever philosophical hermeneutics pursues rescuing "scientificity", human rationality, human rights, common values, and so forth under the pretence of its universality and competence, it necessarily transcends and violates the tenets of its own. I conclude in the favour of moderate interpretation of practical hermeneutics, perhaps in the very essence of it rest postmodern concepts of historicality, transparency and tolerance, without which there is no possibility of extricating oneself from hermeneuticism.

  9. History, Applications, and Philosophy in Mathematics Education: HAPh--A Use of Primary Sources

    Science.gov (United States)

    Jankvist, Uffe Thomas

    2013-01-01

    The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different "whys" and "hows" of including these three dimensions in mathematics education. Based on the observation that a use of history, applications, and…

  10. The philosophy of space and time

    CERN Document Server

    Reichenbach, Hans

    1958-01-01

    With unusual depth and clarity, the author covers the problem of the foundations of geometry, the theory of time, the theory and consequences of Einstein's relativity including: relations between theory and observations, coordinate definitions, relations between topological and metrical properties of space, the psychological problem of the possibility of a visual intuition of non-Euclidean structures, and many other important topics in modern science and philosophy. While some of the book utilizes mathematics of a somewhat advanced nature, the exposition is so careful and complete that most people familiar with the philosophy of science or some intermediate mathematics will understand the majority of the ideas and problems discussed. Partial contents: I. The Problem of Physical Geometry. Universal and Differential Forces. Visualization of Geometries. Spaces with non-Euclidean Topological Properties. Geometry as a Theory of Relations. II. The Difference between Space and Time. Simultaneity. Time Order. Unreal ...

  11. Mathematics Curriculum, the Philosophy of Mathematics and its ...

    African Journals Online (AJOL)

    A curriculum designed around habits of mind comprises both the content and the process. The existing .... Research in learning shows that ... and various interrelated experiences that ... mathematics has very little connection with .... that uses workplace and everyday tasks to .... cognitive sciences has supported the notion.

  12. Democratizing science and technology education: Perspectives from the philosophy of education

    Science.gov (United States)

    Pierce, Clayton Todd

    This study examines conceptualizations of science and technology and their relation to ideas of democratic education in the history of philosophy of education. My genealogical analysis begins by tracing the anti-democratic emergence of ideas and values of science and technology that have evolved through ancient and modern periods within the philosophy of education and continue to shape the ways science and technology are understood and treated in educational settings. From my critical engagement with Plato's Republic and Rousseau's Emile, I argue that anti-democratic structures and values have been embedded in philosophy of education through Plato's educational theory of techne and Rousseau's pedagogical theory that involves science and technology as important educational force. Following this theme, I analyze the work of John Dewey and Herbert Marcuse and their shared project for democratizing science and technology through education. Through a critical comparison of both theorists' models, I suggest that each provides positive legacies for philosophy of education to draw upon in rethinking the intersection of science, technology, and education: a strong model for understanding public problems associated with a highly technological and scientific society and a reconstructive framework for values and sensibilities that demands a new value relationship to be developed between humans and science and technology. Finally, I situate my critique and assessment of this history in the philosophy of education within the current science and technology education reform movement in the United States. I claim that the official models of science and technological literacy and inquiry, as constructed by the National Academy of Sciences and a host of governmental policies, shape science and technology education with a decidedly neo-liberal focus and purpose. In response to this anti-democratic movement I offer an alternative position that utilizes a counter-epistemology to the

  13. Discourses on Philosophies of Science in International Business Studies

    DEFF Research Database (Denmark)

    Jakobsen, Michael; Worm, Verner

    or her capable of developing a pertinent explanatory framework for how to engage a foreign market. Before starting to look for appropriate research methodologies and tools for data collection, however, a pertinent philosophy of science point of departure has to be selected. This article has chosen...... to discuss three different philosophies of science. Each one of them is capable of providing the analyst with a specific take on how to ‘think’ data that are being extracted. Arguably, whatever approach one selects, the choice will have a crucial impact on the outcome of the research process. After settling...... company to their own benefit as well as to the company’ per se. The article closes with a critical discussion of the ramification of selecting one philosophy of science over another when engaging in either qualitative or quantitative research in an IB context....

  14. The changing role of continuity and discontinuity in the history of philosophy and mathematics

    Directory of Open Access Journals (Sweden)

    Danie F.M. Strauss

    2017-01-01

    Full Text Available The aim of this article is to highlight the inevitability of employing discreteness and continuity as primitive (indefinable modes of explanation in the history of philosophy and mathematics. It embodies the general challenge to account for the coherence of what is unique. Gödel emphasises the coherence of ‘primitive concepts’. Greek philosophy already discovered the spatial whole and/or parts relation with its infinite divisibility. During and after the medieval era philosophers toggled between an atomistic appreciation of the continuum and its opposite, for example found in the thought of Leibniz who postulated his law of continuity (lex continui. The discovery of incommensurability (irrational numbers by the Greeks caused the first foundational crisis of mathematics, as well as its geometrisation. Leibniz and Newton did not resolve the problems surrounding the limit concept and soon it induced the third foundational crisis of mathematics. It caused Frege and the ‘continuum theoreticians’ to assign priority to the continuum – discreteness is a catastrophe. Recently Smooth Infinitesimal Analysis appreciated what is ‘continuous’ as constituting ‘an unbroken or uninterrupted whole’. Intuitionistic mathematics once more proceeded from an emphasis on the whole and/or parts relation. In spite of alternating attempts to understand continuity exclusively, either in arithmetical or in spatial terms, the history of philosophy and mathematics undeniably confirms that the co-conditioning role of these two modes of explanation remains a constant element in reflections on continuity and discontinuity. (The role of continuity and discontinuity within the disciplines of physics and biology will be discussed in a separate article.

  15. A unifying philosophy of governance

    Directory of Open Access Journals (Sweden)

    Sankarshan Acharya

    2012-09-01

    Full Text Available Bertrand Russell won Nobel Prize for arguing that science has triumphed over religion. Since religions are based on god, Russell’s argument implies that science has triumphed over both religion and god. But neither Russell nor anyone else has ever defined religion and god, rationally. The assertion about triumph of science (which is founded on rationality over concepts such as religion and god (which are not defined rationally or scientifically in the extant literature cannot be rational. This paper offers a novel rational philosophical foundation for the concepts of god, religion and science in which the claim that science triumphs over religion is redundant. This paper also presents substantial new insights about epistemic truths to help resolve current problems facing humanity like financial moral hazard and terrorism which have unnerved nations worldwide. The humanity now begs to answer a fundamental question of how we can govern ourselves. This paper offers a coherent set of credible answers. In particular, it offers a coherent unified philosophy about how humans have universally formed beliefs to govern themselves and how this philosophy could help resolve current problems. The universal rendering of beliefs articulated here subsumes the extant characterization of probability beliefs in mathematics, science, engineering, economics, religion and philosophy. The universal beliefs so articulated in this paper obviate the currently prevalent philosophical conflicts between religion and science or between theism and atheism and paves the way for optimal governance for prosperity amid stability. This philosophy also offers a rational characterization of the spiritual notion of Nirvana or salvation of the soul and the notion of epistemic truth. The unifying philosophy can help humanity achieve unity, stability and prosperity, sans financial moral hazard, antagonism, wars, nuclear proliferation, global warming and atmospheric pollution.

  16. Realism, functions, and the a priori: Ernst Cassirer's philosophy of science.

    Science.gov (United States)

    Heis, Jeremy

    2014-12-01

    This paper presents the main ideas of Cassirer's general philosophy of science, focusing on the two aspects of his thought that--in addition to being the most central ideas in his philosophy of science--have received the most attention from contemporary philosophers of science: his theory of the a priori aspects of physical theory, and his relation to scientific realism.

  17. Why natural science needs phenomenological philosophy.

    Science.gov (United States)

    Rosen, Steven M

    2015-12-01

    Through an exploration of theoretical physics, this paper suggests the need for regrounding natural science in phenomenological philosophy. To begin, the philosophical roots of the prevailing scientific paradigm are traced to the thinking of Plato, Descartes, and Newton. The crisis in modern science is then investigated, tracking developments in physics, science's premier discipline. Einsteinian special relativity is interpreted as a response to the threat of discontinuity implied by the Michelson-Morley experiment, a challenge to classical objectivism that Einstein sought to counteract. We see that Einstein's efforts to banish discontinuity ultimately fall into the "black hole" predicted in his general theory of relativity. The unavoidable discontinuity that haunts Einstein's theory is also central to quantum mechanics. Here too the attempt has been made to manage discontinuity, only to have this strategy thwarted in the end by the intractable problem of quantum gravity. The irrepressible discontinuity manifested in the phenomena of modern physics proves to be linked to a merging of subject and object that flies in the face of Cartesian philosophy. To accommodate these radically non-classical phenomena, a new philosophical foundation is called for: phenomenology. Phenomenological philosophy is elaborated through Merleau-Ponty's concept of depth and is then brought into focus for use in theoretical physics via qualitative work with topology and hypercomplex numbers. In the final part of this paper, a detailed summary is offered of the specific application of topological phenomenology to quantum gravity that was systematically articulated in The Self-Evolving Cosmos (Rosen, 2008a). Copyright © 2015. Published by Elsevier Ltd.

  18. [The function of philosophy of science in the teaching of medical history].

    Science.gov (United States)

    Li, Yaming

    2014-05-01

    The philosophy of science yields 3 important functions in the teaching of medical history. Firstly, by analyzing the development of medicine from the perspective of philosophy, we can integrate medical history into the history of human thought and clearly show the close connection between the development of humanity and the development of medical science. Secondly, philosophical analysis on the general rules of scientific discoveries involved in medical history can help medical students to understand the methodology in the research of sciences in history. Thirdly, philosophy of science offers new dimensions for understanding the relationship between medicine and the society. By making use of the relevant theory in scientific philosophy to explore the relationship between medicine and the society, the nature of medicine and the social nature and function of science can be further understood by medical students so as to exert an active role in the research and clinical work in the future.

  19. Philosophy, history and sociology of science: interdisciplinary relations and complex social identities.

    Science.gov (United States)

    Riesch, Hauke

    2014-12-01

    Sociology and philosophy of science have an uneasy relationship, while the marriage of history and philosophy of science has--on the surface at least--been more successful I will take a sociological look at the history of the relationships between philosophy and history as well as philosophy and sociology of science. Interdisciplinary relations between these disciplines will be analysed through social identity complexity theory in oider to draw out some conclusions on how the disciplines interact and how they might develop. I will use the relationships between the disciplines as a pointer for a more general social theory of interdisciplinarity which will then be used to sound a caution on how interdisciplinary relations between the three disciplines might be managed.

  20. History, Philosophy and Science Teaching: Some Answers to ``How?''

    Science.gov (United States)

    Pessoa de Carvalho, Anna Maria; Infantosi Vannucchi, Andréa

    The study of the history and philosophy of science in school science courses is highly recommended. This paper deals with the methodological aspects derived from research in science education and how they have to be taken into account in order to generate effective classroom activities, so that history and philosophy are not relegated to the status of additional rhetoric of conclusions in an extensive curricula. This is illustrated with the analysis of episodes ___ transcribed from videotape records ___ which took place when such activity was introduced into high school physics classes. This analysis has shown that students, when working in cooperative groups over problematic historical episodes, may come to discuss essential features of science. This not only provides a more realistic view of science, but also enhances cognitive and argumentation skills, besides emphasizing the importance of teachers' guidance.

  1. Mathematical reasoning analogies, metaphors, and images

    CERN Document Server

    English, Lyn D

    2013-01-01

    How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mat

  2. Philosophy of Science and Education

    Science.gov (United States)

    Jung, Walter

    2012-01-01

    This is a vast and vague topic. In order to do justice to it one has to write a book or maybe more than one. For it can be understood in quite different ways and on different levels. For example you may think mainly of the historical aspect, that is how philosophy of science developed in the last hundred or so years and how its influence on…

  3. Innovating Science Teacher Education: A History and Philosophy of Science Perspective

    Science.gov (United States)

    Niaz, Mansoor

    2010-01-01

    How teachers view the nature of scientific knowledge is crucial to their understanding of science content and how it can be taught. This book presents an overview of the dynamics of scientific progress and its relationship to the history and philosophy of science, and then explores their methodological and educational implications and develops…

  4. From combinatorics to philosophy the legacy of G.-C. Rota

    CERN Document Server

    Damiani, Ernesto; Marra, Vincenzo

    2009-01-01

    This book provides an assessment of G. -C. Rota's legacy to international research in mathematics, philosophy and computer science. It includes chapters by leading researchers as well as a number of invited research papers.

  5. The "Paranormal": African Philosophy Questions Science Modern ...

    African Journals Online (AJOL)

    This essay will address the question of the reality of 'paranormal' events and defend the thesis ..... philosophy and science, guided exclusively by the canons of the logic of binary opposition ..... independent entity (Davies 1990: 72-90). Ifit does ...

  6. Using Mathematics in Science: Working with Your Mathematics Department

    Science.gov (United States)

    Lyon, Steve

    2014-01-01

    Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

  7. Explanatory Unification by Proofs in School Mathematics

    Science.gov (United States)

    Komatsu, Kotaro; Fujita, Taro; Jones, Keith; Naoki, Sue

    2018-01-01

    Kitcher's idea of 'explanatory unification', while originally proposed in the philosophy of science, may also be relevant to mathematics education, as a way of enhancing student thinking and achieving classroom activity that is closer to authentic mathematical practice. There is, however, no mathematics education research treating explanatory…

  8. Evidence of The Importance of Philosophy of Science Course On Undergraduate Level

    Science.gov (United States)

    Suyono

    2018-01-01

    This study aimed to describe academic impact of Philosophy of Science course in change of students’ conceptions on the Nature of science (NOS) before and after attending the course. This study followed one group pretest-posttest design. Treatment in this study was Philosophy of Science course for one semester. Misconception diagnostic tests of the NOS had been developed by Suyono et al. (2015) equipped with Certainty of Response Index (CRI). It consists of 15 concept questions about the NOS. The number of students who were tested on Chemistry Education Program (CEP) and Chemistry Program (CP) respectively 42 and 45 students. This study shows that after the learning of Philosophy of Science course happened: (1) the decrease of the number of misconception students on the NOS from 47.47 to 19.20% in CEP and from 47.47 to 18.18% in CP and (2) the decrease in the number of concepts that understood as misconception by the large number of students from 11 to 2 concepts on the CEP and from 10 to 2 concepts on CP. Therefore, the existence of Philosophy of Science course has a positive academic impact on students from both programs on undergraduate level.

  9. The Philosophy of Information as an Underlying and Unifying Theory of Information Science

    Science.gov (United States)

    Tomic, Taeda

    2010-01-01

    Introduction: Philosophical analyses of theoretical principles underlying these sub-domains reveal philosophy of information as underlying meta-theory of information science. Method: Conceptual research on the knowledge sub-domains in information science and philosophy and analysis of their mutual connection. Analysis: Similarities between…

  10. Making the Visual Visible in Philosophy of Science

    DEFF Research Database (Denmark)

    Carusi, Annamaria

    2012-01-01

    As data-intensive and computational science become increasingly established as the dominant mode of conducting scientific research, visualisations of data and of the outcomes of science become increasingly prominent in mediating knowledge in the scientific arena. This position piece advocates tha...... challenges the philosophy of science to re-think its position on three key distinctions: the qualitative/quantitative distinction, the subjective/objective distinction, and the causal/non-causal distinction....

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Search. Search. Proceedings – Mathematical Sciences. Title. Author. Keywords. Fulltext. Submit. Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 2. Current Issue Volume 128 | Issue 2. April 2018. Home · Volumes & Issues · Special Issues ...

  12. Physics, philosophy, and the nature of reality.

    Science.gov (United States)

    Maudlin, Tim

    2015-12-01

    Both science and philosophy have been characterized as seeking to understand the nature of reality. They are sometimes even pitted against each other, suggesting that the success of science undermines the relevance of philosophy. But attending to the sort of understanding or explanation being sought offers a different picture: contemporary physics as practiced sometimes fails to provide a clear physical account of the world. This lies at the root of the dissatisfaction with standard quantum theory expressed by Einstein, Schrödinger, and John Bell. As an example, close consideration of Schrödinger's famous cat example suggests that physicists often have missed his point. What a philosophical disposition can contribute is not alternative physics, but rather the sort of careful attention to argument needed to extract a physical picture from a mathematical formalism. © 2015 New York Academy of Sciences.

  13. The philosophy of mathematics translated from Cours de philosophie positive by W. M. Gillespie

    CERN Document Server

    Comte, Auguste

    2005-01-01

    Written by the nineteenth-century French philosophical founder of positivism, this comprehensive map of mathematical science assigns to each part of the complex whole its true position and value. The two-part treatment begins with a general view of mathematical analysis and advances to algebra, continuing with an exploration of geometry's ancient and modern methods.

  14. Logic from A to Z the Routledge encyclopedia of philosophy glossary of logical and mathematical terms

    CERN Document Server

    Bacon, John B; McCarty, David Charles; Bacon, John B

    1999-01-01

    First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of: * Logic: Argument, Turing Machine, Variable * Set and model theory: Isomorphism, Function * Computability theory: Algorithm, Turing Machine * Plus a table of logical symbols. Extensively cross-referenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.

  15. Philosophy at Cambridge, Newsletter of the Faculty of Philosophy

    OpenAIRE

    Lecky-Thompson, Jenni

    2009-01-01

    Philosophy Newsletter. Articles by: Edward Craig - From the Chairman. Onora O'Neill - "It's the newspapers I can't stand. Serena Olsaretti - The 2004 Annual Royal Institute of Philosophy Conference. Mary Leng - Mathematical Knowledge Conference. Postgraduate Conference. Jane Heal - Facts, Fables and Funds. Hugh Mellor - Uses and Abuses of Probability. Amanda Boyle - Nobody Knows Anything: Philosophy, Film and Me. Jaime Whyte - Seven Years at Cambridge Alex Oliver...

  16. Gender, Democracy, and Philosophy of Science - DOI: 10.3395/reciis.v1i1.39en

    Directory of Open Access Journals (Sweden)

    Sandra Harding

    2007-06-01

    Full Text Available Feminist epistemologies and philosophies of science have challenged conventional standards for objectivity, rationality, “good method” and “real science.” This paper looks at the stronger standards for maximizing objectivity which feminists have demanded, and the challenges to conventional philosophies and histories of science arising from non-Western science and technology traditions. Sciences and philosophies of science which want to advance social progress and social justice cannot do so if the ignore these challenges from groups located at “the peripheries of the Enlightenment.”

  17. Qualitative Research in Counseling Psychology: A Primer on Research Paradigms and Philosophy of Science

    Science.gov (United States)

    Ponterotto, Joseph G.

    2005-01-01

    This article presents an overview of philosophy of science and research paradigms. The philosophy of science parameters of ontology, epistemology, axiology, rhetorical structure, and methodology are discussed across the research paradigms of positivism, postpositivism, constructivism-interpretivism, and the critical-ideological perspective.…

  18. Fundamental awareness: A framework for integrating science, philosophy and metaphysics.

    Science.gov (United States)

    Theise, Neil D; Kafatos, Menas C

    2016-01-01

    The ontologic framework of Fundamental Awareness proposed here assumes that non-dual Awareness is foundational to the universe, not arising from the interactions or structures of higher level phenomena. The framework allows comparison and integration of views from the three investigative domains concerned with understanding the nature of consciousness: science, philosophy, and metaphysics. In this framework, Awareness is the underlying reality, not reducible to anything else. Awareness and existence are the same. As such, the universe is non-material, self-organizing throughout, a holarchy of complementary, process driven, recursive interactions. The universe is both its own first observer and subject. Considering the world to be non-material and comprised, a priori, of Awareness is to privilege information over materiality, action over agency and to understand that qualia are not a "hard problem," but the foundational elements of all existence. These views fully reflect main stream Western philosophical traditions, insights from culturally diverse contemplative and mystical traditions, and are in keeping with current scientific thinking, expressible mathematically.

  19. Analysing Theoretical Frameworks of Moral Education through Lakatos's Philosophy of Science

    Science.gov (United States)

    Han, Hyemin

    2014-01-01

    The structure of studies of moral education is basically interdisciplinary; it includes moral philosophy, psychology, and educational research. This article systematically analyses the structure of studies of moral educational from the vantage points of philosophy of science. Among the various theoretical frameworks in the field of philosophy of…

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 2. Notes on Discrete Subgroups of Möbius Transformations ... Department of Applied Mathematics, Hunan University, Changsha 410082, People's Republic of China; School of Mathematics and Computational Science, Wuyi University, Jiangmen, ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Mathematics, Teachers College of Qingdao University, Qingdao 266071, People's Republic of China; School of Mathematical Sciences, Ocean University of China, Qingdao 266100, People's Republic of China; School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People's ...

  2. Philosophy of science and the diagnostic process.

    Science.gov (United States)

    Willis, Brian H; Beebee, Helen; Lasserson, Daniel S

    2013-10-01

    This is an overview of the principles that underpin philosophy of science and how they may provide a framework for the diagnostic process. Although philosophy dates back to antiquity, it is only more recently that philosophers have begun to enunciate the scientific method. Since Aristotle formulated deduction, other modes of reasoning including induction, inference to best explanation, falsificationism, theory-laden observations and Bayesian inference have emerged. Thus, rather than representing a single overriding dogma, the scientific method is a toolkit of ideas and principles of reasoning. Here we demonstrate that the diagnostic process is an example of science in action and is therefore subject to the principles encompassed by the scientific method. Although a number of the different forms of reasoning are used readily by clinicians in practice, without a clear understanding of their pitfalls and the assumptions on which they are based, it leaves doctors open to diagnostic error. We conclude by providing a case example from the medico-legal literature in which diagnostic errors were made, to illustrate how applying the scientific method may mitigate the chance for diagnostic error.

  3. The "Human Factor" in Pure and in Applied Mathematics. Systems Everywhere: Their Impact on Mathematics Education.

    Science.gov (United States)

    Fischer, Roland

    1992-01-01

    Discusses the impact that the relationship between people and mathematics could have on the development of pure and applied mathematics. Argues for (1) a growing interest in philosophy, history and sociology of science; (2) new models in educational and psychological research; and (3) a growing awareness of the human factor in technology,…

  4. Biohumanities: rethinking the relationship between biosciences, philosophy and history of science, and society.

    Science.gov (United States)

    Stotz, Karola; Griffiths, Paul E

    2008-03-01

    We argue that philosophical and historical research can constitute a "Biohumanities" that deepens our understanding of biology itself engages in constructive "science criticism," helps formulate new "visions of biology," and facilitates "critical science communication." We illustrate these ideas with two recent "experimental philosophy" studies of the concept of the gene and of the concept of innateness conducted by ourselves and collaborators. We conclude that the complex and often troubled relations between science and society are critical to both parties, and argue that the philosophy and history of science can help to make this relationship work.

  5. Beyond Identity: the Dynamic Self at the Intersection of Performance Philosophy and the Philosophy of Science

    Directory of Open Access Journals (Sweden)

    Sibila Petlevski

    2014-07-01

    Full Text Available In this article we advocate the methodological feedback loop in the study of the dynamical self at the crossroads of performance philosophy, (artistic performance, and the philosophy of science. We point to the importance of the dynamics of methodology transfer between arts and sciences and the “interactive continuum” proposed by Newman & Benz in 1998. In the first part of this paper we give a comparative review of the research context relevant for our field of study, and we explain our research hubs in approaching the concept of “performance”. We suggest the possibility to define our filed of research in three equally legitimate ways: as philosophy-of-performance, philosophy-as-performance and performance-as-philosophy. In our recent work we are primarily interested in artistic performances that incorporate elements of artistic practice in the methodology of research output (Frayling 1993, as well as in the potentials of performative aspects of scientific praxis and methodology. However, the conceptual background relevant for this paper is in the field of process philosophy and its relation to science (Birkhard’s “interactivist model” 2009; Campbell’s “process-based model for an interactive ontology” 2009. We attribute particular importance to the notion of “autopoietic feedback” (Maturana and Varela 1974; Luhmann 1990. The second part addresses the issue of transcending identity in the representations of the self and the other; the relationship between Theory-Theory (TT and Simulation Theory (ST, as well as some recent attempts at combining different theories of mind (e.g. Barlassina 2013. We also deal with the notion of “embodied praxis” (Gallagher and Meltzoff 1996; we mention some neuroscientific insights into the similar phenomena, and – commenting on the importance of the dialogue between neuroscientists and philosophers (Changeux and Ricour – we give an example of an enactive approach to understanding

  6. When 'paradigms' differ: scientific communication between skepticism and hope in recent philosophy of science

    Directory of Open Access Journals (Sweden)

    R. Coletto

    2008-07-01

    Full Text Available The first half of this article illustrates how contemporary humanist philosophy of science got caught up in a gradual loss of confidence concerning the possibility of sound communication among scholars holding on to different paradigms or presuppositions. The second half is dedicated to the responses provided by a Christian school of philosophy to the bleak possibility of a communication crisis. The resources deployed by the reformational school of philosophy are argued to constitute valuable instruments to create a more hopeful attitude towards scientific dialogue. A final note is dedicated to the possible causes of the difficulties experienced in this area of reflection by contemporary humanist philosophy of science.

  7. An introduction to the mathematics of biology with computer algebra models

    CERN Document Server

    Yeargers, Edward K; Herod, James V

    1996-01-01

    Biology is a source of fascination for most scientists, whether their training is in the life sciences or not. In particular, there is a special satisfaction in discovering an understanding of biology in the context of another science like mathematics. Fortunately there are plenty of interesting (and fun) problems in biology, and virtually all scientific disciplines have become the richer for it. For example, two major journals, Mathematical Biosciences and Journal of Mathematical Biology, have tripled in size since their inceptions 20-25 years ago. The various sciences have a great deal to give to one another, but there are still too many fences separating them. In writing this book we have adopted the philosophy that mathematical biology is not merely the intrusion of one science into another, but has a unity of its own, in which both the biology and the math­ ematics should be equal and complete, and should flow smoothly into and out of one another. We have taught mathematical biology with this philosophy...

  8. Philosophical dimensions in mathematics education

    CERN Document Server

    Francois, Karen

    2007-01-01

    This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

  9. Mathematics and Computer Science | Argonne National Laboratory

    Science.gov (United States)

    Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Applications Software Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Opportunities For Employees Staff Directory Argonne National Laboratory Mathematics and Computer Science Tools

  10. Community science, philosophy of science, and the practice of research.

    Science.gov (United States)

    Tebes, Jacob Kraemer

    2005-06-01

    Embedded in community science are implicit theories on the nature of reality (ontology), the justification of knowledge claims (epistemology), and how knowledge is constructed (methodology). These implicit theories influence the conceptualization and practice of research, and open up or constrain its possibilities. The purpose of this paper is to make some of these theories explicit, trace their intellectual history, and propose a shift in the way research in the social and behavioral sciences, and community science in particular, is conceptualized and practiced. After describing the influence and decline of logical empiricism, the underlying philosophical framework for science for the past century, I summarize contemporary views in the philosophy of science that are alternatives to logical empiricism. These include contextualism, normative naturalism, and scientific realism, and propose that a modified version of contextualism, known as perspectivism, affords the philosophical framework for an emerging community science. I then discuss the implications of perspectivism for community science in the form of four propositions to guide the practice of research.

  11. COGNITIVE ASPECTS OF MODERN PHILOSOPHY OF HISTORICAL KNOWLEDGE

    Directory of Open Access Journals (Sweden)

    Spartak Sh. Aytov

    2014-06-01

    Full Text Available Purpose. The aim of this work is the intelligent reconstruction and the analysis of the various methodological approaches to cognitive areas of modern philosophy of history and determines their cognitive and academic relationships with conceptual terms of such branches of historical knowledge as historical anthropology. Methodology. Methodological tools of this work are such scientific approaches as methods of philosophy of science, interdisciplinary approach, methods of source and system analysis. Scientific novelty. Reproduced and analyzed was a number of methodological approaches inherent in the natural sciences and the social - the humanities. The latter, in accordance with the principles of interdisciplinary paradigm, is very widely applied by the modern philosophy of historical knowledge, in particular in the analysis of the historical process and its main elements: the mentality, attitudes and norms of socially significant and personal behavior of individuals and societies of the past. The influence of research on various historical and historical anthropological problems such concepts implanted in the methodology of modern philosophy of history scientific disciplines as chaos theory, synergetics, mathematical biology, ethnology, social psychology, etc. Focuses on intellectual connections are used in the philosophy of history, historical knowledge interdisciplinary methodology, theory and concepts of natural science and social - humanities. They are used to analyze and understand the complex and multifaceted historical events and processes. Conclusions. The result of the analysis of the cognitive dynamics applications in the philosophy of history of conceptual approaches of a very wide range of scientific disciplines has been the allocation of a number of phases of the mining process. Each of them has special logic - methodological and socio cultural characteristics ("Data". Internal, cognitive science dynamics of this unity was not the

  12. Cognitive Aspects of Modern Philosophy of Historical Knowledge

    Directory of Open Access Journals (Sweden)

    Spartak Sh. Aytov

    2014-06-01

    Full Text Available Purpose. The aim of this work is the intelligent reconstruction and the analysis of the various methodological approaches to cognitive areas of modern philosophy of history and determines their cognitive and academic relationships with conceptual terms of such branches of historical knowledge as historical anthropology. Methodology. Methodological tools of this work are such scientific approaches as methods of philosophy of science, interdisciplinary approach, methods of source and system analysis. Scientific novelty. Reproduced and analyzed was a number of methodological approaches inherent in the natural sciences and the social - the humanities. The latter, in accordance with the principles of interdisciplinary paradigm, is very widely applied by the modern philosophy of historical knowledge, in particular in the analysis of the historical process and its main elements: the mentality, attitudes and norms of socially significant and personal behavior of individuals and societies of the past. The influence of research on various historical and historical anthropological problems such concepts implanted in the methodology of modern philosophy of history scientific disciplines as chaos theory, synergetics, mathematical biology, ethnology, social psychology, etc. Focuses on intellectual connections are used in the philosophy of history, historical knowledge interdisciplinary methodology, theory and concepts of natural science and social - humanities. They are used to analyze and understand the complex and multifaceted historical events and processes. Conclusions. The result of the analysis of the cognitive dynamics applications in the philosophy of history of conceptual approaches of a very wide range of scientific disciplines has been the allocation of a number of phases of the mining process. Each of them has special logic - methodological and socio cultural characteristics ("Data". Internal, cognitive science dynamics of this unity was not the

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    , Sichuan 614202, China; School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China; School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ...

  14. The Language of Mathematics in Science

    Science.gov (United States)

    Boohan, Richard

    2016-01-01

    "The Language of Mathematics in Science" is an ASE/Nuffield project aimed at supporting teachers of 11-16 science in the use of mathematical ideas in the science curriculum. Two publications have been produced. This article focuses on the first of these, "The Language of Mathematics in Science: A Guide for Teachers of 11-16…

  15. Responsibility and the physical body. Paul Ricoeur on analytical philosophy of language, cognitive science, and the task of phenomenological hermeneutics

    Czech Academy of Sciences Publication Activity Database

    Dierckxsens, Geoffrey

    2017-01-01

    Roč. 61, č. 3 (2017), s. 573-593 ISSN 0031-8256 Institutional support: RVO:67985955 Keywords : analytical philosophy * body * cognitive science * hermeneutics * phenomenology * philosophy of language * Ricoeur Subject RIV: AA - Philosophy ; Religion OBOR OECD: Philosophy, History and Philosophy of science and technology

  16. History, philosophy and science teaching new perspectives

    CERN Document Server

    2018-01-01

    This anthology opens new perspectives in the domain of history, philosophy, and science teaching research. Its four sections are: first, science, culture and education; second, the teaching and learning of science; third, curriculum development and justification; and fourth, indoctrination. The first group of essays deal with the neglected topic of science education and the Enlightenment tradition. These essays show that many core commitments of modern science education have their roots in this tradition, and consequently all can benefit from a more informed awareness of its strengths and weaknesses. Other essays address research on leaning and teaching from the perspectives of social epistemology and educational psychology. Included here is the first ever English translation of Ernst Mach’s most influential 1890 paper on ‘The Psychological and Logical Moment in Natural Science Teaching’. This paper launched the influential Machian tradition in education. Other essays address concrete cases of the ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. XIAOXIANG JIAO1 MINGYAN LI2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China; School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China ...

  18. Pragmatism, Activism, and the Icy Slopes of Logic in George Reisch's Portrait of the Philosophy of Science as a Young Field

    Science.gov (United States)

    Stump, David J.

    2009-01-01

    This paper considers several models of politically engaged philosophy with the aim of provoking discussion of George Reisch's "How the Cold War Transformed Philosophy of Science." At issue is the Unity of Science movement's conception of the philosophy of science in particular and what politically engaged philosophy of science might look…

  19. Science and Common Sense: Perspectives from Philosophy and Science Education

    DEFF Research Database (Denmark)

    Green, Sara

    2016-01-01

    that to clarify the relation between common sense and scientific reasoning, more attention to the cognitive aspects of learning and doing science is needed. As a step in this direction, I explore the potential for cross-fertilization between the discussions about conceptual change in science education...... knowledge, distinguished by an increase in systematicity. On the other, he argues that scientific knowledge often comes to deviate from common sense as science develops. Specifically, he argues that a departure from common sense is a price we may have to pay for increased systematicity. I argue...... and philosophy of science. Particularly, I examine debates on whether common sense intuitions facilitate or impede scientific reasoning. While arguing that these debates can balance some of the assumptions made by Hoyningen-Huene, I suggest that a more contextualized version of systematicity theory could...

  20. History, Philosophy, and Science in a Social Perspective: A Pedagogical Project

    Science.gov (United States)

    Guerra, Andreia; Braga, Marco; Reis, Jose Claudio

    2013-01-01

    Various studies have promoted instruction in the history and philosophy of science (HPS) in science classes, but the best way of putting this perspective into practice remains undetermined. To contribute to this issue, we developed a pedagogical project in some high schools in Brazil that aimed to present science content using an…

  1. Promotion of Cultural Content Knowledge through the Use of the History and Philosophy of Science

    Science.gov (United States)

    Galili, Igal

    2012-01-01

    Historical excurse was suggested as a beneficial form of using the history and philosophy of science in the modules of learning materials developed within the History and Philosophy in Science Teaching project. The paper briefly describes the theoretical framework of the produced modules, addressing ontological and epistemological aspects of…

  2. Mathematics in Aristotle

    CERN Document Server

    Heath, Thomas

    2015-01-01

    Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle's mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature (physics). Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address 'problems' that Aristotle posed but couldn't answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics.

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Arne Jensen1 2. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan; Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. E M El-Kholy1 El-Said R Lashin2 Salama N Daoud2. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt; Department of Mathematics, Faculty of Science, El-Minufiya University, Shebeen El-Kom, Egypt ...

  5. Mathematical Sciences in Australia

    Science.gov (United States)

    Thomas, Jan; Muchatuta, Michelle; Wood, Leigh

    2009-01-01

    This article investigates enrolment trends in mathematical sciences in Australian universities. Data has been difficult to extract and the coding for mathematical disciplines has made investigation challenging. We show that the number of mathematics major undergraduates in Australia is steadily declining though the number studying…

  6. Pragmatism, Activism, and the Icy Slopes of Logic in George Reisch's Portrait of the Philosophy of Science as a Young Field

    Science.gov (United States)

    Stump, David J.

    2009-02-01

    This paper considers several models of politically engaged philosophy with the aim of provoking discussion of George Reisch’s How the Cold War Transformed Philosophy of Science. At issue is the Unity of Science movement’s conception of the philosophy of science in particular and what politically engaged philosophy of science might look like in general. The paper discusses the role that the pragmatist Sidney Hook plays in the book and considers some of the questions raised by the role that he plays: What does it mean to be a politically engaged philosopher of science? Do we want philosophy of science to be politically engaged?

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Editorial Board. Proceedings – Mathematical Sciences. Chief Editor. B V Rajarama Bhat, Indian Statistical Institute, Bengaluru (bhat@isibang.ac.in). Associate Editor. Parameswaran Sankaran, The Institute of Mathematical Sciences, Chennai (sankaran@imsc.res.in). Advisory Board. M S Raghunathan, Indian Institute of ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. A GHAFFARI. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 4 September 2017 pp 689-705 Research Article. Involutions and trivolutions on second dual of algebras related to locally compact groups and topological semigroups.

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Shobha Madan. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 2 May 2003 pp 171-178. Wavelet Subspaces Invariant Under Groups of Translation Operators · Biswaranjan Behera Shobha Madan · More Details Abstract Fulltext PDF.

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. MOHAMED KHALIL ZGHAL. Articles written in Proceedings – Mathematical Sciences. Volume 128 Issue 1 March 2018 pp 13 Research Article. Sharp Adams-type inequality invoking Hardy inequalities · MOHAMED KHALIL ZGHAL · More Details Abstract Fulltext PDF.

  11. National Center for Mathematics and Science

    Science.gov (United States)

    NCISLA logo National Center for Improving Student Learning and Achievement in Mathematics and Wisconsin-Madison Powerful Practices in Mathematics & Sciences A multimedia product for educators . Scaling Up Innovative Practices in Mathematics and Science (Research Report). Thomas P. Carpenter, Maria

  12. [Philosophy of science for psychiatric practice].

    Science.gov (United States)

    Ralston, A S G

    2010-01-01

    The prevailing view is that psychiatry has its roots in two separate methodologies: the natural sciences and the social sciences. It is assumed that these are separate domains, each with its own way of knowing. Psychiatric and psychological theories are based mainly on one or other of these two types of science; this leads to a ongoing dualism in psychiatry, which some people regard as problematical. This article aims to make a methodological contribution to the scientific and philosophical foundations of psychiatry. This philosophical and theoretical dichotomy is criticized in this article in the light of recent developments in the philosophy of science, and two methods are introduced which offer an alternative analysis: values-based practice and actor-network theory. Brief examples are given which demonstrate that a combination of these two methods can be productive for psychiatry. Values-based practice and actor-network theory provide a way of resolving the stalemate in the conflict between the physical sciences and the sciences of the mind, a conflict that is dominated by professionals. In addition these two new methods empower the professionals by not deriving legitimacy from the false image of a dichotomous science, but from a normative sense of professionalism.

  13. Mechanistic modelling of cancer: some reflections from software engineering and philosophy of science.

    Science.gov (United States)

    Cañete-Valdeón, José M; Wieringa, Roel; Smallbone, Kieran

    2012-12-01

    There is a growing interest in mathematical mechanistic modelling as a promising strategy for understanding tumour progression. This approach is accompanied by a methodological change of making research, in which models help to actively generate hypotheses instead of waiting for general principles to become apparent once sufficient data are accumulated. This paper applies recent research from philosophy of science to uncover three important problems of mechanistic modelling which may compromise its mainstream application, namely: the dilemma of formal and informal descriptions, the need to express degrees of confidence and the need of an argumentation framework. We report experience and research on similar problems from software engineering and provide evidence that the solutions adopted there can be transferred to the biological domain. We hope this paper can provoke new opportunities for further and profitable interdisciplinary research in the field.

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Mathematics, Faculty of Sciences of Ain Chock, University of Hassan II, Casablanca, Morocco; Department of Mathematics, Keio University at Fujisawa, 5322 Endo, Kanagawa 252-8520, Japan; School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda-City 6691337, Japan ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 1. Projections of Veronese surface and morphisms from projective plane to Grassmannian ... M2, Universite Lille 1, F-59655 Villeneuve d'Ascq Cedex, France; Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Basudeb Datta. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 2 May 2002 pp 257-281. Two-Dimensional Weak Pseudomanifolds on Eight Vertices · Basudeb Datta Nandini Nilakantan · More Details Abstract Fulltext PDF. We explicitly ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2 ... Quantum random walk; quantum Lévy process; discrete approximation. ... route de Gray, 25 030 Besançon cedex, France; Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan; Department of Mathematics, ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 3 ... TIFR Centre for Applicable Mathematics, P.O. Box 6503, Sharadanagar, GKVK Post, Bangalore 560 065, India; Indian Institute of Science Education and Research, C/o Sree Rama Engineering College (Transit Campus), Rami Reddy Nagar, ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Forthcoming articles. Forthcoming articles. Proceedings – Mathematical Sciences. PMSC-D-14-00136. Combinatorics of tenth order mock theta functions. J K SAREEN M RANA. Abstract. In this paper we are providing the combinatorial interpretations of two tenth ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. SENJO SHIMIZU. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 5 November 2017 pp 815-831 Special Issue. Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case · JAN PRÜSS SENJO ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. MIHAJA RAKOTOMALALA. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 3 June 2017 pp 411-421 Research Article. On a problem of Pillai with Fibonacci numbers and powers of 2 · MAHADI DDAMULIRA FLORIAN LUCA MIHAJA ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. CHANCHAL KUMAR. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 2 April 2010 pp 163-168. Deficiently Extremal Cohen-Macaulay Algebras · Chanchal Kumar Pavinder Singh · More Details Abstract Fulltext PDF. The aim of this paper is ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 3. Time-Periodic Solution of a 2D ... Xiaopeng Zhao1 Changchun Liu2. School of Science, Jiangnan University, Wuxi 214122, People's Republic of China; Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Satyendra Tomar. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 4 November 2002 pp 601-639. Stability Estimates for ℎ- Spectral Element Methods for Elliptic Problems · Pravir Dutt Satyendra Tomar B V Rathish Kumar · More Details ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Ali Reza Ashrafi1 Geetha Venkataraman1 2. Department of Mathematics, University of Kashan, Kashan, Iran; Department of Mathematics and Mathematical Sciences Foundation, St. Stephen's College, Delhi 110 007, India ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 112; Issue 2. Sums of Two Polynomials with Each having Real Zeros Symmetric with the Other. Seon-Hong Kim. Volume 112 Issue 2 ... Author Affiliations. Seon-Hong Kim1. School of Mathematical Sciences, Seoul National University, Seoul 151-742, Korea ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Rémi Léandre. Articles written in Proceedings – Mathematical Sciences. Volume 116 Issue 4 November 2006 pp 507-518 Non-commutative Probability Theory. Malliavin Calculus of Bismut Type without Probability · Rémi Léandre · More Details Abstract Fulltext PDF.

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. MEGHA GOYAL. Articles written in Proceedings – Mathematical Sciences. Volume 128 Issue 1 March 2018 pp 2 Research Article. On 3-way combinatorial identities · A K AGARWAL MEGHA GOYAL · More Details Abstract Fulltext PDF. In this paper, we provide ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Pravir Dutt. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 4 November 2002 pp 601-639. Stability Estimates for ℎ- Spectral Element Methods for Elliptic Problems · Pravir Dutt Satyendra Tomar B V Rathish Kumar · More Details Abstract ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. B V Rao. Articles written in Proceedings – Mathematical Sciences. Volume 116 Issue 1 February 2006 pp 83-96. On Characterisation of Markov Processes Via Martingale Problems · Abhay G Bhatt Rajeeva L Karandikar B V Rao · More Details Abstract Fulltext PDF.

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Suprio Bhar. Articles written in Proceedings – Mathematical Sciences. Volume 125 Issue 1 February 2015 pp 113-125. Differential operators on Hermite Sobolev spaces · Suprio Bhar B Rajeev · More Details Abstract Fulltext PDF. In this paper, we compute the Hilbert ...

  12. Science and mathematics teachers of the future

    DEFF Research Database (Denmark)

    Michelsen, Claus; Nielsen, Jan Alexis; Petersen, Morten Rask

    2008-01-01

    This paper presents the project Science and Mathematics Teachers of the Future. The aim of the project is to develop and implement a graduate level equivalent degree program in mathematics and science instruction for in-service teachers of lower secondary education. This aim is achieved...... in the programme through involving the teachers in design, implementation and evaluation of innovative instructional sequences, which deals with a wide range of aspects of mathematics and science, e.g. modern science and the importance of science in society. In the program contemporary science and mathematics...... education research serves as a basis for the design and development of warranted practices with which the teachers may experiment in their classroom. We will focus on the outcomes of offering a program which is intimately tied to (i) contemporary science and mathematics education research, (ii) modern...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. INDRANIL BISWAS. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 3 August 2001 pp 263-269. Stability of Picard Bundle Over Moduli Space of Stable Vector Bundles of Rank Two Over a Curve · Indranil Biswas Tomás L Gómez.

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. OLIVIA X M YAO. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 3 June 2017 pp 393-410 Research Article. New modular relations involving cubes of the Göllnitz–Gordon functions · OLIVIA X M YAO · More Details Abstract Fulltext PDF.

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. K R Parthasarathy. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 1 February 2003 pp 3-13. A Remark on the Unitary Group of a Tensor Product of Finite-Dimensional Hilbert Spaces · K R Parthasarathy · More Details Abstract Fulltext ...

  16. Teaching the History and Philosophy of Science in Secondary Schools.

    Science.gov (United States)

    Frazier, Kenneth L.

    1980-01-01

    Lists educational objectives, course syllabus, audiovisual materials, and bibliography for a secondary school course on the history and philosophy of science. The class consists of discussions, lectures, use of film and filmstrips, and student research papers. (KC)

  17. PHILOSOPHY OF SCIENCE AND TECHNOLOGY: IT'S IMPACT ON RECENT DEVELOPMENT

    OpenAIRE

    Dr. P.K. Rejimon*

    2017-01-01

    In the contemporary society, science and technology are very much dominating in all part of the world, because the world is running with faster than ever before. The social and cultural values are shifting towards techno innovative. The philosophy will play a greater extent to understating the basic ethical and moral issues and crisis in science and technology of the global society. The science and technology as socially embedded enterprises, which change the intellectual paradigms. Philosoph...

  18. Fall and Rise of Aristotelian Metaphysics in the Philosophy of Science

    Science.gov (United States)

    Lamont, John

    2009-01-01

    The paper examines the fortunes of Aristotelian metaphysics in science and the philosophy of science. It considers the Enlightenment claim that such a metaphysics is fundamentally unscientific, and that its abandonment was essential to the scientific revolution. The history of the scientific revolution and the metaphysical debates involved in it…

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Proceedings – Mathematical Sciences. Volumes & Issues. Volume 128. Issue 1. Mar 2018; Issue 2. Apr 2018. Volume 127. Issue 1. Feb 2017; Issue 2. Apr 2017; Issue 3. Jun 2017; Issue 4. Sep 2017; Issue 5. Nov 2017. Volume 126. Issue 1. Feb 2016; Issue 2

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Hongliang Yao. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 2 April 2010 pp 199-207. A T -Algebras and Extensions of A T -Algebras · Hongliang Yao · More Details Abstract Fulltext PDF. Lin and Su classified A T -algebras of real rank ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Vijay Kodiyalam. Articles written in Proceedings – Mathematical Sciences. Volume 110 Issue 3 August 2000 pp 263-292. The Algebra of -relations · Vijay Kodiyalam R Srinivasan V S Sunder · More Details Abstract Fulltext PDF. In this paper, we study a tower { A n G ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Bülent Nafi Örnek. Articles written in Proceedings – Mathematical Sciences. Volume 126 Issue 1 February 2016 pp 69-78. Sharpened forms of the generalized Schwarz inequality on the boundary · Tuğba Akyel Bülent Nafi Örnek · More Details Abstract Fulltext PDF.

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. K B Sinha. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 2 May 2001 pp 179-201. Spectra of Anderson Type Models with Decaying Randomness · M Krishna K B Sinha · More Details Abstract Fulltext PDF. In this paper we consider some ...

  4. Physics Teachers' Challenges in Using History and Philosophy of Science in Teaching

    Science.gov (United States)

    Henke, Andreas; Höttecke, Dietmar

    2015-01-01

    The inclusion of the history and philosophy of science (HPS) in science teaching is widely accepted, but the actual state of implementation in schools is still poor. This article investigates possible reasons for this discrepancy. The demands science teachers associate with HPS-based teaching play an important role, since these determine teachers'…

  5. Explaining how the mind works: on the relation between cognitive science and philosophy.

    Science.gov (United States)

    Trigg, Jonathan; Kalish, Michael

    2011-04-01

    In this paper, we argue that under certain prevalent interpretations of the nature and aims of cognitive science, theories of cognition generate a forced choice between a conception of cognition which depends on the possibility of a private language, and a conception of cognition which depends on mereological confusions. We argue, further, that this should not pose a fundamental problem for cognitive scientists since a plausible interpretation of the nature and aims of cognitive science is available that does not generate this forced choice. The crucial difference between these interpretations is that on the one hand the aim of theories of cognition is to tell us what thinking (etc.) is, and on the other it is to tell us what is causally necessary if an intelligent creature is to be able to think. Our argument draws heavily on a Wittgensteinian conception of philosophy in which no philosophical theory can explain what thinking, perceiving, remembering, etc. are, either. The positive, strictly therapeutic, purpose of a philosophy of cognitive science should be to show that, since the traditional problems which constitute the philosophy of mind are chimerical, there is nothing for philosophical theorizing in cognitive science to achieve. Copyright © 2011 Cognitive Science Society, Inc.

  6. Mathematics education a spectrum of work in mathematical sciences departments

    CERN Document Server

    Hsu, Pao-sheng; Pollatsek, Harriet

    2016-01-01

    Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. José M Sigarreta. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 5 November 2010 pp 593-609. Gromov Hyperbolicity in Cartesian Product Graphs · Junior Michel José M Rodríguez José M Sigarreta María Villeta · More Details Abstract ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. A R Aithal. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 1 February 2005 pp 93-102. On Two Functionals Connected to the Laplacian in a Class of Doubly Connected Domains in Space-Forms · M H C Anisa A R Aithal · More Details ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Q X Yang. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 2 May 2005 pp 191-200. L p -Continuity for Calderón–Zygmund Operator · Q X Yang · More Details Abstract Fulltext PDF. Given a Calderón–Zygmund (- for short) operator , ...

  10. The matrix reformed : science fiction, technology, and Christian philosophy

    NARCIS (Netherlands)

    Cusveller, B.; Verkerk, M.J.; Vries, de M.J.

    2011-01-01

    The Matrix Reformed provides an analysis of both science fiction and the contemporary adoration of technology from a Christian point-of-view, weaving a discussion of issues in religion, philosophy, and ethics in major sci-fi works (e.g., The Matrix, Star Wars, and Star Trek) with the insights and

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Antonio J Calderón Martín. Articles written in Proceedings – Mathematical Sciences. Volume 118 Issue 3 August 2008 pp 351-356. On Split Lie Algebras with Symmetric Root Systems · Antonio J Calderón Martín · More Details Abstract Fulltext PDF. We develop ...

  12. Eric Davidson, his philosophy, and the history of science.

    Science.gov (United States)

    Deichmann, Ute

    2017-10-16

    Eric Davidson, a passionate molecular developmental biologist and intellectual, believed that conceptual advances in the sciences should be based on knowledge of conceptual history. Convinced of the superiority of a causal-analytical approach over other methods, he succeeded in successfully applying this approach to the complex feature of organismal development by introducing the far-reaching concept of developmental Gene Regulatory Networks. This essay reviews Davidson's philosophy, his support for the history of science, and some aspects of his scientific personality.

  13. Poincaré, philosopher of science problems and perspectives

    CERN Document Server

    DiSalle, Robert

    2014-01-01

    This volume presents a selection of papers from the Poincaré Project of the Center for the Philosophy of Science, University of Lisbon, bringing together an international group of scholars with new assessments of Henri Poincaré's philosophy of science—both its historical impact on the foundations of science and mathematics, and its relevance to contemporary philosophical inquiry. The work of Poincaré (1854-1912) extends over many fields within mathematics and mathematical physics. But his scientific work was inseparable from his groundbreaking philosophical reflections, and the scientific ferment in which he participated was inseparable from the philosophical controversies in which he played a pre-eminent part. The subsequent history of the mathematical sciences was profoundly influenced by Poincaré’s philosophical analyses of the relations between and among mathematics, logic, and physics, and, more generally, the relations between formal structures and the world of experience. The papers in this col...

  14. Investigating Gender Differences in Mathematics and Science: Results from the 2011 Trends in Mathematics and Science Survey

    Science.gov (United States)

    Reilly, David; Neumann, David L.; Andrews, Glenda

    2017-06-01

    The underrepresentation of women in science, technology, engineering, and mathematics (STEM)-related fields remains a concern for educators and the scientific community. Gender differences in mathematics and science achievement play a role, in conjunction with attitudes and self-efficacy beliefs. We report results from the 2011 Trends in Mathematics and Science Study (TIMSS), a large international assessment of eighth grade students' achievement, attitudes, and beliefs among 45 participating nations (N = 261,738). Small- to medium-sized gender differences were found for most individual nations (from d = -.60 to +.31 in mathematics achievement, and d = -.60 to +.26 for science achievement), although the direction varied and there were no global gender differences overall. Such a pattern cross-culturally is incompatible with the notion of immutable gender differences. Additionally, there were different patterns between OECD and non-OECD nations, with girls scoring higher than boys in mathematics and science achievement across non-OECD nations. An association was found between gender differences in science achievement and national levels of gender equality, providing support for the gender segregation hypothesis. Furthermore, the performance of boys was more variable than that of girls in most nations, consistent with the greater male variability hypothesis. Boys reported more favorable attitudes towards mathematics and science, and girls reported lower self-efficacy beliefs. While the gender gap in STEM achievement may be closing, there are still large sections of the world where differences remain.

  15. Redpath on the Nature of Philosophy

    Directory of Open Access Journals (Sweden)

    Robert A. Delfino

    2016-03-01

    Full Text Available In this article the author discusses Peter A. Redpath’s understanding of the nature of philosophy and his account of how erroneous understandings of philosophy have led to the decline of the West and to the separation of philosophy from modern science and modern science from wisdom. Following Aristotle and St. Thomas Aquinas, Redpath argues that philosophy is a sense realism because it begins in wonder about real things known through the senses. Philosophy presupposes pre-philosophical knowledge, common sense, which consists of principles rooted in sensation that make human experience, sense wonder, and philosophy possible. Philosophy is certain knowledge demonstrated through causes and thus philosophy is the same as science. Redpath understands science as a habit that we acquire through repeated practice. More precisely, a scientific habit is a simple quality of the intellect that enables us to demonstrate (prove the necessary properties of a genus through their causes or principles. In this way, science is the study of the one and the many. Redpath argues that metaphysics is the final cause of the arts and sciences, providing the foundation for all of the arts and sciences and justifying their principles. Finally, he argues that with modernity’s loss of belief in God and its rejection of metaphysics as a science, utopian socialism has become an historical/political substitute for metaphysics.

  16. Laudan's normative naturalism: a useful philosophy of science for psychology.

    Science.gov (United States)

    Capaldi, E J; Proctor, R W

    2000-01-01

    Logical positivism, widely regarded as the received epistemology of psychology in the first half of the 20th century, was supplanted in the 1960s by various postpositivistic, relativistic philosophies of science, most notably that of Kuhn. Recently, Laudan, a major figure in the philosophy of science, developed a novel approach called normative naturalism that provides an alternative to positivism and relativism. His central thesis is that the two are not always on opposite ends of a continuum but rather have many assumptions in common. This article brings Laudan's important views to the attention of psychologists and describes some of the unique implications of these views for the conduct of research and theory in psychology. These implications, which follow from a number of closely reasoned pragmatic arguments, include more realistic and appropriate evaluation of theory and methodology than has been suggested by logical positivism or relativism.

  17. The Science of Sex Differences in Science and Mathematics

    Science.gov (United States)

    Halpern, Diane F.; Benbow, Camilla P.; Geary, David C.; Gur, Ruben C.; Hyde, Janet Shibley; Gernsbacher, Morton Ann

    2014-01-01

    Summary Amid ongoing public speculation about the reasons for sex differences in careers in science and mathematics, we present a consensus statement that is based on the best available scientific evidence. Sex differences in science and math achievement and ability are smaller for the mid-range of the abilities distribution than they are for those with the highest levels of achievement and ability. Males are more variable on most measures of quantitative and visuospatial ability, which necessarily results in more males at both high- and low-ability extremes; the reasons why males are often more variable remain elusive. Successful careers in math and science require many types of cognitive abilities. Females tend to excel in verbal abilities, with large differences between females and males found when assessments include writing samples. High-level achievement in science and math requires the ability to communicate effectively and comprehend abstract ideas, so the female advantage in writing should be helpful in all academic domains. Males outperform females on most measures of visuospatial abilities, which have been implicated as contributing to sex differences on standardized exams in mathematics and science. An evolutionary account of sex differences in mathematics and science supports the conclusion that, although sex differences in math and science performance have not directly evolved, they could be indirectly related to differences in interests and specific brain and cognitive systems. We review the brain basis for sex differences in science and mathematics, describe consistent effects, and identify numerous possible correlates. Experience alters brain structures and functioning, so causal statements about brain differences and success in math and science are circular. A wide range of sociocultural forces contribute to sex differences in mathematics and science achievement and ability—including the effects of family, neighborhood, peer, and school

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Ravi P Agarwal1 Jong Kyu Kim2 Donal O' Regan3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975, USA; Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea; Department of Mathematics, National University of Ireland, Galway, Ireland ...

  19. A Mathematics and Science Trail

    Science.gov (United States)

    Smith, Kathy Horak; Fuentes, Sarah Quebec

    2012-01-01

    In an attempt to engage primary-school students in a hands-on, real-world problem-solving context, a large urban district, a mathematics and science institute housed in a college of education, and a corporate sponsor in the southwest United States, joined forces to create a mathematics and science trail for fourth- and fifth-grade students. A…

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Yingqing Xiao1 Weiyuan Qiu2. College of Mathematics and Economics, Hunan University, Changsha 410082, China; School of Mathematical Sciences, Fudan University, Shanghai 200433, China ...

  1. Mathematics and Computer Science: The Interplay

    OpenAIRE

    Madhavan, Veni CE

    2005-01-01

    Mathematics has been an important intellectual preoccupation of man for a long time. Computer science as a formal discipline is about seven decades young. However, one thing in common between all users and producers of mathematical thought is the almost involuntary use of computing. In this article, we bring to fore the many close connections and parallels between the two sciences of mathematics and computing. We show that, unlike in the other branches of human inquiry where mathematics is me...

  2. National Center for Mathematics and Science - teacher resources

    Science.gov (United States)

    Mathematics and Science (NCISLA) HOME | PROGRAM OVERVIEW | RESEARCH AND PROFESSIONAL DEVELOPMENT support and improve student understanding of mathematics and science. The instructional resources listed Resources (CD)Powerful Practices in Mathematics and Science A multimedia product for educators, professional

  3. History and Philosophy of Science through Models: The Case of Chemical Kinetics.

    Science.gov (United States)

    Justi, Rosaria; Gilbert, John K.

    1999-01-01

    A greater role for the history and philosophy of science in science education can only be realized if it is based on both a credible analytical approach--such as that of Lakatos--and if the evolution of a sufficient number of major themes in science is known in suitable detail. Considers chemical kinetics as an example topic. Contains 62…

  4. Integrating Mathematics and Science: Ecology and Venn Diagrams

    Science.gov (United States)

    Leszczynski, Eliza; Munakata, Mika; Evans, Jessica M.; Pizzigoni, Francesca

    2014-01-01

    Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…

  5. Mathematical paradigms of climate science

    CERN Document Server

    Cannarsa, Piermarco; Jones, Christopher; Portaluri, Alessandro

    2016-01-01

    This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation te...

  6. Physics Needs Philosophy. Philosophy Needs Physics

    Science.gov (United States)

    Rovelli, Carlo

    2018-05-01

    Contrary to claims about the irrelevance of philosophy for science, I argue that philosophy has had, and still has, far more influence on physics than is commonly assumed. I maintain that the current anti-philosophical ideology has had damaging effects on the fertility of science. I also suggest that recent important empirical results, such as the detection of the Higgs particle and gravitational waves, and the failure to detect supersymmetry where many expected to find it, question the validity of certain philosophical assumptions common among theoretical physicists, inviting us to engage in a clearer philosophical reflection on scientific method.

  7. Mathematics Curriculum, the Philosophy of Mathematics and its ...

    African Journals Online (AJOL)

    It is my observation that the current school mathematics curriculum in Ethiopia is not producing competent mathematics students. Many mathematicians in Ethiopia and other part of the world have often expressed grief that the majority of students do not understand mathematical concepts, or do not see why mathematical ...

  8. Temporalité, temporalités : philosophie et sciences sociales Temporality, temporalities: Philosophy and the Social sciences

    Directory of Open Access Journals (Sweden)

    Claude Dubar

    2009-07-01

    Full Text Available Le passage de la philosophie du temps aux approches scientifiques des temporalités a résulté de l’épuisement des apories du temps qui, d’Aristote et Saint Augustin à Kant et Husserl, ont jalonné les efforts de philosophes pour produire in abstracto une théorie unifiée du temps. Le constat par Heidegger d’une irréductible pluralité des modes de temporalisation a mis fin à cette aporétique de la temporalité et permis le déploiement d’approches plurielles des temporalités par les sciences socio-historiques. Depuis la thèse de la pluralité des régimes d’historicité par les historiens jusqu’à l’analyse des temporalités sociales par les sociologues, toutes les sciences sociales ont multiplié les distinctions internes au temps et les typologies de temporalités pertinentes. Cela n’exclut pas les réflexions citoyennes sur l’émergence d’un temps démocratique et universel réconciliant le temps paramètre englobant et le temps compagnon vécu.The passage from the philosophy of time to the scientific approach to temporality is the result of the double bind in which, from Aristotle to Saint Augustine, Kant and Husserl, has marked the efforts of philosophers trying to produce in abstracto a unified theory of time. Heidegger’s conclusion concerning the irreducible plurality of the modes of temporality put an end to that uncertainty and allowed many various approaches to temporality to blossom in the socio-historical sciences. From the historians’ theory of the plurality of historical regimes to the sociologists’ analysis of social temporalities, several pertinent distinctions internal to time and typologies of temporalities have been forthcoming. That does not preclude citizens from rethinking the emergence of a democratic and universal time that would reconcile Time as the all-encompassing parameter with Time as the lifetime companion.

  9. Applied Computational Mathematics in Social Sciences

    CERN Document Server

    Damaceanu, Romulus-Catalin

    2010-01-01

    Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.

  10. Assessing mathematics within advanced school science qualifications

    OpenAIRE

    McAlinden, Mary; Noyes, Andrew

    2017-01-01

    Following sustained discussion regarding the relationship between advanced mathematics and science learning in England, the government has pursued a reform agenda in which mathematics is embedded in national, high stakes A-level science qualifications and their assessments for 18-year-olds. For example, A-level Chemistry must incorporate the assessment of relevant mathematics for at least 20% of the qualification. Other sciences have different mandated percentages. This embedding policy is ru...

  11. Interest in mathematics and science among students having high mathematics aptitude

    Science.gov (United States)

    Ely, Jane Alice

    The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.

  12. Discovering reality: feminist perspectives on epistemology, metaphysics, methodology, and philosophy of science

    National Research Council Canada - National Science Library

    Harding, Sandra G; Hintikka, Merrill B

    1983-01-01

    ... FOX KELLER / Gender and Science EVELYN FOX KELLER AND CHRISTINE R. GRONTKOWSKI / The Mind's Eye NAOMI SCHEMAN / Individualism and the Objects of Psychology JANE FLAX / Political Philosophy and the Pa...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 4 ... by application to a number of examples arising in physics and probability. ... Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, ...

  14. Introductory Comments on Philosophy and Constructivism in Science Education

    Science.gov (United States)

    Matthews, Michael R.

    This article indicates something of the enormous influence of constructivism on contemporary science education. The article distinguishes educational constructivism (that has its origins in theories of children's learning), from constructivism in the philosophy of science (usually associated with instrumentalist views of scientific theory), and from constructivism in the sociology of science (of which the Edinburgh Strong Programme in the sociology of scientific knowledge is the best known example). It notes the expansion of educational constructivism from initial considerations of how children come to learn, to views about epistemology, educational theory, ethics, and the cognitive claims of science. From the learning-theory beginnings of constructivism, and at each stage of its growth, philosophical questions arise that deserve the attention of educators. Among other things, the article identifies some theoretical problems concerning constructivist teaching of the content of science.

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Wenhua Gao1 Lin Tang2. School of Applied Mathematics, Beijing Normal University Zhuhai, Zhuhai 519085, People's Republic of China; LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China ...

  16. African Journal of Educational Studies in Mathematics and Sciences

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences. ... Studies in Mathematics and Sciences (AJESMS) is an international publication that ... in the fields of mathematics education, science education and related disciplines.

  17. University Science and Mathematics Education in Transition

    DEFF Research Database (Denmark)

    Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

    configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Dong Jun Jee1 Tuo Yeong Lee1 Nathaniel Zhi-Wei Leon1. Department of Mathematics, Statistics and Computing, NUS High School of Mathematics and Science, 20 Clementi Avenue 1, Singapore 129957, Republic of Singapore ...

  19. Science and Politics in the Philosophy of Science of Popper, Polanyi, and Kuhn

    Science.gov (United States)

    Nye, Mary Jo

    2006-05-01

    The names of Karl Popper, Michael Polanyi, and Thomas Kuhn are well-known among scientists and among historians and philosophers of science. Around 1960 they published books that excited considerable discussion because of their independent rejection of the philosophical tradition that uses simple empiricism or positivism to differentiate science from religion, metaphysics, ideology, or pseudo-science. Popper's original field of expertise was scientific education and psychology. Polanyi had a distinguished career in physical chemistry and chemical physics, while Kuhn worked briefly in solid-state physics before turning to the philosophy of science. Their descriptions of scientific practices and values have roots not only in their scientific educations and experiences, but also in the political questions of their time. This paper focuses on political dimensions in the philosophical work of these three twentieth-century figures.

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Chengyuan Qu1 Yang Cao2. School of Science, Dalian Nationalities University, Dalian 116600, China; School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 2. The Weierstrass–Enneper Representation using Hodographic Coordinates on a Minimal Surface. Rukmini Dey. Volume ... Author Affiliations. Rukmini Dey1. School of Mathematics, Harish-Chandra Research Institute, Allahabad 211 019, India ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Boundedness of Composition of Operators Associated with Different Homogeneities on Weighted Besov and ... Author Affiliations. Xinfeng Wu1. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China ...

  3. Well-Being, Science, and Philosophy

    DEFF Research Database (Denmark)

    Rodogno, Raffaele

    2014-01-01

    Academic research on well-being is pursued in multiple disciplines and currently exploding. Governments are also interested in the topic, as witnessed by their recent efforts to develop statistical measures of progress that include well-being indicators. Combined, this interest opens the door...... to the fruitful application of well-being research to society. Research on well-being, however, is not always well integrated across the disciplines that purport to study it. In particular, there is insufficient communication between the empirical study of well-being, and its normative/conceptual study as pursued...... in philosophy. This state of affairs is lamentable, as it robs science and public policy of the expertise of philosophers, a desirable tool when evaluating empirical claims about well-being promotion. In this article, I examine the reasons for this lack of communication. In particular, I reject the view...

  4. Humanizing mathematics and its philosophy essays celebrating the 90th birthday of Reuben Hersh

    CERN Document Server

    2017-01-01

    This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “w...

  5. The Philosophy of Science of Ferdinand Braun

    Directory of Open Access Journals (Sweden)

    Pechenkin, Alexander

    2013-03-01

    Full Text Available The Nobel Prize winner Karl Ferdinand Braun has not left anyconsiderable writings on the philosophy of science. Nevertheless, hisphilosophical excursions help us to understand his creative work in physics and the philosophical positions of his disciples. Braun emphasized the fundamental position of the so-called “integral laws” to which the law of conservation of energy belongs. He was a consecutive empiricist and emphasized the relativity of physical schemes and models with respect to experimental devices. I n the style of some German physicists he proclaimed the oscillatory unification of the theory of electricity and optics.

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 2. Principal Bundles whose Restrictions to a Curve are Isomorphic. Sudarshan ... Author Affiliations. Sudarshan Rajendra Gurjar1. School of Mathematics, Tata Institute of Fundamental Research, Dr Homi Bhabha Road, Mumbai 400 005, India ...

  7. Unity and disunity and other mathematical essays

    CERN Document Server

    Davis, Philip J

    2015-01-01

    This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, toward

  8. Report on a Boston University Conference December 7-8, 2012 on "How Can the History and Philosophy of Science Contribute to Contemporary US Science Teaching?"

    Science.gov (United States)

    Garik, Peter; Benétreau-Dupin, Yann

    2014-01-01

    This is an editorial report on the outcomes of an international conference sponsored by a grant from the National Science Foundation (NSF) (REESE-1205273) to the School of Education at Boston University and the Center for Philosophy and History of Science at Boston University for a conference titled: "How Can the History and Philosophy of…

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 3. Volume 115, Issue 3. August 2005, pages 241-369. pp 241-249. Some Properties of ... with some properties which are mathematically and statistically interesting. pp 251-257. Homeomorphisms and the Homology of Non-Orientable Surfaces.

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Dumitru Popa1. Department of Mathematics, University of Constanta, Bd. Mamaia 124, 8700 Constanta, Romania. Dates. Manuscript received: 21 January 2008; Manuscript revised: 20 June 2008. Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1 · Current Issue Volume 128 | Issue 1

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Radu Ioan Boţ1 Anca Dumitru2 Gert Wanka1. Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany; Faculty of Mathematics and Computer Science, Babes¸-Bolyai University, Str. Kog˜alniceanu nr. 1, 400084 Cluj-Napoca, Romania ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 125; Issue 4. Yoneda algebras of almost Koszul algebras. Zheng Lijing. Volume 125 Issue 4 November 2015 ... Author Affiliations. Zheng Lijing1. School of Mathematics and Physics, University of South China, Hengyang, Hunan, People's Republic of China ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. A Note on Conjugacy Classes of Finite Groups. Hemant Kalra Deepak Gumber. Volume 124 ... Author Affiliations. Hemant Kalra1 Deepak Gumber1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 111; Issue 1. Limits of Commutative Triangular Systems on Locally Compact Groups. Riddhi Shah. Volume 111 ... Author Affiliations. Riddhi Shah1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Jung Rye Lee1 Choonkil Park2 Dong Yun Shin3. Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea; Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea; Department of Mathematics, University of Seoul, Seoul 130-743, Korea ...

  16. Representing and intervening introductory topics in the philosophy of natural science

    CERN Document Server

    Hacking, Ian

    1983-01-01

    This 1983 book is a lively and clearly written introduction to the philosophy of natural science, organized around the central theme of scientific realism. It has two parts. 'Representing' deals with the different philosophical accounts of scientific objectivity and the reality of scientific entities. The views of Kuhn, Feyerabend, Lakatos, Putnam, van Fraassen, and others, are all considered. 'Intervening' presents the first sustained treatment of experimental science for many years and uses it to give a new direction to debates about realism. Hacking illustrates how experimentation often has a life independent of theory. He argues that although the philosophical problems of scientific realism can not be resolved when put in terms of theory alone, a sound philosophy of experiment provides compelling grounds for a realistic attitude. A great many scientific examples are described in both parts of the book, which also includes lucid expositions of recent high energy physics and a remarkable chapter on the micr...

  17. Thomas Kuhn's revolutions a historical and an evolutionary philosophy of science?

    CERN Document Server

    Marcum, James A

    2015-01-01

    This new edition of Thomas Kuhn's Revolution marks the 50th anniversary of the publication of Kuhn's most influential work. Drawing on the rich archival sources at MIT, and engaging fully with current scholarship, James Marcum provides the historical background to the development of The Structure of Scientific Revolutions. Exploring the shift Kuhn makes from a historical to an evolutionary philosophy of science and examining Kuhn's legacy in depth, Marcum answers key questions: What exactly was Kuhn's historiographic revolution and how did it come about? Why did it have the impact it did? What will its future impact be for both academia and society? Marcum's answers build a new portrait of Kuhn: his personality, his pedagogical style and the intellectual and social context in which he practiced his trade. Thomas Kuhn's Revolution shows how Kuhn transcends the boundaries of the philosophy of science, influencing sociologists, economists, theologians and even policy makers and politicians. This is a comprehensi...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 111; Issue 3. On Totally Reducible Binary Forms: I ... Author Affiliations. C Hooley1. School of Mathematics, Cardiff University, Senghennydd Road, PO Box 926, Cardiff CF24 4YH, UK ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 3. The Atiyah Bundle and Connections on a Principal Bundle. Indranil Biswas. Volume 120 Issue 3 ... Author Affiliations. Indranil Biswas1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 4. Large Time Behaviour of Solutions of a System of Generalized Burgers Equation. K T Joseph ... Author Affiliations. K T Joseph1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 114; Issue 1. Representability of Hom Implies Flatness. Nitin Nitsure. Volume 114 Issue 1 February 2004 pp 7-14 .... Author Affiliations. Nitin Nitsure1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 1. One-Parameter Family of Solitons from Minimal Surfaces. Rukmini Dey Pradip Kumar. Volume 123 Issue 1 ... Author Affiliations. Rukmini Dey1 Pradip Kumar1. School of Mathematics, Harish Chandra Research Institute, Allahabad 211 019, India ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2. Some Remarks on the Local Fundamental Group Scheme. V B Mehta S ... Author Affiliations. V B Mehta1 S Subramanian1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 2. Nonfiniteness of Hilbert–Kunz functions. V TRIVEDI. Research Article Volume 127 Issue 2 April 2017 ... Author Affiliations. V TRIVEDI1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  5. Philosophy of Systems and Synthetic Biology

    DEFF Research Database (Denmark)

    Green, Sara

    2017-01-01

    This entry aims to clarify how systems and synthetic biology contribute to and extend discussions within philosophy of science. Unlike fields such as developmental biology or molecular biology, systems and synthetic biology are not easily demarcated by a focus on a specific subject area or level...... of organization. Rather, they are characterized by the development and application of mathematical, computational, and synthetic modeling strategies in response to complex problems and challenges within the life sciences. Proponents of systems and synthetic biology often stress the necessity of a perspective...... that goes beyond the scope of molecular biology and genetic engineering, respectively. With the emphasis on systems and interaction networks, the approaches explicitly engage in one of the oldest philosophical discussions on the relationship between parts and wholes, or between reductionism and holism...

  6. Studies in mathematics and mechanics

    CERN Document Server

    von Mises, Richard

    2013-01-01

    Studies in Mathematics and Mechanics is a collection of studies presented to Professor Richard von Mises as a token of reverence and appreciation on the occasion of his seventieth birthday which occurred on April 19, 1953. von Mises' thought has been a stimulus in many seemingly unconnected fields of mathematics, science, and philosophy, to which he has contributed decisive results and new formulations of fundamental concepts. The book contains 42 chapters organized into five parts. Part I contains papers on algebra, number theory and geometry. These include a study of Poincaré's representatio

  7. Platonism, Naturalism, and Mathematical Knowledge

    CERN Document Server

    Brown, James Robert

    2011-01-01

    This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Natural

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Jizheng Huang1 Yu Liu2. College of Sciences, North China University of Technology, Beijing 100144, People's Republic of China; School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Arne Jensen1 Gheorghe Nenciu2 3. Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark; Department of Theoretical Physics, University of Bucharest, P. O. Box MG11, 76900 Bucharest, Romania; Institute of Mathematics “Simion Stoilow” of the Romanian Academy, ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 1. On some Frobenius Restriction Theorems for Semistable Sheaves. V B Mehta V Trivedi ... Author Affiliations. V B Mehta1 V Trivedi1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 2. Sign (di)Lemma for Dimension Shifting. Nitin Nitsure. Volume 119 Issue 2 April 2009 pp 179-186 ... Author Affiliations. Nitin Nitsure1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 2. On Cohomology Theory for Topological Groups. Arati S Khedekar C S Rajan ... Author Affiliations. Arati S Khedekar1 C S Rajan1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 4. On the Orders of Finite Semisimple Groups. Shripad M Garge. Volume 115 Issue 4 November 2005 pp 411- .... Author Affiliations. Shripad M Garge1. School of Mathematics, Tata Institute of Fundamental Research, Colaba, Mumbai 400 005, India ...

  14. A new direction in mathematics for materials science

    CERN Document Server

    Ikeda, Susumu

    2015-01-01

    This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for ...

  15. The Essential Connection between Modern Science and Utopian Socialism

    Directory of Open Access Journals (Sweden)

    Peter A. Redpath

    2014-06-01

    Full Text Available The chief aim of this paper is to demonstrate beyond reasonable doubt how, through an essential misunderstanding of the nature of philosophy, and science, over the past several centuries, the prevailing Western tendency to reduce the whole of science to mathematical physics unwittingly generated utopian socialism as a political substitute for metaphysics. In short, being unable speculatively, philosophically, and metaphysically to justify this reduction, some Western intellectuals re-conceived the natures of philosophy, science, and metaphysics as increasingly enlightened, historical and political forms of the evolution of human consciousness toward creation of systematic science, a science of clear and distinct ideas. In the process they unwittingly wound up reducing contemporary philosophy and Western higher education largely into tools of utopian socialist political propaganda.

  16. Global Journal of Mathematical Sciences

    African Journals Online (AJOL)

    Global Journal of Mathematical Sciences publishes research work in all areas of ... of new theories, techniques and application to science, industry and society. The journal aims to promote the exchange of information and ideas between all ...

  17. Scientists' attitudes on science and values: Case studies and survey methods in philosophy of science.

    Science.gov (United States)

    Steel, Daniel; Gonnerman, Chad; O'Rourke, Michael

    2017-06-01

    This article examines the relevance of survey data of scientists' attitudes about science and values to case studies in philosophy of science. We describe two methodological challenges confronting such case studies: 1) small samples, and 2) potential for bias in selection, emphasis, and interpretation. Examples are given to illustrate that these challenges can arise for case studies in the science and values literature. We propose that these challenges can be mitigated through an approach in which case studies and survey methods are viewed as complementary, and use data from the Toolbox Dialogue Initiative to illustrate this claim. Copyright © 2017 Elsevier Ltd. All rights reserved.

  18. Philosophy of Education and Other Educational Sciences

    Science.gov (United States)

    Howe, Kenneth R.

    2014-01-01

    This article largely agrees with John White's characterizations of the relationships among philosophy of education, philosophy more generally, and the conventional world. It then extends what White identifies as the fundamental problem that should now be occupying philosophy of education--the irreconcilable opposition between education for…

  19. Connecting Mathematics in Primary Science Inquiry Projects

    Science.gov (United States)

    So, Winnie Wing-mui

    2013-01-01

    Science as inquiry and mathematics as problem solving are conjoined fraternal twins attached by their similarities but with distinct differences. Inquiry and problem solving are promoted in contemporary science and mathematics education reforms as a critical attribute of the nature of disciplines, teaching methods, and learning outcomes involving…

  20. Why Popper can't resolve the debate over global warming: Problems with the uses of philosophy of science in the media and public framing of the science of global warming.

    Science.gov (United States)

    Mercer, David

    2018-02-01

    A notable feature in the public framing of debates involving the science of Anthropogenic Global Warming are appeals to uncritical 'positivist' images of the ideal scientific method. Versions of Sir Karl Popper's philosophy of falsification appear most frequently, featuring in many Web sites and broader media. This use of pop philosophy of science forms part of strategies used by critics, mainly from conservative political backgrounds, to manufacture doubt, by setting unrealistic standards for sound science, in the veracity of science of Anthropogenic Global Warming. It will be shown, nevertheless, that prominent supporters of Anthropogenic Global Warming science also often use similar references to Popper to support their claims. It will also be suggested that this pattern reflects longer traditions of the use of Popperian philosophy of science in controversial settings, particularly in the United States, where appeals to the authority of science to legitimize policy have been most common. It will be concluded that studies of the science of Anthropogenic Global Warming debate would benefit from taking greater interest in questions raised by un-reflexive and politically expedient public understanding(s) of the philosophy of science of both critics and supporters of the science of Anthropogenic Global Warming.

  1. Core Support of the Board on Mathematical Sciences

    Energy Technology Data Exchange (ETDEWEB)

    None

    1995-04-04

    This proposal summarizes activities conducted by the Board on Mathematical Sciences (BMS) during the period August 1, 1994 to July 31, 1995 and describes future plans of the Board for the period August 1, 1995 to July 31, 1998. We are requesting core support in the amount of $105,000 ($35,000 each year) from the Department of Energy for the additional three-year period. The BMS activities supported exclusively by core funding are the annual Department Chairs Colloquia, the National Science and Technology Symposia, specific reports, the initiation of all projects, continuous oversight of all activities, and partial core support of the Committee on Applied and Theoretical Statistics (CATS). Other activities of the Board include giving recommendations on research directions to federal agencies, and reports on education in the mathematical sciences, interaction of mathematical sciences with other areas, health of the mathematical sciences, and emerging research directions.

  2. Introducing History (and Philosophy) of Science in the Classroom: A Field Research Experience in Italy

    Science.gov (United States)

    Dibattista, Liborio; Morgese, Francesca

    2013-01-01

    For quite some time, many EU and Italian Ministry of Education official documents have warmly suggested the introduction of the history and the philosophy of science in the teaching of science disciplines at school. Accordingly, there is a shared agreement between pedagogists and science historians about the efficacy of this approach towards an…

  3. Naturalism and anti-naturalism in contemporary philosophy of science

    Directory of Open Access Journals (Sweden)

    Johan Mouton

    1980-03-01

    Full Text Available The early sixties saw the rise of more an d more schools of thought which came to question the accepted paradigm in the philosophy of science from the 1920’s, i.e. logical positivism. What started as a “ normal” clash of opinions, eventually developed into, as R.F. Baum called it, the “ crisis of the m odern intellect”. No less th an the objectivity o r rationality of scientific knowledge became the issue under discussion. On the one hand Kuhn, Feyerabend, et. al. rejected the positivists’ conception of rationality as being a reduction of the original meaning of human rationality. According to the “ new philosophy of science” rationality has been reduced to logical or methodological computability, thereby neglecting the essential factor of human deliberation and judgement as the essence of human rational behaviour. Logical positivists replied by labelling Kuhn’s new emphasis on subjective factors in the scientific endeavour as “ irrationalistic” and ’’relativistic”.

  4. Why Implementing History and Philosophy in School Science Education Is a Challenge: An Analysis of Obstacles

    Science.gov (United States)

    Hottecke, Dietmar; Silva, Cibelle Celestino

    2011-01-01

    Teaching and learning with history and philosophy of science (HPS) has been, and continues to be, supported by science educators. While science education standards documents in many countries also stress the importance of teaching and learning with HPS, the approach still suffers from ineffective implementation in school science teaching. In order…

  5. Mathematics and Literature

    Institute of Scientific and Technical Information of China (English)

    田琳

    2016-01-01

    In both China and the West, mathematics is closely connected with literature. The maths thought implied in Chinese and western literature is worth our study, and the maths thought in the field of literature is also appear in aesthetics and philoso-phy, so literature, mathematics, aesthetics and philosophy become a network of interconnected.

  6. National Center for Mathematics and Science - links to related sites

    Science.gov (United States)

    Mathematics and Science (NCISLA) HOME | WHAT WE DO | K-12 EDUCATION RESEARCH | PUBLICATIONS | TEACHER Modeling Middle School Mathematics National Association of Biology Teachers National Association for Mathematics National Science Teachers Assocation Show-Me Center Summit on Science TERC - Weaving Gender Equity

  7. Reforming Science Education: Part I. The Search for a Philosophy of Science Education

    Science.gov (United States)

    Schulz, Roland M.

    2009-04-01

    The call for reforms in science education has been ongoing for a century, with new movements and approaches continuously reshaping the identity and values of the discipline. The HPS movement has an equally long history and taken part in the debates defining its purpose and revising curriculum. Its limited success, however, is due not only to competition with alternative visions and paradigms (e.g. STS, multi-culturalism, constructivism, traditionalism) which deadlock implementation, and which have led to conflicting meanings of scientific literacy, but the inability to rise above the debate. At issue is a fundamental problem plaguing science education at the school level, one it shares with education in general. It is my contention that it requires a guiding “metatheory” of education that can appropriately distance itself from the dual dependencies of metatheories in psychology and the demands of socialization—especially as articulated in most common conceptions of scientific literacy tied to citizenship. I offer as a suggestion Egan’s cultural-linguistic theory as a metatheory to help resolve the impasse. I hope to make reformers familiar with his important ideas in general and more specifically, to show how they can complement HPS rationales and reinforce the work of those researchers who have emphasized the value of narrative in learning science. This will be elaborated in Part II of a supplemental paper to the present one. As a prerequisite to presenting Egan’s metatheory I first raise the issue of the need for a conceptual shift back to philosophy of education within the discipline, and thereto, on developing and demarcating true educational theories (essentially neglected since Hirst). In the same vein it is suggested a new research field should be opened with the express purpose of developing a discipline-specific “philosophy of science education” (largely neglected since Dewey) which could in addition serve to reinforce science education

  8. Cognitive science and mathematics education

    CERN Document Server

    Schoenfeld, Alan H

    1987-01-01

    This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.

  9. Practice or Theory: Situating Science Teacher Preparation Within a Context of Ecojustice Philosophy

    Science.gov (United States)

    Britton, Stacey A.; Tippins, Deborah J.

    2015-06-01

    Theory is taught to preservice teachers from the moment they enter the education program until they graduate. While theory serves as the foundation in many teacher preparation courses, these future teachers must also understand the relationship it has to practice. The focus of this article is on the journey of one group of preservice secondary science teachers toward becoming practitioners with a theoretical understanding of what and how they would teach science. Ecojustice philosophy, being implemented through citizen science pedagogy, served as the framework for this method course and proved challenging for both the professor and the preservice teacher. Hermeneutic ethnography served as the guiding methodological/theoretical framework for this research and provided an opportunity for extensive data collection in an attempt to better understand how participants made sense of learning to teach within a method course focused around ecojustice philosophy. By using hermeneutic ethnography, we are encouraged to make sense of what we are seeing, while considering our own cultural experiences and abilities to interact with others taking part in these events. This research highlights the need for dialogue within science teacher preparation classrooms, addresses the challenges in teaching for practice-theory, and suggests possibilities for future considerations within science teacher preparation.

  10. Applied Mathematics, Modelling and Computational Science

    CERN Document Server

    Kotsireas, Ilias; Makarov, Roman; Melnik, Roderick; Shodiev, Hasan

    2015-01-01

    The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26–30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics ...

  11. Poetry, Nature and Science: Romantic Nature Philosophy in the Works of Novalis and E. T. a. Hoffmann

    Science.gov (United States)

    Weisend, Ausma Skerbele

    The nature philosophy of the early Romantic period in Germany attempted to find a synthesis of science and philosophy in a new philosophy of nature. This philosophy was first formulated by F. W. J. Schelling and influenced by the galvanic experiments of J. W. Ritter. Novalis is a unique figure in romanticism since he combines scientific expertise with philosophical insight and poetic imagination. In Lehrlinge zu Sais he explores the significance of nature's language and presents different relationships between man and nature. Novalis thinks that a synthesis of all divergent elements in nature and society is necessary to transform the world. In Klingsohrs Marchen this transformation is accomplished by poetic activation of the physical sciences and by the power of love. After 1800 the romantic movement becomes interested in the problems of subconscious and abnormal psychological states, which are seen as contacts with a more spiritual level of existence. These ideas, expressed in a popular form by G. H. Schubert, provide a rich source of materials for E. T. A. Hoffmann, who elevates the realms of poetry and music in his fairy tales, but sees only negative qualities in science. Hoffmann's protagonists find that love, music, and poetry are the greatest forces in life. The figure of the scientist becomes an evil magician with no regard for human values. The romantic movement failed to unite the values of humanities with the insights of physical sciences. The problem of autonomy isolates both modern science and modern literature from the ethical values of society.

  12. A stale challenge to the philosophy of science: commentary on "Is psychology based on a methodological error?" by Michael Schwarz.

    Science.gov (United States)

    Ruck, Nora; Slunecko, Thomas

    2010-06-01

    In his article "Is psychology based on a methodological error?" and based on a quite convincing empirical basis, Michael Schwarz offers a methodological critique of one of mainstream psychology's key test theoretical axioms, i.e., that of the in principle normal distribution of personality variables. It is characteristic of this paper--and at first seems to be a strength of it--that the author positions his critique within a frame of philosophy of science, particularly positioning himself in the tradition of Karl Popper's critical rationalism. When scrutinizing Schwarz's arguments, however, we find Schwarz's critique profound only as an immanent critique of test theoretical axioms. We raise doubts, however, as to Schwarz's alleged 'challenge' to the philosophy of science because the author not at all seems to be in touch with the state of the art of contemporary philosophy of science. Above all, we question the universalist undercurrent that Schwarz's 'bio-psycho-social model' of human judgment boils down to. In contrast to such position, we close our commentary with a plea for a context- and culture sensitive philosophy of science.

  13. The future of philosophy.

    Science.gov (United States)

    Searle, J R

    1999-12-29

    There is no sharp dividing line between science and philosophy, but philosophical problems tend to have three special features. First, they tend to concern large frameworks rather than specific questions within the framework. Second, they are questions for which there is no generally accepted method of solution. And third they tend to involve conceptual issues. For these reasons a philosophical problem such as the nature of life can become a scientific problem if it is put into a shape where it admits of scientific resolution. Philosophy in the 20th century was characterized by a concern with logic and language, which is markedly different from the concerns of earlier centuries of philosophy. However, it shared with the European philosophical tradition since the 17th century an excessive concern with issues in the theory of knowledge and with scepticism. As the century ends, we can see that scepticism no longer occupies centre stage, and this enables us to have a more constructive approach to philosophical problems than was possible for earlier generations. This situation is somewhat analogous to the shift from the sceptical concerns of Socrates and Plato to the constructive philosophical enterprise of Aristotle. With that in mind, we can discuss the prospects for the following six philosophical areas: (1) the traditional mind-body problem; (ii) the philosophy of mind and cognitive science; (iii) the philosophy of language; (iv) the philosophy of society; (v) ethics and practical reasons; (vi) the philosophy of science. The general theme of these investigations, I believe, is that the appraisal of the true significance of issues in the philosophy of knowledge enables us to have a more constructive account of various other philosophical problems than has typically been possible for the past three centuries.

  14. The future of philosophy.

    Science.gov (United States)

    Searle, J R

    1999-01-01

    There is no sharp dividing line between science and philosophy, but philosophical problems tend to have three special features. First, they tend to concern large frameworks rather than specific questions within the framework. Second, they are questions for which there is no generally accepted method of solution. And third they tend to involve conceptual issues. For these reasons a philosophical problem such as the nature of life can become a scientific problem if it is put into a shape where it admits of scientific resolution. Philosophy in the 20th century was characterized by a concern with logic and language, which is markedly different from the concerns of earlier centuries of philosophy. However, it shared with the European philosophical tradition since the 17th century an excessive concern with issues in the theory of knowledge and with scepticism. As the century ends, we can see that scepticism no longer occupies centre stage, and this enables us to have a more constructive approach to philosophical problems than was possible for earlier generations. This situation is somewhat analogous to the shift from the sceptical concerns of Socrates and Plato to the constructive philosophical enterprise of Aristotle. With that in mind, we can discuss the prospects for the following six philosophical areas: (1) the traditional mind-body problem; (ii) the philosophy of mind and cognitive science; (iii) the philosophy of language; (iv) the philosophy of society; (v) ethics and practical reasons; (vi) the philosophy of science. The general theme of these investigations, I believe, is that the appraisal of the true significance of issues in the philosophy of knowledge enables us to have a more constructive account of various other philosophical problems than has typically been possible for the past three centuries. PMID:10670025

  15. The Philosophy of Science and Technology in China: Political and Ideological Influences

    Science.gov (United States)

    Guo, Yuanlin

    2014-01-01

    In China, the philosophy of science and technology (PST) is derived from "Dialectics of Nature" (DN), which is based on Engels' unfinished book "Dialektik der Natur." DN as a political ideology provides political guidance for scientists and engineers. Therefore, since 1981, "Introduction to Dialectics of Nature" (IDN)…

  16. Facilitating awareness of philosophy of science, ethics and communication through manual skills training in undergraduate education.

    Science.gov (United States)

    Kordahl, Hilde Lund; Fougner, Marit

    2017-03-01

    Professional health science education includes a common theoretical basis concerning the theory of science, ethics and communication. Former evaluations by first-year students of the bachelor physiotherapy program at Oslo and Akershus University College of Applied Sciences (HiOA) show that they find it hard to understand the relation between these particular topics and future professional practice. This challenge is the starting point for a pedagogical development project that aims to develop learning contexts that highlight the relevance of these theoretical concepts. The aim of the study is to explore and present findings on the value of using Sykegrep manual skills classes as an arena in which students can be encouraged to think about, reflect on and appreciate the role and value of the philosophical perspectives that inform their practice and contributes to practise knowledge. A qualitative study with data collection through focus groups was performed and analyzed using thematic content analysis. Eighteen first-year undergraduate students, who had completed the manual skills course, participated in the study. Analysis of the data yielded three categories of findings that can be associated with aspects of philosophy of science, ethics and communication. These are as follows: 1) preconceived understanding of physiotherapy; 2) body knowledge perspectives; and 3) relational aspects of interactions. Undergraduate students' understanding and experience of philosophy of science, ethics and communication may be facilitated by peer collaboration, reflection on intimacy and touch and the ethical aspects of interaction during manual skills training. Practical classes in Sykegrep provide a basis for students' discussions about the body as well as their experiences with the body in the collaborative learning context. The students' reflections on their expectations of manual skills in physiotherapy and experiences of touch and being touched can facilitate an awareness of

  17. Report on a Boston University Conference December 7-8, 2012 on How Can the History and Philosophy of Science Contribute to Contemporary US Science Teaching?

    Science.gov (United States)

    Garik, Peter; Benétreau-Dupin, Yann

    2014-09-01

    This is an editorial report on the outcomes of an international conference sponsored by a grant from the National Science Foundation (NSF) (REESE-1205273) to the School of Education at Boston University and the Center for Philosophy and History of Science at Boston University for a conference titled: How Can the History and Philosophy of Science Contribute to Contemporary US Science Teaching? The presentations of the conference speakers and the reports of the working groups are reviewed. Multiple themes emerged for K-16 education from the perspective of the history and philosophy of science. Key ones were that: students need to understand that central to science is argumentation, criticism, and analysis; students should be educated to appreciate science as part of our culture; students should be educated to be science literate; what is meant by the nature of science as discussed in much of the science education literature must be broadened to accommodate a science literacy that includes preparation for socioscientific issues; teaching for science literacy requires the development of new assessment tools; and, it is difficult to change what science teachers do in their classrooms. The principal conclusions drawn by the editors are that: to prepare students to be citizens in a participatory democracy, science education must be embedded in a liberal arts education; science teachers alone cannot be expected to prepare students to be scientifically literate; and, to educate students for scientific literacy will require a new curriculum that is coordinated across the humanities, history/social studies, and science classrooms.

  18. Explanations - Styles of explanation in science

    Science.gov (United States)

    Cornwell, John

    2004-06-01

    Our lives, states of health, relationships, behavior, experiences of the natural world, and the technologies that shape our contemporary existence are subject to a superfluity of competing, multi-faceted and sometimes incompatible explanations. Widespread confusion about the nature of "explanation" and its scope and limits pervades popular exposition of the natural sciences, popular history and philosophy of science. This fascinating book explores the way explanations work, why they vary between disciplines, periods, and cultures, and whether they have any necessary boundaries. In other words, Explanations aims to achieve a better understanding of explanation, both within the sciences and the humanities. It features contributions from expert writers from a wide range of disciplines, including science, philosophy, mathematics, and social anthropology.

  19. History of mathematics and history of science.

    Science.gov (United States)

    Mann, Tony

    2011-09-01

    This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic careers open to practitioners have had a profound effect on the discipline, leading to a focus on elite mathematics and great mathematicians. More recently, reflecting earlier developments in the history of science, an increased interest in the context and culture of the practice of mathematics has become evident.

  20. Applied data-centric social sciences concepts, data, computation, and theory

    CERN Document Server

    Sato, Aki-Hiro

    2014-01-01

    Applied data-centric social sciences aim to develop both methodology and practical applications of various fields of social sciences and businesses with rich data. Specifically, in the social sciences, a vast amount of data on human activities may be useful for understanding collective human nature. In this book, the author introduces several mathematical techniques for handling a huge volume of data and analysing collective human behaviour. The book is constructed from data-oriented investigation, with mathematical methods and expressions used for dealing with data for several specific problems. The fundamental philosophy underlying the book is that both mathematical and physical concepts are determined by the purposes of data analysis. This philosophy is shown throughout exemplar studies of several fields in socio-economic systems. From a data-centric point of view, the author proposes a concept that may change people’s minds and cause them to start thinking from the basis of data. Several goals underlie ...

  1. A Companion to the Philosophy of Technology

    DEFF Research Database (Denmark)

    Friis, Jan Kyrre Berg O.; Pedersen, Stig Andur; Hendricks, Vincent F.

    The aim of philosophy of technology is to help us understand technology's complex interrelationships with the environment, society, culture - and with our very existence. A Companion to the Philosophy of Technology is the first comprehensive, authoritative reference source for this burgeoning...... those of the humanities, social studies, natural science, sociology, psychology, and engineering sciences and reflect a diversity of philosophical traditions such as pragmatism, analytical philosophy, and phenomenology. Erudite and authoritative, A Companion to the Philosophy of Technology is a major...

  2. On evidence and evidence-based medicine: lessons from the philosophy of science.

    Science.gov (United States)

    Goldenberg, Maya J

    2006-06-01

    The evidence-based medicine (EBM) movement is touted as a new paradigm in medical education and practice, a description that carries with it an enthusiasm for science that has not been seen since logical positivism flourished (circa 1920-1950). At the same time, the term "evidence-based medicine" has a ring of obviousness to it, as few physicians, one suspects, would claim that they do not attempt to base their clinical decision-making on available evidence. However, the apparent obviousness of EBM can and should be challenged on the grounds of how 'evidence' has been problematised in the philosophy of science. EBM enthusiasm, it follows, ought to be tempered. The post-positivist, feminist, and phenomenological philosophies of science that are examined in this paper contest the seemingly unproblematic nature of evidence that underlies EBM by emphasizing different features of the social nature of science. The appeal to the authority of evidence that characterizes evidence-based practices does not increase objectivity but rather obscures the subjective elements that inescapably enter all forms of human inquiry. The seeming common sense of EBM only occurs because of its assumed removal from the social context of medical practice. In the current age where the institutional power of medicine is suspect, a model that represents biomedicine as politically disinterested or merely scientific should give pause.

  3. Mathematics and Science Learning Opportunities in Preschool Classrooms

    Science.gov (United States)

    Piasta, Shayne B.; Pelatti, Christina Yeager; Miller, Heather Lynnine

    2014-01-01

    Research findings The present study observed and coded instruction in 65 preschool classrooms to examine (a) overall amounts and (b) types of mathematics and science learning opportunities experienced by preschool children as well as (c) the extent to which these opportunities were associated with classroom and program characteristics. Results indicated that children were afforded an average of 24 and 26 minutes of mathematics and science learning opportunities, respectively, corresponding to spending approximately 25% of total instructional time in each domain. Considerable variability existed, however, in the amounts and types of mathematics and science opportunities provided to children in their classrooms; to some extent, this variability was associated with teachers’ years of experience, teachers’ levels of education, and the socioeconomic status of children served in the program. Practice/policy Although results suggest greater integration of mathematics and science in preschool classrooms than previously established, there was considerable diversity in the amounts and types of learning opportunities provided in preschool classrooms. Affording mathematics and science experiences to all preschool children, as outlined in professional and state standards, may require additional professional development aimed at increasing preschool teachers’ understanding and implementation of learning opportunities in these two domains in their classrooms. PMID:25489205

  4. Advances in philosophy and environment in Iberoamerica. Meaningful link between philosophy and environmental sciences

    International Nuclear Information System (INIS)

    Bugallo, Alicia Irene

    2007-01-01

    The growing expansion of environmental conscience in the last thirty years of the X X century has influenced the field of philosophy, especially practical philosophy, through the questioning of beliefs, values and goals of industrial civilization. The emergence of the eco philosophy realm was accompanied by the incidence of different scientific disciplines as ecology, biology, economy, anthropology or sociology. But together with these influences, environmental philosophy remains forcefully normative, as a kind of sophia, wisdom. It implies prescriptions, not only scientific description and prediction. The consideration of the term biodiversity as a thick ethical concept shows this integration of descriptive and normative

  5. Why Philosophy Matters

    Science.gov (United States)

    Mason, Richard

    2005-01-01

    The motives of philosophers tend to be personal. Philosophy has mattered politically as part of continuing political debates. Its effects on politics, religion and the development of the sciences have been evident. Philosophy has been supposed to have special educational value, from its contents or from the benefits of its methods and arguments.…

  6. Victorian Certificate of Education: Mathematics, Science and Gender

    Science.gov (United States)

    Cox, Peter J.; Leder, Gilah C.; Forgasz, Helen J.

    2004-01-01

    Gender differences in participation and performance at "high stakes" examinations have received much public attention, which has often focused on mathematics and science subjects. This paper describes the innovative forms of assessment introduced into mathematics and science subjects within the Victorian Certificate of Education (VCE)…

  7. Philosophy and Sociology Studies

    Directory of Open Access Journals (Sweden)

    S. A. Kravchenko

    2014-01-01

    Full Text Available Philosophy and Social science school of MGIMO has received both nationwide and international recognition. The traditions of the school were laid by two highly respected scientists and science managers, George P. Frantsev, who was the rector MGIMO during the crucial period of its early years, and Alexander F. Shishkin, who was the founder and head of the Department of Philosophy. The former belonged to one of the best schools of antic history studies of the Petersburg (Leningrad University. Frantsev made a great contribution to the restoration of Russian social and political science after World War II. After graduating from MGIMO, he worked at the Foreign Ministry of USSR, and then served as a rector of the Academy of Social Sciences and chief-editor of the journal "Problems of Peace and Socialism" in Prague. He consistently supported MGIMO scientists and recommended them as participants for international congresses and conferences. Shishkin was born in Vologda, and studied in Petrograd during 1920s. His research interests included history of education and morality. He was the author of the first textbook on ethics in the postwar USSR. Other works Shishkin, including monograph "XX century and the moral values of humanity", played a in reorienting national philosophy from class interests to universal moral principles. During thirty years of his leadership of the Department of Philosophy, Shishkin managed to prepare several generations of researchers and university professors. Scientists educated by Shishkin students consider themselves to be his "scientific grandchildren". The majority of MGIMO post-graduate students followed the footsteps of Frantsev in their research, but they also were guided by Shishkin's ideas on morality in human relations. Philosophy and Social science school of MGIMO played an important role in the revival of Soviet social and political science. Soviet Social Science Association (SSSA, established in 1958, elected Frantsev

  8. Feferman on foundations logic, mathematics, philosophy

    CERN Document Server

    Sieg, Wilfried

    2017-01-01

    This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth ...

  9. Science, technology, engineering, mathematics (STEM) as mathematics learning approach in 21st century

    Science.gov (United States)

    Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar

    2017-08-01

    This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.

  10. A Bibliography for Philosophy and Constructivism in Science Education

    Science.gov (United States)

    Matthews, Michael R.

    The research literature on educational constructivism is voluminous (see the Carmichael (1990) Pfundt & Duit (1994) and Driver et al. (1994b) bibliographies cited below). The research - in both the Piagetian and Alternative Conception traditions - covers children's learning, cognitive development, curriculum development, classroom practices, teacher education, and much else. There is a further enormous literature on constructivism in philosophy of science (see Leplin (1984) and Churchland & Hooker (1985)), and on constructivism in the sociology of science (see Brown (1984), McMullin (1988, 1992). In turn these latter literatures overlap with the ocean of writing on post-modernist theory of knowledge and cognition (see Gross & Levitt (1994)). The following references relate mostly to educational constructivism, and then, with some exceptions, to articles that address epistemological and philosophical matters in science education. Even so it is not an exhaustive list, but hopefully it will be useful for teachers and researchers in the field. The author welcomes additions or omissions being brought to his attention.

  11. The Study of Philosophy in Innovative Power Engineering Post-graduate Course

    Science.gov (United States)

    Sokolova, J. V.

    2017-11-01

    Training of highly qualified personnel for the innovative high-tech fields of power engineering is one of the most important tasks of modern education. A number of special features of modern power engineering necessitate not only a highly specialized training but a wider approach in teaching postgraduate students of this field. These special features include a high degree of integration of science, industry, economic and social spheres, and the breadth of interdisciplinary connections in high-tech industries. The postgraduate philosophical training plays an important role in the educational process. The breadth of the problem field and the universality of philosophical knowledge reveal the methods and mechanisms of integration of such sub-disciplines that have significant methodological and structural differences: science, logical-mathematical, socio-economic, technological and human knowledge. Appeal to the philosophy at the stage of postgraduate training has a number of reasons. First of all, it is aimed at integrating of the specific content of different areas of knowledge into a holistic worldview. Secondly, it contributes in developing a critical attitude towards reality and science. What is more, the study of philosophy helps young researches to acquire the definition of their ideological position.

  12. MATHEMATICS TEACHER: MOVING KNOWLEDGE UNDER FORMATION

    Directory of Open Access Journals (Sweden)

    Roselaine Machado Albernaz

    2010-07-01

    Full Text Available This essay approaches the Mathematics teacher forming process from his/her experiences in the school system and the set of knowledge that hashistorical, philosophical and politically constituted him/her. This set of knowledge not only comprises academic knowledge, but also involves the subjective effects of knowledge it incorporates. Starting from a tale, the character, called ‘researcher-teacher’, conducts the text throughout questions about the forming processes of teachers of such a particular subject as Mathematics. The character seems to have an “interrogative something” which is peculiar to us, teachers, concerned about our disciplinary field. Having the objective of problematize the formation and knowledge of our character, her ways of being, thinking and perceiving, we intend to question, with and through her, the new requirements that have been demanded towards Mathematics teachers and the set of knowledge that constitute her, the way she is, her way of acting and taking  position in the school universe. The proposed essay seeks for an articulation between the fields of Art, Philosophy, Science and Education. It speaks about the intriguing school world, but not least, the ways we think to treat the forming process of Mathematics teachers from a set of logical, subjective and sensitive knowledge.  Key words: Forming process of teachers; mathematics; aesthetic experience; philosophy of difference.

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    2. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Academiei Str., 14, 010014, Romania; Technical University of Civil Engineering, Bucharest, Lacul Tei Blvd., 122-124, 020396, Romania ...

  14. Mathematical subtleties and scientific knowledge: Francis Bacon and mathematics, at the crossing of two traditions.

    Science.gov (United States)

    Mori, Giuliano

    2017-03-01

    This article engages the much-debated role of mathematics in Bacon's philosophy and inductive method at large. The many references to mathematics in Bacon's works are considered in the context of the humanist reform of the curriculum studiorum and, in particular, through a comparison with the kinds of natural and intellectual subtlety as they are defined by many sixteenth-century authors, including Cardano, Scaliger and Montaigne. Additionally, this article gives a nuanced background to the 'subtlety' commonly thought to have been eschewed by Bacon and by Bacon's self-proclaimed followers in the Royal Society of London. The aim of this article is ultimately to demonstrate that Bacon did not reject the use of mathematics in natural philosophy altogether. Instead, he hoped that following the Great Instauration a kind of non-abstract mathematics could be founded: a kind of mathematics which was to serve natural philosophy by enabling men to grasp the intrinsic subtlety of nature. Rather than mathematizing nature, it was mathematics that needed to be 'naturalized'.

  15. African Journal of Educational Studies in Mathematics and Sciences ...

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Journal Home > African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Log in or Register to get access to full text downloads.

  16. [The diversity of science in Carnap's, Lewin's and Fleck's philosophy. The development of a pluralistic scientific concept].

    Science.gov (United States)

    Köchy, Kristian

    2010-03-01

    In the 1920s and 1930s three different but simultaneous approaches of philosophy of science can be distinguished: the logical approach of the physicist Rudolf Carnap, the logico-historical approach of the psychologist Kurt Lewin and the socio-historical approach of the medical scientist Ludwik Fleck. While the philosophies of Lewin and Fleck can be characterized as contextual appraisals which account for the interactions between particular sciences and their historical, socio-cultural or intellectual environments, Carnap's philosohy is narrowed to an internal methodology centered on scientific propositions and ogical structures in general. In addition to these differences in aim and practice of methodological analysis the estimation of the real disunity and diversity of the special branches of science differs. Instead of Carnap's ideal of a unified science from the new pluralistic point of view the evaluation of the empirical multiplicity of particular sciences obtains philosophical acceptance.

  17. The Links between Science, Philosophy, and Military Theory: Understanding the Past, Implications for the Future

    National Research Council Canada - National Science Library

    Pellegrini, Robert

    1997-01-01

    ... with an emphasis on its interpretation by the German Romanticist philosopher Immanuel Kant. He then shows how Newtonian science and Kant's philosophy affected the military theory of Carl von Clausewitz...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Jiangtao Shi1 Cui Zhang1 2. School of Mathematics and Information Science, Yantai University, Yantai 264005, China; University of Primorska, IAM, Muzejski trg 2, 6000 Koper, Slovenia ...

  19. Basic mathematics for the biological and social sciences

    CERN Document Server

    Marriott, F H C

    2013-01-01

    Basic Mathematics for the Biological and Social Sciences deals with the applications of basic mathematics in the biological and social sciences. Mathematical concepts that are discussed in this book include graphical methods, differentiation, trigonometrical or circular functions, limits and convergence, integration, vectors, and differential equations. The exponential function and related functions are also considered. This monograph is comprised of 11 chapters and begins with an overview of basic algebra, followed by an introduction to infinitesimal calculus, scalar and vector quantities, co

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 126; Issue 3 ... method on BSDEs with non-uniformly Lipschitz coefficients and its applications ... School of Statistics, Qufu Normal University, Qufu, Shandong 273165, China ...

  1. Encouraging Creativity in Mathematics and Science through Photography

    Science.gov (United States)

    Munakata, Mika; Vaidya, Ashwin

    2012-01-01

    Based on the results of a survey of the science and mathematics students at our university, we observed that students do not consider mathematics and science to be creative endeavors, though the traditional artistic disciplines rank high in this regard. To address this problem in perception, the authors used photography as a means to encourage…

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    dimensional stochastic Navier–Stokes equations in the presence of delays. The results extend some of the existing results. Author Affiliations. Huabin Chen1. Department of Mathematics, School of Science, Nanchang University, Nanchang 330031, ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    . Articles written in Proceedings – Mathematical Sciences. Volume 121 Issue 1 February 2011 pp 93-109. Analysis of a Malaria Model with Mosquito-Dependent Transmission Coefficient for Humans · G C Hazarika Anuradha Bhattacharjee.

  4. Mathematics education giving meaning to Social Science students

    DEFF Research Database (Denmark)

    Andersson, Annica; Valero, Paola

    Compulsory mathematics for social science students is problematic. We discuss the case of a group of students in Sweden who met a mathematics course inspired on the ideas of critical mathematics education and ethnomathematics. The evidence collected about students' experiences on this course...

  5. Science, Engineering, and Mathematics (SEM) at the Timbuktu Academy

    Science.gov (United States)

    2005-07-31

    Science (AAAS) and the first Standards of the National Council of Teachers o f Mathematics ( NCTM ) both appeared in 1989 . They were followed by Scope...National Council of Teachers of Mathematics ( NCTM , 1989, 1991 , and 1995), Science for All Americans (Project 2061) and the Benchmarks of the America n...Documents, Mail Stop SSOP, Washington, DC, 20402-9328 . National Council of Teachers of Mathematics ( NCTM ) . Curriculum and Evaluation Standard s for School

  6. Sir Karl Popper and his philosophy of physics

    Science.gov (United States)

    Jammer, Max

    1991-12-01

    The eminent mathematical physicist Sir Hermann Bondi once said: “There is no more to science than its method, and there is no more to its method than Popper has said.” Indeed, many regard Sir Karl Raimund Popper the greatest philosopher of science in our generation. Much of what Popper “has said” refers to physics, but physicists, generally speaking, have little knowledge of what he has said. True, Popper's philosophy of science and, in particular, his realistic interpretation of quantum mechanics deviates considerably from the generally accepted doctrine. But as Popper, rightly I think, points out, it is precisely the proliferation of divergent theories which promotes the growth of scientific knowledge; it would be a danger for physics if physicists were dogmatically tied to a single theory or would not test their theory against alternatives. It is for this purpose that, on the occasion of the nonagenarian celebration of Popper's birthday, the present essay has been written.

  7. La "fête mobile" de la non-philosophie

    Directory of Open Access Journals (Sweden)

    Yvanka B. Raynova

    2018-03-01

    (Abstract   The editorial aims to unveil the attracting force of Laruelle's non-philosophy for scholars from different disciplines and artists. It shows how a new "democratic order of thinking" permits non-philosophy to enclose domains that have long been considered as opposites: philosophy, science, religion and the arts. Conceived as parameters of thought of the same right and without privileges, these variables can be superposed in a process of creative invention. The performative force of non-standard thinking, which can take different forms of philo-fiction, science fiction, art fiction, Christo-Fiction etc., dismantles the decisional gestures and the sufficiency claims of philosophy, science and religion, and thus permits a regeneration as well as a choral orchestration in a "minimalistic symphony". In this sense, non-philosophy invites us every day to the "movable feast", that it is.

  8. Persisting mathematics and science high school teachers: A Q-methodology study

    Science.gov (United States)

    Robbins-Lavicka, Michelle M.

    There is a lack of qualified mathematics and science teachers at all levels of education in Arkansas. Lasting teaching initiative programs are needed to address retention so qualified teachers remain in the classroom. The dearth of studies regarding why mathematics and science teachers persist in the classroom beyond the traditional 5-year attrition period led this Q-methodological study to evaluate the subjective perceptions of persistent mathematics and science teachers to determine what makes them stay. This study sought to understand what factors persisting mathematics and science teachers used to explain their persistence in the classroom beyond 5 years and what educational factors contributed to persisting mathematics and science teachers. Q-methodology combines qualitative and quantitative techniques and provided a systematic means to investigate personal beliefs by collecting a concourse, developing a Q-sample and a person-sample, conducting a Q-sorting process, and analyzing the data. The results indicated that to encourage longevity within mathematics and science classrooms (a) teachers should remain cognizant of their ability to influence student attitudes toward teaching; (b) administrators should provide support for teachers and emphasize the role and importance of professional development; and (c) policy makers should focus their efforts and resources on developing recruitment plans, including mentorship programs, while providing and improving financial compensation. Significantly, the findings indicate that providing mentorship and role models at every level of mathematics and science education will likely encourage qualified teachers to remain in the mathematics and science classrooms, thus increasing the chance of positive social change.

  9. Immanent philosophy of X.

    Science.gov (United States)

    Hendry, Robin Findlay

    2016-02-01

    In this paper I examine the relationship between historians, philosophers and sociologists of science, and indeed scientists themselves. I argue that (i) they co-habit a shared intellectual territory (science and its past); and (ii) they should be able to do so peacefully, and with mutual respect, even if they disagree radically about how to describe the methods and results of science. I then go on to explore some of the challenges to mutually respectful cohabitation between history, philosophy and sociology of science. I conclude by identifying a familiar kind of project in the philosophy of science which seeks to explore the worldview of a particular scientific discipline, and argue that it too has a right to explore the shared territory even though some historians and sociologists may find it methodologically suspect. Copyright © 2015 Elsevier Ltd. All rights reserved.

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Dongmei Ren1 Yaming Lu2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China; Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, People's Republic of China ...

  11. The Links Between Science and Philosophy and Military Theory: Understanding the Past; Implications for the Future

    National Research Council Canada - National Science Library

    Pellegrini, Robert

    1995-01-01

    ... with an emphasis on its interpretation by the German Romanticist philosopher, Immanuel Kant. He then shows how Newtonian science and Kant's philosophy affected the military theory of Carl von Clausewitz...

  12. The Teachers Academy for Mathematics and Science

    Energy Technology Data Exchange (ETDEWEB)

    1992-01-01

    In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President's goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.

  13. A Teaching-Learning Sequence of Colour Informed by History and Philosophy of Science

    Science.gov (United States)

    Maurício, Paulo; Valente, Bianor; Chagas, Isabel

    2017-01-01

    In this work, we present a teaching-learning sequence on colour intended to a pre-service elementary teacher programme informed by History and Philosophy of Science. Working in a socio-constructivist framework, we made an excursion on the history of colour. Our excursion through history of colour, as well as the reported misconception on colour…

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1. Current Issue Volume 128 | Issue 1. March 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Motreanu2 Nikolaos S Papageorgiou3. Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072 Cracow, Poland; Département de Mathematiques, Université de Perpignan, 66860 Perpignan, France; Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 2. Current Issue Volume 128 | Issue 2. April 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1 · Current Issue Volume 128 | Issue 1. March 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...

  18. Shifting frontiers of transcendence in theology, philosophy and science

    Directory of Open Access Journals (Sweden)

    Cornelius W. du Toit

    2011-04-01

    Full Text Available This article dealt cursorily with developments in theology, philosophy and the sciences that have contributed to what one might call horizontal transcendence. The premise is that humans have evolved into beings that are wired for transcendence. Transcendence is described in terms of the metaphor of frontiers and frontier posts. Although the frontiers of transcendence shift according to the insights, understanding and needs of every epoch and world view, it remains transcendent, even in its immanent mode. Diverse perceptions of that frontier normally coexist in every era and we can only discern a posteriori which was the dominant one. Frontiers are fixed with reference to the epistemologies, notions of the subject and power structures of a given era. From a theological point of view, encounter with the transcendent affords insight, not into the essence of transcendence, but into human self-understanding and understanding of our world. Transcendence enters into the picture when an ordinary human experience acquires a depth and an immediacy that are attributed to an act of God. In philosophy, transcendence evolved from a noumenal metaphysics focused on the object (Plato, via emphasis on the epistemological structure and limits of the knowing subject (Kant and an endeavour to establish a dynamic subject-object dialectics (Hegel, to the assimilation of transcendence into human existence (Heidegger. In the sciences certain developments opened up possibilities for God to act in non-interventionist ways. The limitations of such an approach are considered, as well as promising new departures – and their limitations – in the neurosciences. From all of this I conclude that an immanent-transcendent approach is plausible for our day and age.

  19. Philosophy of Data: Why?

    Science.gov (United States)

    Furner, Jonathan

    2017-01-01

    Philosophy of data should not be dismissed as a cluster of scholastic puzzles whose solutions are of limited practical value. On the contrary, philosophy of data should be recognized as constituting the core of a field of data studies that is informed by, but far from equivalent to, statistics, computer science, and library and information studies.

  20. Regaining the Edge in Urban Education: Mathematics and Sciences.

    Science.gov (United States)

    Gallon, Dennis P., Ed.

    In order to remain competitive in the world economy, the United States must develop and improve mathematics and science education. Given that the future workforce in this country will be comprised largely of women and minorities, groups traditionally not entering mathematics and science careers, special recruitment and retention efforts must be…

  1. Philosophy of science and the emerging paradigm: implications for hypnosis.

    Science.gov (United States)

    Osowiec, Darlene A

    2014-01-01

    Within the hypnosis field, there is a disparity between clinical and research worldviews. Clinical practitioners work with patients who are dealing with serious, often unique, real-world problems-lived experience. Researchers adhere to objective measurements, standardization, data, and statistics. Although there is overlap, an ongoing divergence can be counterproductive to the hypnosis field and to the larger professional and social contexts. The purpose of this article is: (1) to examine some of the major assumptions, the history, and the philosophy that undergird the definition of science, which was constructed in the mid-17th century; (2) to discover how science is a product of prevailing social forces and is undergoing a paradigm shift; and (3) to understand the more encompassing, holistic paradigm with implications for the hypnosis field.

  2. Linking Teaching in Mathematics and the Subjects of Natural Science

    DEFF Research Database (Denmark)

    Michelsen, Claus

    2017-01-01

    teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...

  3. Girls in Engineering, Mathematics and Science, GEMS: A Science Outreach Program for Middle-School Female Students

    Science.gov (United States)

    Dubetz, Terry A.; Wilson, Jo Ann

    2013-01-01

    Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…

  4. Mathematics for engineering, technology and computing science

    CERN Document Server

    Martin, Hedley G

    1970-01-01

    Mathematics for Engineering, Technology and Computing Science is a text on mathematics for courses in engineering, technology, and computing science. It covers linear algebra, ordinary differential equations, and vector analysis, together with line and multiple integrals. This book consists of eight chapters and begins with a discussion on determinants and linear equations, with emphasis on how the value of a determinant is defined and how it may be obtained. Solution of linear equations and the dependence between linear equations are also considered. The next chapter introduces the reader to

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. GUANGYUE HUANG1 2 BINGQING MA1 2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, People's Republic of China; Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Xinxiang 453007, People's Republic of China ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 4. An Optimal Version of an Inequality Involving the Third Symmetric Means. Wen Jiajin Yuan Jun Yuan Shufeng. Volume 118 Issue 4 November ... Keywords. Third symmetric mean of degree; optimal values; inequality; descending dimension method.

  7. Logic, mathematics, and computer science modern foundations with practical applications

    CERN Document Server

    Nievergelt, Yves

    2015-01-01

    This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory.  The focus is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and  provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so uni...

  8. Observation, Inference, and Imagination: Elements of Edgar Allan Poe's Philosophy of Science

    Science.gov (United States)

    Gelfert, Axel

    2014-01-01

    Edgar Allan Poe's standing as a literary figure, who drew on (and sometimes dabbled in) the scientific debates of his time, makes him an intriguing character for any exploration of the historical interrelationship between science, literature and philosophy. His sprawling "prose-poem" "Eureka" (1848), in particular, has…

  9. From the instantia crucis to the crucial experiment: different perspectives in philosophy and science

    Directory of Open Access Journals (Sweden)

    Anabel Cardoso Raicik

    2017-12-01

    Full Text Available The existence and meaning of crucial experiments are issues that do not hold consensus in science and the philosophy of science. Duhem, Popper and Lakatos, for example, present antagonistic positions among themselves and even in relation to the idea of instantia crucis made explicit by Francis Bacon in the Novum Organum. This article aims at rescuing the Baconian definition, recognizing that it is part of a distinct philosophical position of contemporary theses, and discussing some conceptions of crucial experiment both by philosophers of science and by some scholars, such as Newton. Also, point out some reflections for the teaching of sciences.

  10. Relativity the theory and its philosophy

    CERN Document Server

    Angel, Roger B

    1980-01-01

    Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus.Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relatio

  11. [Treatment goals in FACE philosophy].

    Science.gov (United States)

    Martin, Domingo; Maté, Amaia; Zabalegui, Paula; Valenzuela, Jaime

    2017-03-01

    The FACE philosophy is characterized by clearly defined treatment goals: facial esthetics, dental esthetics, periodontal health, functional occlusion, neuromuscular mechanism and joint function. The purpose is to establish ideal occlusion with good facial esthetics and an orthopedic stable joint position. The authors present all the concepts of FACE philosophy and illustrate them through one case report. Taking into account all the FACE philosophy concepts increases diagnostic ability and improves the quality and stability of treatment outcomes. The goal of this philosophy is to harmonize the facial profile, tooth alignment, periodontium, functional occlusion, neuromuscular mechanism and joint function. The evaluation and treatment approach to vertical problems are unique to the philosophy. © EDP Sciences, SFODF, 2017.

  12. Randomness in quantum mechanics: philosophy, physics and technology.

    Science.gov (United States)

    Bera, Manabendra Nath; Acín, Antonio; Kuś, Marek; Mitchell, Morgan W; Lewenstein, Maciej

    2017-12-01

    This progress report covers recent developments in the area of quantum randomness, which is an extraordinarily interdisciplinary area that belongs not only to physics, but also to philosophy, mathematics, computer science, and technology. For this reason the article contains three parts that will be essentially devoted to different aspects of quantum randomness, and even directed, although not restricted, to various audiences: a philosophical part, a physical part, and a technological part. For these reasons the article is written on an elementary level, combining simple and non-technical descriptions with a concise review of more advanced results. In this way readers of various provenances will be able to gain while reading the article.

  13. Randomness in quantum mechanics: philosophy, physics and technology

    Science.gov (United States)

    Nath Bera, Manabendra; Acín, Antonio; Kuś, Marek; Mitchell, Morgan W.; Lewenstein, Maciej

    2017-12-01

    This progress report covers recent developments in the area of quantum randomness, which is an extraordinarily interdisciplinary area that belongs not only to physics, but also to philosophy, mathematics, computer science, and technology. For this reason the article contains three parts that will be essentially devoted to different aspects of quantum randomness, and even directed, although not restricted, to various audiences: a philosophical part, a physical part, and a technological part. For these reasons the article is written on an elementary level, combining simple and non-technical descriptions with a concise review of more advanced results. In this way readers of various provenances will be able to gain while reading the article.

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 114; Issue 2. A Variational Proof for the Existence of a Conformal Metric with Preassigned Negative Gaussian Curvature for Compact Riemann Surfaces of Genus >1. Rukmini Dey. Erratum Volume 114 Issue 2 May 2004 pp 215-215 ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 4. Issue front cover thumbnail .... On the Affine Isoperimetric Inequalities · Wuyang Yu Gangsong ... On the Existence of Hydrodynamic Instability in Single Diffusive Bottom Heavy Systems with Permeable Boundaries · A K Gupta R G Shandil.

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In the process, we prove an analogue of the well-known Fefferman–Stein's ... Department of Mathematics, Indian Institute of Science Education and ... Manuscript received: 27 October 2015; Manuscript revised: 12 September ... Early published: Unedited version published online: Final version published online: 23 July 2016 ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 2. Issue front cover thumbnail. Volume 123, Issue 2. May 2013, pages 151-302. pp 151- ... Distribution of Residues and Primitive Roots ..... Series Solutions and a Perturbation Formula for the Extended Rayleigh Problem of Hydrodynamic Stability.

  18. Science and mathematics teaching through local games in preschools of Botswana

    Directory of Open Access Journals (Sweden)

    Kabita Bose

    2016-11-01

    Full Text Available This article presents a study regarding preschool teachers’ skills and competencies in teaching science and mathematics. The aim of the project was twofold; one to find out the preschool teachers’ knowledge about mathematics and science concepts and then to develop support material to empower them with skills and competencies to teach these concepts in preschools. A qualitative approach was adopted, and a case study method was used. Data were collected through two workshops and focus group discussions with preschool teachers. The study revealed that the preschool teachers had content knowledge, but lacked pedagogical knowledge that is crucial in teaching of preschool children, and they provided science and mathematics experiences in preschools scarcely. A resource book of 33 local games and rhymes thus was developed as a support material to empower the teachers with skills and competencies to use play to teach science and mathematics in preschools. The resource book developed consists of 33 local games/rhymes and is packaged with the games’ illustrations, steps and rules followed in the games, science and mathematics concepts and competencies that could be taught to children, along with probing questions that would help in teaching of science and mathematics concepts to children.

  19. Statistical reporting inconsistencies in experimental philosophy.

    Science.gov (United States)

    Colombo, Matteo; Duev, Georgi; Nuijten, Michèle B; Sprenger, Jan

    2018-01-01

    Experimental philosophy (x-phi) is a young field of research in the intersection of philosophy and psychology. It aims to make progress on philosophical questions by using experimental methods traditionally associated with the psychological and behavioral sciences, such as null hypothesis significance testing (NHST). Motivated by recent discussions about a methodological crisis in the behavioral sciences, questions have been raised about the methodological standards of x-phi. Here, we focus on one aspect of this question, namely the rate of inconsistencies in statistical reporting. Previous research has examined the extent to which published articles in psychology and other behavioral sciences present statistical inconsistencies in reporting the results of NHST. In this study, we used the R package statcheck to detect statistical inconsistencies in x-phi, and compared rates of inconsistencies in psychology and philosophy. We found that rates of inconsistencies in x-phi are lower than in the psychological and behavioral sciences. From the point of view of statistical reporting consistency, x-phi seems to do no worse, and perhaps even better, than psychological science.

  20. Statistical reporting inconsistencies in experimental philosophy

    Science.gov (United States)

    Colombo, Matteo; Duev, Georgi; Nuijten, Michèle B.; Sprenger, Jan

    2018-01-01

    Experimental philosophy (x-phi) is a young field of research in the intersection of philosophy and psychology. It aims to make progress on philosophical questions by using experimental methods traditionally associated with the psychological and behavioral sciences, such as null hypothesis significance testing (NHST). Motivated by recent discussions about a methodological crisis in the behavioral sciences, questions have been raised about the methodological standards of x-phi. Here, we focus on one aspect of this question, namely the rate of inconsistencies in statistical reporting. Previous research has examined the extent to which published articles in psychology and other behavioral sciences present statistical inconsistencies in reporting the results of NHST. In this study, we used the R package statcheck to detect statistical inconsistencies in x-phi, and compared rates of inconsistencies in psychology and philosophy. We found that rates of inconsistencies in x-phi are lower than in the psychological and behavioral sciences. From the point of view of statistical reporting consistency, x-phi seems to do no worse, and perhaps even better, than psychological science. PMID:29649220

  1. Games unifying logic, language, and philosophy

    CERN Document Server

    Majer, Ondrej; Tulenheimo, Tero

    2008-01-01

    This unique volume presents mathematical game theory as an interface between logic and philosophy. It provides a discussion of various aspects of this interaction, covers new technical results and examines the philosophical insights that these have yielded.

  2. Strengthening programs in science, engineering and mathematics. Third annual progress report

    Energy Technology Data Exchange (ETDEWEB)

    Sandhu, S.S.

    1997-09-30

    The Division of Natural Sciences and Mathematics at Claflin College consists of the Departments of Biology, Chemistry, Computer Science, Physics, Engineering and Mathematics. It offers a variety of major and minor academic programs designed to meet the mission and objectives of the college. The division`s pursuit to achieve excellence in science education is adversely impacted by the poor academic preparation of entering students and the lack of equipment, facilities and research participation, required to impart adequate academic training and laboratory skills to the students. Funds were received from the US Department of Energy to improve the divisional facilities and laboratory equipment and establish mechanism at pre-college and college levels to increase (1) the pool of high school students who will enroll in Science and Mathematics courses (2) the pool of well qualified college freshmen who will seek careers in Science, Engineering and Mathematics (3) the graduation rate in Science,engineering and Mathematics at the undergraduate level and (4) the pool of well-qualified students who can successfully compete to enter the graduate schools of their choice in the fields of science, engineering, and mathematics. The strategies that were used to achieve the mentioned objectives include: (1) Improved Mentoring and Advisement, (2) Summer Science Camp for 7th and 8th graders, (3) Summer Research Internships for Claflin SEM Seniors, (4) Summer Internships for Rising High School Seniors, (5) Development of Mathematical Skills at Pre-college/Post-secondary Levels, (6) Expansion of Undergraduate Seminars, (7) Exposure of Undergraduates to Guest Speakers/Roll Models, (8) Visitations by Undergraduate Students to Graduate Schools, and (9) Expanded Academic Program in Environmental Chemistry.

  3. In search of the soul in science: medical ethics' appropriation of philosophy of science in the 1970s.

    Science.gov (United States)

    Aronova, Elena

    2009-01-01

    This paper examines the deployment of science studies within the field of medical ethics. For a short time, the discourse of medical ethics became a fertile ground for a dialogue between philosophically minded bioethicists and the philosophers of science who responded to Thomas Kuhn's challenge. In their discussion of the validity of Kuhn's work, these bioethicists suggested a distinct interpretation of Kuhn, emphasizing the elements in his account that had been independently developed by Michael Polanyi, and propelling a view of science that retreated from idealizations of scientific method without sacrificing philosophical realism. Appropriating Polanyi, they extended his account of science to biology and medicine. The contribution of Karl Popper to the debate on the applicability of philosophy of science to the issues of medical ethics provides the opportunity to discuss the ways in which political agendas of different epistemologies of science intertwined with questions of concern to medical ethics.

  4. The Mathematical Event: Mapping the Axiomatic and the Problematic in School Mathematics

    Science.gov (United States)

    de Freitas, Elizabeth

    2013-01-01

    Traditional philosophy of mathematics has been concerned with the nature of mathematical objects rather than events. This traditional focus on reified objects is reflected in dominant theories of learning mathematics whereby the learner is meant to acquire familiarity with ideal mathematical objects, such as number, polygon, or tangent. I argue…

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. The Cohomology of Orbit Spaces of Certain Free Circle Group Actions. Hemant Kumar Singh Tej Bahadur Singh.

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem. Author Affiliations. H Hudzik1 Rajeev Kumar2 Romesh Kumar2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 3. On a problem of Pillai with Fibonacci numbers and powers of 2. MAHADI DDAMULIRA FLORIAN LUCA MIHAJA RAKOTOMALALA. Research Article Volume 127 Issue 3 June 2017 pp 411-421 ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 4. Contributions to a conjecture of Mueller and Schmidt on Thue inequalities. N SARADHA DIVYUM SHARMA. Research Article Volume 127 Issue 4 September 2017 pp 565- ...

  9. Gender Representation on Journal Editorial Boards in the Mathematical Sciences

    Science.gov (United States)

    2016-01-01

    We study gender representation on the editorial boards of 435 journals in the mathematical sciences. Women are known to comprise approximately 15% of tenure-stream faculty positions in doctoral-granting mathematical sciences departments in the United States. Compared to this group, we find that 8.9% of the 13067 editorships in our study are held by women. We describe group variations within the editorships by identifying specific journals, subfields, publishers, and countries that significantly exceed or fall short of this average. To enable our study, we develop a semi-automated method for inferring gender that has an estimated accuracy of 97.5%. Our findings provide the first measure of gender distribution on editorial boards in the mathematical sciences, offer insights that suggest future studies in the mathematical sciences, and introduce new methods that enable large-scale studies of gender distribution in other fields. PMID:27536970

  10. Philosophy vs the common sense

    Directory of Open Access Journals (Sweden)

    V. V. Chernyshov

    2017-01-01

    analysis. However, the authentic project of philosophy has not always remained faithful to itself, keeping its self-identity. A considerable part of that which now bears the name of philosophy has rather been an alienation of the original idea. Among these phenomena of the alienated philosophy, for example, we can mention a number of cases: the emergence of the philosophical paideia, political and social engineering, scholastics, and the interpretation of philosophy as a science that can (and should be directed to gaining the ultimate positive result. All these witness the alienation from the authentic philosophical tradition, degrading philosophy to the role of a «servant-maid», which eventually brought to the ultimate rejection and denial of its profundity and its values. Finally, the study considers the place that the Modern philosophy has taken in emergence of the modern and contemporary science. He states that there were a number of efforts – beginning with Rene Descartes – to create a new philosophy not upon the foundations of the love of wisdom, but upon the ones of the common sense. Although philosophers had easily recognised the falsity of this enterprise and had rejected this idea, these efforts did not pass away without effect, having caused the emergence of the modern and contemporary science, recognising as its true basis the common sense rather than any metaphysics.

  11. Mathematics, Physics and Computer Sciences The computation of ...

    African Journals Online (AJOL)

    Mathematics, Physics and Computer Sciences The computation of system matrices for biquadraticsquare finite ... Global Journal of Pure and Applied Sciences ... The computation of system matrices for biquadraticsquare finite elements.

  12. Research in progress in applied mathematics, numerical analysis, and computer science

    Science.gov (United States)

    1990-01-01

    Research conducted at the Institute in Science and Engineering in applied mathematics, numerical analysis, and computer science is summarized. The Institute conducts unclassified basic research in applied mathematics in order to extend and improve problem solving capabilities in science and engineering, particularly in aeronautics and space.

  13. Philosophy of biology: naturalistic or transcendental?

    Science.gov (United States)

    Kolen, Filip; Van de Vijver, Gertrudis

    2007-01-01

    The aim of this article is to clarify the meaning of a naturalistic position within philosophy of biology, against the background of an alternative view, founded on the basic insights of transcendental philosophy. It is argued that the apparently minimal and neutral constraints naturalism imposes on philosophy of science turn out to involve a quite heavily constraining metaphysics, due to the naturalism's fundamental neglect of its own perspective. Because of its intrinsic sensitivity to perspectivity and historicity, transcendental philosophy can avoid this type of hidden metaphysics.

  14. 77 FR 70422 - Agency Information Collection Activities; Comment Request; Mathematics and Science Partnerships...

    Science.gov (United States)

    2012-11-26

    ...; Comment Request; Mathematics and Science Partnerships Program: Annual Performance Report AGENCY: Office of... notice will be considered public records. Title of Collection: Mathematics and Science Partnerships... Mathematics and Science Partnerships (MSP) program is a formula grant program to the States in which states...

  15. 78 FR 37590 - Advisory Committee for Mathematical and Physical Sciences #66; Notice of Meeting

    Science.gov (United States)

    2013-06-21

    ... Science Foundation and to provide advice and recommendations concerning research in mathematics and... NATIONAL SCIENCE FOUNDATION Advisory Committee for Mathematical and Physical Sciences 66; Notice... National Science Foundation announces the following meeting. Name: Advisory Committee for Mathematical and...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 3. Issue front cover thumbnail. Volume 122, Issue 3. August 2012, pages 313-484. pp 313-317. On the Dimension of Chowla–Milnor Space · Tapas Chatterjee · More Details .... Isoperimetric Upper Bounds for the First Eigenvalue · G Santhanam.

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    On some Vongruence with Application to Exponential Sums. Soon-Mo ... Moreover, we introduce an application of the above result to the study of an estimation of exponential sums. Author Affiliations. Soon-Mo Jung1. Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701 Chochiwon, Korea ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Issue front cover thumbnail. Volume 124, Issue 1. February 2014, pages 1-126. pp 1-15. Alexander Duals of Multipermutohedron Ideals · Ajay Kumar Chanchal Kumar · More Details Abstract Fulltext PDF. An Alexander dual of a ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Vector-Valued almost Convergence and Classical Properties in Normed Spaces. A Aizpuru R Armario F J Garcia-Pacheco F J Perez-Fernandez. Volume 124 Issue 1 February 2014 pp 93-108 ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 128; Issue 1. Issue front cover thumbnail. Volume 128, Issue 1. March 2018. Article ID 1 Research Article. Editorial · More Details Abstract Fulltext PDF. Article ID 2 Research Article. On 3-way combinatorial identities · A K AGARWAL MEGHA GOYAL.

  1. Mathematical logic foundations for information science

    CERN Document Server

    Li, Wei

    2014-01-01

    Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds...

  2. Data fabrication and falsification and empiricist philosophy of science.

    Science.gov (United States)

    Resnik, David B

    2014-06-01

    Scientists have rules pertaining to data fabrication and falsification that are enforced with significant punishments, such as loss of funding, termination of employment, or imprisonment. These rules pertain to data that describe observable and unobservable entities. In this commentary I argue that scientists would not adopt rules that impose harsh penalties on researchers for data fabrication or falsification unless they believed that an aim of scientific research is to develop true theories and hypotheses about entities that exist, including unobservable ones. This argument presents a challenge for constructive empiricists, such as van Fraassen. Constructive empiricists need to be able to explain why rules pertaining to data fabrication and falsification do not threaten their philosophy of science.

  3. Feminist philosophy of science: `standpoint' and knowledge

    Science.gov (United States)

    Crasnow, Sharon

    2008-11-01

    Feminist philosophy of science has been criticized on several counts. On the one hand, it is claimed that it results in relativism of the worst sort since the political commitment to feminism is prima facie incompatible with scientific objectivity. On the other hand, when critics acknowledge that there may be some value in work that feminists have done, they comment that there is nothing particularly feminist about their accounts. I argue that both criticisms can be addressed through a better understanding of the current work in feminist epistemology. I offer an examination of standpoint theory as an illustration. Harding and Wylie have suggested ways in which the objectivity question can be addressed. These two accounts together with a third approach, ‘model-based objectivity’, indicate there is a clear sense in which we can understand how a standpoint theory both contributes to a better understanding of scientific knowledge and can provide a feminist epistemology.

  4. Aspects of Mathematical Modelling Applications in Science, Medicine, Economics and Management

    CERN Document Server

    Hosking, Roger J

    2008-01-01

    The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

  5. Goals for the Correlation of Elementary Science and Mathematics; The Report of the Cambridge Conference on the Correlation of Science and Mathematics in Schools.

    Science.gov (United States)

    Cambridge Conference on School Mathematics, Newton, MA.

    This is The Report of the 1967 Cambridge Conference on the Correlation of Science and Mathematics in the Schools. It is addressed to professionals in education, and is designed to stimulate dialogue among them concerning the mathematics-science curriculum. The report is organized in five chapters, each dealing respectively with (1) educational…

  6. Filosofia Theoretica: Journal of African Philosophy, Culture and ...

    African Journals Online (AJOL)

    Filosofia Theoretica Journal of African Philosophy, Culture and Religions, a publication of the Calabar School of Philosophy (CSP) is dedicated to the publication of astute academic research in African Philosophy, Culture, History, Art, Literature, Science, Education and Religions, etc. The articles submitted to Filosofia ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 126; Issue 2. Volume 126, Issue 2. May 2016, pages 143-287. pp 143-151 Research Article. Existence of ..... pp 253-260 Research Article. Rigidity theorem forWillmore surfaces in a sphere · Hongwei Xu Dengyun Yang · More Details Abstract Fulltext PDF.

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Annual Meetings · Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 112; Issue 3. Volume 112, Issue 3. August 2002, pages 367-475. pp 367-382. The Determinant Bundle on the ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 1. Issue front cover thumbnail. Volume 121, Issue 1. February 2011, pages 1-109. pp 1-18. On Counting Twists of a Character Appearing in its Associated Weil Representation · K Vishnu Namboothiri · More Details Abstract Fulltext PDF. Consider an ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 2. Issue front cover thumbnail. Volume 124, Issue 2. May 2014, pages 127-279. pp 127-140. A Statistic on -Color Compositions and Related Sequences · Toufik Mansour Mark Shattuck · More Details Abstract Fulltext PDF. A composition of a ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 2. Issue front cover thumbnail. Volume 122, Issue 2. May 2012, pages 153-311. pp 153-162. Farey Sequences and Resistor Networks · Sameen Ahmed Khan · More Details Abstract Fulltext PDF. In this article, we employ the Farey sequence and ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 1. Issue front cover thumbnail. Volume 123, Issue 1. February 2013, pages 1-150. pp 1-18. Divisibility of Class Numbers of Imaginary Quadratic Function Fields by a Fixed Odd Number · Pradipto Banerjee Srinivas Kotyada · More Details Abstract ...

  13. Redefining ecological ethics: science, policy, and philosophy at Cape Horn.

    Science.gov (United States)

    Frodeman, Robert

    2008-12-01

    In the twentieth century, philosophy (especially within the United States) embraced the notion of disciplinary expertise: philosophical research consists of working with and writing for other philosophers. Projects that involve non-philosophers earn the deprecating title of "applied" philosophy. The University of North Texas (UNT) doctoral program in philosophy exemplifies the possibility of a new model for philosophy, where graduate students are trained in academic philosophy and in how to work with scientists, engineers, and policy makers. This "field" (rather than "applied") approach emphasizes the inter- and transdisciplinary nature of the philosophical enterprise where theory and practice dialectically inform one another. UNT's field station in philosophy at Cape Horn, Patagonia, Chile is one site for developing this ongoing experiment in the theory and practice of interdisciplinary philosophic research and education.

  14. The re-appreciation of the humanities in contemporary philosophy of science: From recognition to exaggeration?

    Directory of Open Access Journals (Sweden)

    Renato Coletto

    2013-06-01

    Full Text Available In the course of the centuries, the ‘reputation’ and status attributed to the humanities underwent different phases. One of their lowest moments can be traced during the positivist period. This article explored the reasons underlying the gradual re-evaluation of the scientific status and relevance of the humanities in the philosophy of science of the 20th century. On the basis of a historical analysis it was argued that on the one hand such recognition is positive because it abolishes an unjustified prejudice that restricted the status of ‘science’ to the natural sciences. On the other hand it was argued that the reasons behind such recognition might not always be sound and may be inspired by (and lead to a certain relativism harbouring undesired consequences. In the final part of this article (dedicated to Prof. J.J. [Ponti] Venter a brief ‘postscript’ sketched his evaluation of the role of philosophy.

  15. A comparison of 17 author-level bibliometric indicators for researchers in Astronomy, Environmental Science, Philosophy and Public Health in Web of Science and Google Scholar

    DEFF Research Database (Denmark)

    Wildgaard, Lorna Elizabeth

    2015-01-01

    were calculated for 512 researchers in Astronomy, Environmental Science, Philosophy and Public Health. Indicator scores and scholar rankings calculated in Web of Science (WoS) and Google Scholar (GS) were analyzed. The indexing policies of WoS and GS were found to have a direct effect on the amount...

  16. An outline of object-oriented philosophy.

    Science.gov (United States)

    Harman, Graham

    2013-01-01

    This article summarises the principles of object-oriented philosophy and explains its similarities with, and differences from, the outlook of the natural sciences. Like science, the object-oriented position avoids the notion (quite common in philosophy) that the human-world relation is the ground of all others, such that scientific statements about the world would only be statements about the world as it is for humans. But unlike science, object-oriented metaphysics treats artificial, social, and fictional entities in the same way as natural ones, and also holds that the world can only be known allusively rather than directly.

  17. Teaching Mathematical Modelling for Earth Sciences via Case Studies

    Science.gov (United States)

    Yang, Xin-She

    2010-05-01

    Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).

  18. Expanding Comparative Literature into Comparative Sciences Clusters with Neutrosophy and Quad-stage Method

    Directory of Open Access Journals (Sweden)

    Fu Yuhua

    2016-08-01

    Full Text Available By using Neutrosophy and Quad-stage Method, the expansions of comparative literature include: comparative social sciences clusters, comparative natural sciences clusters, comparative interdisciplinary sciences clusters, and so on. Among them, comparative social sciences clusters include: comparative literature, comparative history, comparative philosophy, and so on; comparative natural sciences clusters include: comparative mathematics, comparative physics, comparative chemistry, comparative medicine, comparative biology, and so on.

  19. Information for Authors | Proceedings – Mathematical Sciences ...

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Information for Authors ... 4 to 6 November 2016 at Indian Institute of Science Education and Research, Bhopal. ... Focus Area Science Technology Summer Fellowship (FAST-SF).

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 1. Issue front cover thumbnail. Volume 120, Issue 1. February 2010, pages 1-130. pp 1-6. On the General Dedekind Sums and its Reciprocity Formula · Yuan Yi · More Details Abstract Fulltext PDF. In this paper, we prove an interesting reciprocity ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 3. Issue front cover thumbnail. Volume 118, Issue 3. August 2008, pages 321-494. pp 321-350. Sharp Bounds on the Ranks of Negativity of Certain Sums · Torben Maack Bisgaard · More Details Abstract Fulltext PDF. If is a complex vector space ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2. Issue front cover thumbnail. Volume 118, Issue 2. May 2008, pages 159-320. pp 159-160. Note on Plagiarism · Gadadhar Misra N Mukunda · More Details Fulltext PDF. pp 161-182 Invited Article. Large Deviations: An Introduction to 2007 Abel ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 3. Volume 113, Issue 3. August 2003, pages 213-353. pp 213-221. Analogues of Euler and Poisson Summation Formulae · Vivek V Rane · More Details Abstract Fulltext PDF. Euler–Maclaurin and Poisson analogues of the summations ∑ a < n ≤ b ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 2. Issue front cover thumbnail. Volume 117, Issue 2. May 2007, pages 147-285. pp 147-158. A Variant of Davenport's Constant · R Thangadurai · More Details Abstract Fulltext PDF. Let be a prime number. Let be a finite abelian -group of ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 1. Issue front cover thumbnail. Volume 118, Issue 1. February 2008, pages 1-157. pp 1-11. On Automorphisms of some Finite -Groups · Manoj K Yadav · More Details Abstract Fulltext PDF. We give a sufficient condition on a finite -group of ...

  6. Personal and Shared Experiences as Resources for Meaning Making in a Philosophy of Science Course

    Science.gov (United States)

    Arvaja, Maarit

    2012-01-01

    The aim of this case study was to explore health-education students' personal and collaborative meaning making activities during an online science philosophy course in the higher-education context. Through applying the dialogical perspective for learning, the focus was on studying how different contextual resources were used in building…

  7. Geometrical objects architecture and the mathematical sciences 1400-1800

    CERN Document Server

    2014-01-01

    This volume explores the mathematical character of architectural practice in diverse pre- and early modern contexts. It takes an explicitly interdisciplinary approach, which unites scholarship in early modern architecture with recent work in the history of science, in particular, on the role of practice in the scientific revolution. As a contribution to architectural history, the volume contextualizes design and construction in terms of contemporary mathematical knowledge, attendant forms of mathematical practice, and relevant social distinctions between the mathematical professions. As a contribution to the history of science, the volume presents a series of micro-historical studies that highlight issues of process, materiality, and knowledge production in specific, situated, practical contexts. Our approach sees the designer’s studio, the stone-yard, the drawing floor, and construction site not merely as places where the architectural object takes shape, but where mathematical knowledge itself is depl...

  8. Qualitative mathematics for the social sciences mathematical models for research on cultural dynamics

    CERN Document Server

    Rudolph, Lee

    2012-01-01

    In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics. Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, in

  9. Mathematics and Computer Science: Exploring a Symbiotic Relationship

    Science.gov (United States)

    Bravaco, Ralph; Simonson, Shai

    2004-01-01

    This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…

  10. African Journal of Educational Studies in Mathematics and Sciences ...

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences. ... on senior high school students' proficiency in solving linear equation word problems ... from parents and teachers' influence on students' mathematics-related self-beliefs ...

  11. Texas Academy of Mathematics and Science: 25 Years of Early College STEM Opportunities

    Science.gov (United States)

    Sayler, Michael F.

    2015-01-01

    The University of North Texas's Texas Academy of Mathematics and Science began admitting students to its 2-year early college entrance science, technology, engineering, and mathematics (STEM) program in the fall of 1988. This program provided accelerated entry for top students in Texas in the areas of mathematics and science. Approximately 200…

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 125; Issue 2. Issue front cover thumbnail. Volume 125, Issue 2. May 2015, pages 139-270. pp 139-147. On Erdős–Wood's conjecture · S Subburam R Thangadurai · More Details Abstract Fulltext PDF. In this article, we prove that infinite number of integers ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 3. Issue front cover thumbnail. Volume 119, Issue 3. June 2009, pages 267-410. pp 267-274. A Finer Classification of the Unit Sum Number of the Ring of Integers of Quadratic Fields and Complex Cubic Fields · Nahid Ashrafi · More Details Abstract ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 3. Issue front cover thumbnail. Volume 117, Issue 3. August 2007, pages 287-427. pp 287-292. On the Cohomology of Orbit Space of Free Z Z p -Actions on Lens Spaces · Hemant Kumar Singh Tej Bahadur Singh · More Details Abstract Fulltext PDF.

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 1. Issue front cover thumbnail. Volume 119, Issue 1. February 2009, pages 1-135. pp 1-7. On an Extension of a Combinatorial Identity · M Rana A K Agarwal · More Details Abstract Fulltext PDF. Using Frobenius partitions we extend the main results ...

  16. A mathematical approach to research problems of science and technology theoretical basis and developments in mathematical modeling

    CERN Document Server

    Ei, Shin-ichiro; Koiso, Miyuki; Ochiai, Hiroyuki; Okada, Kanzo; Saito, Shingo; Shirai, Tomoyuki

    2014-01-01

    This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

  17. The Influence of Reading Literacy on Mathematics and Science Achievement

    Science.gov (United States)

    Caponera, Elisa; Sestito, Paolo; Russo, Paolo M.

    2016-01-01

    The aim of this study was to evaluate the influence of students' reading literacy, measured by the PIRLS (Progress in International Reading Literacy Study) test, on their performance in the TIMSS (Trends in International Mathematics and Science Study) mathematics and science tests. The data on 4,125 Italian students from 199 schools were analyzed:…

  18. Substance and Dynamics: Two Elements of Aristotelian-Thomistic Philosophy of Nature in the Foundation of Mathematics in Physics

    Directory of Open Access Journals (Sweden)

    Rudolf Larenz

    2017-09-01

    Full Text Available The article aims at proposing a way of solution to the problem why mathematics is efficient in physics. Its strategy consists in, first, identifying servere reductionisms performed on physical processes in order to have them correspond to mathematics. As this makes it impossible to understand the real relationship between matter and mathematics, a necessary step on the way to an understanding is to abandon the reductionisms from the very outset. Consequently, one is faced with the need of searching for mathematical elements in nature, as if there never had been any successful mathematics in physics. And for this search, one has to rely on experience alone. To this end, the article takes its inspiration from two pillars of Aristotelian philosophy of nature, the notions of ‘substance’ and ‘dynamics’, together with a careful examination of the treasure of accumulated experience in physics. Upon this basis, the hylomorphic structure of elementary particles, which are considered to be at the basis of all material substances, is the source for the most common features of the dynamical order of material things in general. This dynamical order, in turn, is quite likely to be reflected in mathematical terms. This is a novel approach because, at present, the most common framework for dealing with the question of mathematics in physics is Scientific Realism. It addresses the question why the existent physico-mathematical theories are successful. In order to find an answer, it starts from these theories and some methodological considerations, but does not address the question of where these theories stem from. In particular, it does not consider the possibility that these theories might, at least in part, stem from the material things they are referring to. The latter approach is what is suggested here. It is that of Natural Realism, of which Aristotle is an eminent representative.

  19. Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.

    Science.gov (United States)

    White, Jennifer Meux; Hosoume, Kimi

    The Lawrence Hall of Science (LHS), University of California at Berkeley has completed a 3-year project to develop a science and mathematics education course and science curriculum for early childhood educators. This project was in response to the need for improving the science and mathematics knowledge and teaching skills of adults who work with…

  20. The argument of mathematics

    CERN Document Server

    Aberdein, Andrew

    2014-01-01

    This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification.

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 1. Volume 116, Issue 1. February 2006, pages 1-119. pp 1-8 .... in probability but for which no r.c.l.l. solution exists. pp 97-119. Formulation of the Problem of Sonic Boom by a Maneuvering Aerofoil as a One-Parameter Family of Cauchy Problems.

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 2. Issue front cover thumbnail. Volume 120, Issue 2. April 2010, pages 131-258. pp 131-137. Integral Inequalities for Self-Reciprocal Polynomials · Horst Alzer · More Details Abstract Fulltext PDF. Let n ≥ 1 be an integer and let P n be the class of ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 2. On the Local ... Let be a local field with finite residue class field k K . We first define (cf. Definition ..... We then discuss the application of Theorem 1.2 on a problem posed by Weil on the construction of a `natural' A G of over C (Problem 1.3).

  4. Teaching of Mathematics and Science in English: The Teachers' Voices

    Science.gov (United States)

    Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman

    2009-01-01

    The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…

  5. Survey of Mathematics and Science Requirements for Production-Oriented Agronomy Majors.

    Science.gov (United States)

    Aide, Michael; Terry, Danny

    1996-01-01

    Analyzes course requirements to determine the amount of required mathematics and science for production-oriented agronomy majors. Reports that mathematics requirements center around college algebra and statistics; science requirements generally include chemistry, biology, plant physiology, and genetics; and land-grant institutions have a…

  6. Relationship between affect and achievement in science and mathematics in Malaysia and Singapore

    Science.gov (United States)

    Thoe Ng, Khar; Fah Lay, Yoon; Areepattamannil, Shaljan; Treagust, David F.; Chandrasegaran, A. L.

    2012-11-01

    Background : The Trends in International Mathematics and Science Study (TIMSS) assesses the quality of the teaching and learning of science and mathematics among Grades 4 and 8 students across participating countries. Purpose : This study explored the relationship between positive affect towards science and mathematics and achievement in science and mathematics among Malaysian and Singaporean Grade 8 students. Sample : In total, 4466 Malaysia students and 4599 Singaporean students from Grade 8 who participated in TIMSS 2007 were involved in this study. Design and method : Students' achievement scores on eight items in the survey instrument that were reported in TIMSS 2007 were used as the dependent variable in the analysis. Students' scores on four items in the TIMSS 2007 survey instrument pertaining to students' affect towards science and mathematics together with students' gender, language spoken at home and parental education were used as the independent variables. Results : Positive affect towards science and mathematics indicated statistically significant predictive effects on achievement in the two subjects for both Malaysian and Singaporean Grade 8 students. There were statistically significant predictive effects on mathematics achievement for the students' gender, language spoken at home and parental education for both Malaysian and Singaporean students, with R 2 = 0.18 and 0.21, respectively. However, only parental education showed statistically significant predictive effects on science achievement for both countries. For Singapore, language spoken at home also demonstrated statistically significant predictive effects on science achievement, whereas gender did not. For Malaysia, neither gender nor language spoken at home had statistically significant predictive effects on science achievement. Conclusions : It is important for educators to consider implementing self-concept enhancement intervention programmes by incorporating 'affect' components of academic

  7. A brief history of the philosophy of time

    CERN Document Server

    Bardon, Adrian

    2013-01-01

    Adrian Bardon's A Brief History of the Philosophy of Time is a short introduction to the history, philosophy, and science of the study of time-from the pre-Socratic philosophers through Einstein and beyond. A Brief History of the Philosophy of Time covers subjects such as time and change, the experience of time, physical and metaphysical approaches to the nature of time, the direction of time, time travel, time and freedom of the will, and scientific and philosophical approaches to eternity and the beginning of time. Bardon employs helpful illustrations and keeps technical language to a minimum in bringing the resources of over 2500 years of philosophy and science to bear on some of humanity's most fundamental and enduring questions.

  8. Integrating Mathematics, Science, and Language Arts Instruction Using the World Wide Web.

    Science.gov (United States)

    Clark, Kenneth; Hosticka, Alice; Kent, Judi; Browne, Ron

    1998-01-01

    Addresses issues of access to World Wide Web sites, mathematics and science content-resources available on the Web, and methods for integrating mathematics, science, and language arts instruction. (Author/ASK)

  9. Philosophy, computing and information science

    CERN Document Server

    Hagengruber, Ruth

    2014-01-01

    Over the last four decades computers and the internet have become an intrinsic part of all our lives, but this speed of development has left related philosophical enquiry behind. Featuring the work of computer scientists and philosophers, these essays provide an overview of an exciting new area of philosophy that is still taking shape.

  10. The mathematical works of Bernard Bolzano

    CERN Document Server

    Russ, Steve

    2004-01-01

    Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. - ;Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic,

  11. Being qua becoming: Aristotle's "Metaphysics", quantum physics, and Process Philosophy

    Science.gov (United States)

    Johnson, David Kelley

    In Aristotle's First Philosophy, science and philosophy were partners, but with the rise of empiricism, went their separate ways. Metaphysics combined the rational and irrational (i.e. final cause/unmoved mover) elements of existence to equate being with substance, postulating prime matter as pure potential that was actuated by form to create everything. Modern science reveres pure reason and postulates its theory of being by a rigorous scientific methodology. The Standard Model defines matter as energy formed into fundamental particles via forces contained in fields. Science has proved Aristotle's universe wrong in many ways, but as physics delves deeper into the quantum world, empiricism is reaching its limits concerning fundamental questions of existence. To achieve its avowed mission of explaining existence completely, physics must reunite with philosophy in a metascience modeled on the First Philosophy of Aristotle. One theory of being that integrates quantum physics and metaphysics is Process Philosophy.

  12. Commonly Shared Foundation of Mathematics, Information Science, Natural Science, Social Science, and Theology

    OpenAIRE

    Wayne, James J.

    2014-01-01

    Through a simple thought experiment, this paper shows that there must be a shared foundation of mathematics, information science, natural science, social science, and theology. The thought experiment is to ask a volunteer to write down an arbitrary real number between 0 and 1 with many digits. For example, 0.19823765010367129462…. would be one of such numbers. Then we analyze this experiment result by asking five simple questions: Is the real number a random real? Can the observed real numbe...

  13. The pragmatics of mathematics education vagueness and mathematical discourse

    CERN Document Server

    Rowland, Tim

    2003-01-01

    Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

  14. CDM: Teaching Discrete Mathematics to Computer Science Majors

    Science.gov (United States)

    Sutner, Klaus

    2005-01-01

    CDM, for computational discrete mathematics, is a course that attempts to teach a number of topics in discrete mathematics to computer science majors. The course abandons the classical definition-theorem-proof model, and instead relies heavily on computation as a source of motivation and also for experimentation and illustration. The emphasis on…

  15. Bruteau's philosophy of spiritual evolution and consciousness: foundation for a nursing cosmology.

    Science.gov (United States)

    McCarthy, M Patrice

    2011-01-01

    The ontological foundation of the modern world view based on irreconcilable dichotomies has held hegemonic status since the dawn of the scientific revolution. The post-modern critique has exposed the inadequacies of the modern perspective and challenged the potential for any narrative to adequately ground a vision for the future. This paper proposes that the philosophy of Beatrice Bruteau can support a foundation for a visionary world view consistent with nursing's respect for human dignity and societal health. The author discusses the key concepts of Bruteau's perspective on societal evolution based on an integrated study of science, mathematics, religion, and philosophy. This perspective is discussed as a foundation to move beyond the dichotomous influence of the modern world view and the deconstructive critique of the post-modern perspective. The author suggests spiritual evolution and a participatory consciousness as an ontological foundation for a cosmology congruent with nursing's social mandate. © 2010 Blackwell Publishing Ltd.

  16. Philosophy Rediscovered: Exploring the Connections between Teaching Philosophies, Educational Philosophies, and Philosophy

    Science.gov (United States)

    Beatty, Joy E.; Leigh, Jennifer S. A.; Dean, Kathy Lund

    2009-01-01

    Teaching philosophy statements reflect our personal values, connect us to those with shared values in the larger teaching community, and inform our classroom practices. In this article, we explore the often-overlooked foundations of teaching philosophies, specifically philosophy and historical educational philosophies. We review three elements of…

  17. A Network for Integrated Science and Mathematics Teaching and Learning Conference Plenary Papers. NSF/SSMA Wingspread Conference (Racine, Wisconsin, April 1991). School Science and Mathematics Association Topics for Teachers Series Number 7.

    Science.gov (United States)

    Berlin, Donna F., Ed.

    The integration of mathematics and science is not a new concept. However, during recent years it has been a major focus in education reform. A Wingspread conference promoted discussion regarding the integration of mathematics and science and explored ways to improve science and mathematics education in grades K-12. Papers from the conference…

  18. Science and Mathematics Teachers' Experiences, Needs, and Expectations regarding Professional Development

    Science.gov (United States)

    Chval, Kathryn; Abell, Sandra; Pareja, Enrique; Musikul, Kusalin; Ritzka, Gerard

    2008-01-01

    High quality teachers are essential to improving the teaching and learning of mathematics and science, necessitating effective professional development (PD) and learning environments for teachers. However, many PD programs for science and mathematics teachers fall short because they fail to consider teacher background, experience, knowledge,…

  19. The History and Philosophy of Science in Physics Teaching: A Research Synthesis of Didactic Interventions

    Science.gov (United States)

    Teixeira, Elder Sales; Greca, Ileana Maria; Freire, Olival, Jr.

    2012-01-01

    This work is a systematic review of studies that investigate teaching experiences applying History and Philosophy of Science (HPS) in physics classrooms, with the aim of obtaining critical and reliable information on this subject. After a careful process of selection and exclusion of studies compiled from a variety of databases, an in-depth review…

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. Issue front cover thumbnail. Volume 122, Issue 1. February 2012, pages 1-152. pp 1-13. On a Paper of S S Pillai · M Ram Murty R Thangadurai · More Details Abstract Fulltext PDF. In 1935, Erdös proved that all natural numbers can be written as ...

  1. International Conference on Applied Mathematics, Modeling and Computational Science & Annual meeting of the Canadian Applied and Industrial Mathematics

    CERN Document Server

    Bélair, Jacques; Kunze, Herb; Makarov, Roman; Melnik, Roderick; Spiteri, Raymond J

    2016-01-01

    Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science a...

  2. MST 1: Proceedings of a conference on the integration of mathematics, science and technology in precollege education

    Energy Technology Data Exchange (ETDEWEB)

    Swyler, K. [ed.

    1995-11-01

    Example MST activities examined here show: (1) an inquiry-driven learning stimulus, involving (2) the synthesis of concepts in math, science and technology, through (3) the application of the scientific method and engineering problem solving/test protocols, and provoking (4) a stimulus for further exploration. A semi-exploratory learning approach offered background aimed at enabling participants to take meaningful courses of investigation; this approach must be balanced by maintaining contact with framework content standards. On the whole, the philosophy underlying the MST learning approach--as envisioned in the draft NYS Framework, and embodied in the example activities--is strongly endorsed. This endorsement is broad-based: those represented include teachers of mathematics, science, and technology, and school district administrators--in roughly equal numbers. Discussion centers not on whether the MST approach should be pursued, but on what is involved in doing it. Teams of conference participants were given time to plan or extend MST initiatives in their own districts. Outlines of the initiatives proposed by ten of the teams are disseminated herein.

  3. The reasonable effectiveness of mathematics in the natural sciences

    Science.gov (United States)

    Harvey, Alex

    2011-12-01

    Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism—mathematics exists and is discovered; Logicism—all mathematics may be deduced through pure logic; Formalism—mathematics is just the manipulation of formulas and rules invented for the purpose; Intuitionism—mathematics comprises mental constructs governed by self evident rules. The debate among the several schools has major importance in understanding what Eugene Wigner called, The Unreasonable Effectiveness of Mathematics in the Natural Sciences. In return, this `Unreasonable Effectiveness' suggests a possible resolution of the debate in favor of Realism. The crucial element is the extraordinary predictive capacity of mathematical structures descriptive of physical theories.

  4. Postmodernism: Philosophy of Education

    Directory of Open Access Journals (Sweden)

    Oleg Bazaluk

    2015-07-01

    Full Text Available The subject of the research is the philosophy of education and its reflection on the educational process. Based on the analysis of predecessors’ works the author presented the new structure of the philosophy of education which enriches the understanding of its subject, targets and methods of research. The author presented the philosophy of education as a pyramid, the base of which are generalizing the situation of man as a subject andobject of research accumulated in the philosophical anthropology. The first level of the pyramid takes psychology as a science which studies the origin, development and functioning of the psyche. Pedagogy crowns the “pyramid”. The author used the dialectical, system-structural, structural-functional method, as well as methods of comparison, analysis and synthesis. The main conclusion of the study is to prove that the philosophy of education in their new understanding is not only a theoretical understanding of basics and demonstrations of the educational process, but also a practice, the direct embodiment of the theoretical developments in the education in the everyday life. Using historical and philosophical analysis, the author shows that the philosophy of education does not just depend on the state of social philosophy (and philosophy in general, but also through its methodological apparatus it realizes the established philosophical (ideological paradigm in the different pedagogical practices.

  5. Physics, Computer Science and Mathematics Division annual report, 1 January-31 December 1983

    Energy Technology Data Exchange (ETDEWEB)

    Jackson, J.D.

    1984-08-01

    This report summarizes the research performed in the Physics, Computer Science and Mathematics Division of the Lawrence Berkeley Laboratory during calendar year 1983. The major activity of the Division is research in high-energy physics, both experimental and theoretical, and research and development in associated technologies. A smaller, but still significant, program is in computer science and applied mathematics. During 1983 there were approximately 160 people in the Division active in or supporting high-energy physics research, including about 40 graduate students. In computer science and mathematics, the total staff, including students and faculty, was roughly 50. Because of the creation in late 1983 of a Computing Division at LBL and the transfer of the Computer Science activities to the new Division, this annual report is the last from the Physics, Computer Science and Mathematics Division. In December 1983 the Division reverted to its historic name, the Physics Division. Its future annual reports will document high energy physics activities and also those of its Mathematics Department.

  6. Physics, Computer Science and Mathematics Division annual report, 1 January-31 December 1983

    International Nuclear Information System (INIS)

    Jackson, J.D.

    1984-08-01

    This report summarizes the research performed in the Physics, Computer Science and Mathematics Division of the Lawrence Berkeley Laboratory during calendar year 1983. The major activity of the Division is research in high-energy physics, both experimental and theoretical, and research and development in associated technologies. A smaller, but still significant, program is in computer science and applied mathematics. During 1983 there were approximately 160 people in the Division active in or supporting high-energy physics research, including about 40 graduate students. In computer science and mathematics, the total staff, including students and faculty, was roughly 50. Because of the creation in late 1983 of a Computing Division at LBL and the transfer of the Computer Science activities to the new Division, this annual report is the last from the Physics, Computer Science and Mathematics Division. In December 1983 the Division reverted to its historic name, the Physics Division. Its future annual reports will document high energy physics activities and also those of its Mathematics Department

  7. Research in Applied Mathematics, Fluid Mechanics and Computer Science

    Science.gov (United States)

    1999-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1998 through March 31, 1999.

  8. History and Philosophy of Science as a Guide to Understanding Nature of Science

    Directory of Open Access Journals (Sweden)

    Mansoor Niaz

    2016-06-01

    Full Text Available Nature of science (NOS is considered to be a controversial topic by historians, philosophers of science and science educators. It is paradoxical that we all teach science and still have difficulties in understanding what science is and how it develops and progresses. A major obstacle in understanding NOS is that science is primarily ‘unnatural’, that is it cannot be learned by a simple observation of phenomena. In most parts of the world history and philosophy of science are ‘inside’ science content and as such can guide our understanding of NOS. However, some science educators consider the ‘historical turn’ as dated and hence neglect the historical approach and instead emphasize the model based naturalist view of science. The objective of this presentation is to show that the historical approach is very much a part of teaching science and actually complements naturalism. Understanding NOS generally requires two aspects of science: Domain general and domain specific. In the classroom this can be illustrated by discussing the atomic models developed in the early 20th century which constitute the domain specific aspect of NOS. This can then lead to an understanding of the tentative nature of science that is a domain general aspect of NOS. A review of the literature in science education reveals three views (among others of understanding NOS: a Consensus view: It attempts to include only those domain-general NOS aspects that are the least controversial (Lederman, Abd-El-Khalick; b Family resemblance view: Based on the ideas of Wittgenstein, this view promotes science as a cognitive system (Irzik, Nola; c Integrated view: this view postulates that both domain general and domain specific aspects of NOS are not dichotomous but rather need to be integrated and are essential if we want students to understand ‘science in the making’ (Niaz. The following framework helps to facilitate integration: i Elaboration of a theoretical framework

  9. William Whewell's philosophy of architecture and the historicization of biology.

    Science.gov (United States)

    Quinn, Aleta

    2016-10-01

    William Whewell's work on historical science has received some attention from historians and philosophers of science. Whewell's own work on the history of German Gothic church architecture has been touched on within the context of the history of architecture. To a large extent these discussions have been conducted separately. I argue that Whewell intended his work on Gothic architecture as an attempt to (help) found a science of historical architecture, as an exemplar of historical science. I proceed by analyzing the key features of Whewell's philosophy of historical science. I then show how his architectural history exemplifies this philosophy. Finally, I show how Whewell's philosophy of historical science matches some developments in a science (biological systematics) that, in the mid-to late-nineteenth century, came to be reinterpreted as a historical science. I comment briefly on Whewell as a potential influence on nineteenth century biology and in particular on Darwin. Copyright © 2016 Elsevier Ltd. All rights reserved.

  10. [National Academies' Board on Mathematical Sciences and their Application] Final technical report

    Energy Technology Data Exchange (ETDEWEB)

    Scott T. Weidman

    2005-01-11

    The National Academies' Board on Mathematical Sciences and their Applications (BMSA) is a primary interface between the research enterprise and federal agencies that rely on the mathematical sciences. The Board provides objective and authoritative advice on how best to apply the tools of mathematics, statistics, operations research, financial engineering, computational modeling, computational science, information analysis, and decision analysis to practical problems of national importance. In so doing, the Board strengthens the policy-making process and increases the visibility of, and appreciation for, the mathematical sciences while also identifying growth areas for the discipline. The Board consists of 18 pro bono experts from a broad range of quantitative fields, with experience in academia, industry, and national laboratories.

  11. Modern Western Concepts of Philosophy of Education

    Directory of Open Access Journals (Sweden)

    K. A. Ivanova

    2017-08-01

    Full Text Available The philosophy of education is represented by a wide range of concepts and approaches. The basic concepts of the philosophy of education can be divided into 4 groups according to the «pure» philosophical systems: realism, idealism, pragmatism, existentialism. Among the goals of the philosophy of education as an independent science are: stimulation, analysis, ordering, research. The delineation of the concept of education and the notion of school education are an important aspect in formulating the goals of the philosophy of education. A significant place in the process of finding and setting the goals of the philosophy of education is occupied by an alternative: discipline of mind or discipline of knowledge? It is worth paying attention to the goals of the modern Western philosophy of education: training for the formation of character, training for personal growth and success, training for the development and refinement of aesthetic predispositions, etc. Within the frameworks of the American philosophy of education, three main directions were formed: empiricism, rationalism, naturalism. According to the approach of the empiricists, education is the main factor, influencing human existence, which stimulates human activity, forms the person’s abilities and character. Rationalists introduced the idea of «self-alienation» as the most important for the philosophy of education. «Self-alienation» is a transition of a student from one stage of training to another one under the supervision of a teacher, when human mind becomes an object of his own attention. At the last stage of the student’s intellectual development, discovery of universals, laws and principles takes place. According to naturalists’ concept, the conclusions of scientific study of nature should be understood not as a testimony of truth, but as working hypotheses for further investigation. Scientific discoveries should be discoveries for education. Modern educational systems

  12. History, Philosophy and Sociology of Science in Science Education: Results from the Third International Mathematics and Science Study

    Science.gov (United States)

    Wang, Hsingchi A.; Sshmidt, William H.

    Throughout the history of enhancing the public scientific literacy, researchers have postulated that since every citizen is expected to have informal opinions on the relationships among government, education, and issues of scientific research and development, it is imperative that appreciation of the past complexities of science and society and the nature of scientific knowledge be a part of the education of both scientists and non-scientists. HPSS inclusion has been found to be an effective way to reach the goal of enhancing science literacy for all citizens. Although reports stated that HPSS inclusion is not a new educational practice in other part of the world, nevertheless, no large scale study has ever been attempted to report the HPSS educational conditions around the world. This study utilizes the rich data collected by TIMSS to unveil the current conditions of HPSS in the science education of about forty TIMSS countries. Based on the analysis results, recommendations to science educators of the world are provided.

  13. Relocating the history of science essays in honor of Kostas Gavroglu

    CERN Document Server

    Renn, Jurgen; Simoes, Ana

    2015-01-01

    This volume is put together in honor of a distinguished historian of science, Kostas Gavroglu, whose work has won international acclaim, and has been pivotal in establishing the discipline of history of science in Greece, its consolidation in other countries of the European Periphery, and the constructive dialogue of these emerging communities with an extended community of international scholars. The papers in the volume reflect Gavroglu’s broad range of intellectual interests and touch upon significant themes in recent history and philosophy of science. They include topics in the history of modern physical sciences, science and technology in the European periphery, integrated history and philosophy of science, historiographical considerations, and intersections with the history of mathematics, technology and contemporary issues. They are authored by eminent scholars whose academic and personal trajectories crossed with Gavroglu’s. The book will interest historians and philosophers of science and techno...

  14. The Gender-Equality Paradox in Science, Technology, Engineering, and Mathematics Education.

    OpenAIRE

    Stoet, G; Geary, DC

    2018-01-01

    The underrepresentation of girls and women in science, technology, engineering, and mathematics (STEM) fields is a continual concern for social scientists and policymakers. Using an international database on adolescent achievement in science, mathematics, and reading ( N = 472,242), we showed that girls performed similarly to or better than boys in science in two of every three countries, and in nearly all countries, more girls appeared capable of college-level STEM study than had enrolled. P...

  15. History of mathematics and history of science

    OpenAIRE

    Mann, Tony

    2011-01-01

    This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic\\ud careers open to practitioners have had a profoun...

  16. Biology, Philosophy, and Scientific Method.

    Science.gov (United States)

    Hill, L.

    1985-01-01

    The limits of falsification are discussed and the historically based models of science described by Lakatos and Kuhn are shown to offer greater insights into the practice of science. The theory of natural selection is used to relate biology to philosophy and scientific method. (Author/JN)

  17. Enhancing student engagement to positively impact mathematics anxiety, confidence and achievement for interdisciplinary science subjects

    Science.gov (United States)

    Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.

    2017-11-01

    Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to negative emotions like high mathematical anxiety and low mathematical confidence. Here, we present a theoretical framework that investigates linkages between student engagement, mathematical anxiety, mathematical confidence, student achievement and subject mastery. We implement this framework in a large, first-year interdisciplinary science subject and monitor its impact over several years from 2010 to 2015. The implementation of the framework coincided with an easing of anxiety and enhanced confidence, as well as higher student satisfaction, retention and achievement. The framework offers interdisciplinary science educators greater flexibility and confidence in their approach to designing and delivering subjects that rely on mathematical concepts and practices.

  18. Opinions of Secondary School Science and Mathematics Teachers on STEM Education

    Science.gov (United States)

    Yildirim, Bekir; Türk, Cumhur

    2018-01-01

    In this study, the opinions of middle school science teachers and mathematics teachers towards STEM education were examined. The research was carried out for 30 hours with 28 middle school science and mathematics teachers who were working in Istanbul during the spring semester of 2016-2017 academic year. 75% of these teachers are female teachers…

  19. The Preschool Rating Instrument for Science and Mathematics (PRISM)

    Science.gov (United States)

    Brenneman, Kimberly; Stevenson-Garcia, Judi; Jung, Kwanghee; Frede, Ellen

    2011-01-01

    Until recently, few valid and reliable assessments were available to measure young children's mathematics and science learning in a "comprehensive" way. Now, a number of mathematics assessments have been developed and subjected to testing (Klein, Starkey, & Wakeley, 2000; Ginsburg, 2008; Clements & Sarama, 2008), and progress has…

  20. Environmental philosophy: from theory to practice.

    Science.gov (United States)

    Sarkar, Sahotra

    2014-03-01

    Environmental philosophy is a hybrid discipline drawing extensively from epistemology, ethics, and philosophy of science and analyzing disciplines such as conservation biology, restoration ecology, sustainability studies, and political ecology. The book being discussed both provides an overview of environmental philosophy and develops an anthropocentric framework for it. That framework treats natural values as deep cultural values. Tradeoffs between natural values are analyzed using decision theory to the extent possible, leaving many interesting question for philosophical deliberation. This framework is supposed to be applicable in practical contexts. Copyright © 2013 Elsevier Ltd. All rights reserved.

  1. A Mathematical Sciences Program at an Upper-Division Campus.

    Science.gov (United States)

    Swetz, Frank J.

    1978-01-01

    The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)

  2. Philosophy of medicine 2017: reviewing the situation.

    Science.gov (United States)

    Daly, Patrick

    2017-12-01

    In this introduction to a special subsection of Theoretical Medicine and Bioethics comprising separate reviews of the Springer Handbook of the Philosophy of Medicine, The Routledge Companion to Philosophy of Medicine, and The Bloomsbury Companion to Contemporary Philosophy of Medicine, I compare the three texts with respect to their overall organization and their approach to the relation between the science and the art of medicine. I then indicate two areas that merit more explicit attention in developing a comprehensive philosophy of medicine going forward: health economics and systematic relations within the field as a whole. The reviews that follow speak for themselves.

  3. Practice and Malpractice in Philosophy of Education.

    Science.gov (United States)

    Popp, Jerome A.

    1978-01-01

    Examines educational philosophy as an area of inquiry in light of several points of view from other areas of philosophic inquiry. Topics discussed include activities engaged in by philosophers, analogues in science, theoretical vs practical inquiry, epistemic utilities in philosophy, and the scientific context of educational philosophizing. (DB)

  4. Why Implementing History and Philosophy in School Science Education is a Challenge: An Analysis of Obstacles

    Science.gov (United States)

    Höttecke, Dietmar; Silva, Cibelle Celestino

    2011-03-01

    Teaching and learning with history and philosophy of science (HPS) has been, and continues to be, supported by science educators. While science education standards documents in many countries also stress the importance of teaching and learning with HPS, the approach still suffers from ineffective implementation in school science teaching. In order to better understand this problem, an analysis of the obstacles of implementing HPS into classrooms was undertaken. The obstacles taken into account were structured in four groups: 1. culture of teaching physics, 2. teachers' skills, epistemological and didactical attitudes and beliefs, 3. institutional framework of science teaching, and 4. textbooks as fundamental didactical support. Implications for more effective implementation of HPS are presented, taking the social nature of educational systems into account.

  5. Postmodern View of Humanistic Mathematics 9 -8 ...

    Indian Academy of Sciences (India)

    Since the time of Pythagoras era up to the modern time, mathematics has ... traditional philosophies of mathematics, i.e. logicism (regarding mathematics as a ..... o/Over-Philosophication-Reply to A rcilla andNicholson, Educational Theory,.

  6. Mathematical representations in science: a cognitive-historical case history.

    Science.gov (United States)

    Tweney, Ryan D

    2009-10-01

    The important role of mathematical representations in scientific thinking has received little attention from cognitive scientists. This study argues that neglect of this issue is unwarranted, given existing cognitive theories and laws, together with promising results from the cognitive historical analysis of several important scientists. In particular, while the mathematical wizardry of James Clerk Maxwell differed dramatically from the experimental approaches favored by Michael Faraday, Maxwell himself recognized Faraday as "in reality a mathematician of a very high order," and his own work as in some respects a re-representation of Faraday's field theory in analytic terms. The implications of the similarities and differences between the two figures open new perspectives on the cognitive role of mathematics as a learned mode of representation in science. Copyright © 2009 Cognitive Science Society, Inc.

  7. History of mathematics and history of science reunited?

    Science.gov (United States)

    Gray, Jeremy

    2011-09-01

    For some years now, the history of modern mathematics and the history of modern science have developed independently. A step toward a reunification that would benefit both disciplines could come about through a revived appreciation of mathematical practice. Detailed studies of what mathematicians actually do, whether local or broadly based, have often led in recent work to examinations of the social, cultural, and national contexts, and more can be done. Another recent approach toward a historical understanding of the abstractness of modern mathematics has been to see it as a species of modernism, and this thesis will be tested by the raft of works on the history of modern applied mathematics currently under way.

  8. Physics and Mathematics as Interwoven Disciplines in Science Education

    Science.gov (United States)

    Galili, Igal

    2018-03-01

    The relationship between physics and mathematics is reviewed upgrading the common in physics classes' perspective of mathematics as a toolkit for physics. The nature of the physics-mathematics relationship is considered along a certain historical path. The triadic hierarchical structure of discipline-culture helps to identify different ways in which mathematics is used in physics and to appreciate its contribution, to recognize the difference between mathematics and physics as disciplines in approaches, values, methods, and forms. We mentioned certain forms of mathematical knowledge important for physics but often missing in school curricula. The geometrical mode of codification of mathematical knowledge is compared with the analytical one in context of teaching school physics and mathematics; their complementarity is exemplified. Teaching may adopt the examples facilitating the claims of the study to reach science literacy and meaningful learning.

  9. The skeleton in the closet: should historians of science care about the history of mathematics?

    Science.gov (United States)

    Alexander, Amir

    2011-09-01

    Up until the 1950s, the history of mathematics was an integral part of the history of science. To George Sarton and his contemporaries, mathematics was the rational skeleton that organized science and held it together, and its history was a fundamental component of the broader history of science. But when historians began focusing on the cultural roots of science rather than its rational structure, the study of mathematics was marginalized and ultimately excluded from the history of science. The alienation between the two fields is detrimental to both, and in recent years there has been a sustained effort to reestablish meaningful communication between the two. This time, however, mathematics is seen not as the static skeleton of science but, instead, as a dynamic and historically evolving field in its own right-just like science itself. The new approach allows for a culturally sensitive study of mathematics, as well as a new and fruitful relationship between the history of science and the history of mathematics. The essays in this Focus section offer a sampling of the new approaches, opening the way to a rapprochement between fields that have gone their separate ways but should by rights be closely interconnected.

  10. Mathematical sciences with multidisciplinary applications in honor of professor Christiane Rousseau and in recognition of the Mathematics for Planet Earth initiative

    CERN Document Server

    2016-01-01

    This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance i...

  11. Blushing and the philosophy of mind.

    Science.gov (United States)

    Bunge, Mario

    2007-01-01

    The introduction, an imaginary dialogue between a philosopher and a scientist, is followed by a brief discussion of the interactions between science, philosophy, and religion. Next comes an analysis of the three most popular philosophies of mind: classical mind-body dualism, computerism, and psychoneural monism. It is argued that the latter, held by medical psychologists since Hippocrates, and formulated explicitly by Cajal and Hebb, is the philosophy of mind that underlies contemporary cognitive and affective neuroscience. The standard objections to psychoneural monism (or materialism) are examined. Evolutionary psychology, though promissory, is judged to be more fancy than fact at its present stage. The conclusion is that the philosophy of mind is still in a poor shape, but that it can advance if it learns more from the science of mind. It would also help if scientific psychologists were to replace such tacitly dualistic expressions as "organ N instantiates (or subserves) mental function M" with "organ N performs mental function M", just as we say "the legs walk" instead of "walking is subserved by legs," and "the lungs breathe" instead of "the lungs instantiate breathing."

  12. The Impact of Hands-On-Approach on Student Academic Performance in Basic Science and Mathematics

    Science.gov (United States)

    Ekwueme, Cecilia O.; Ekon, Esther E.; Ezenwa-Nebife, Dorothy C.

    2015-01-01

    Children can learn mathematics and sciences effectively even before being exposed to formal school curriculum if basic Mathematics and Sciences concepts are communicated to them early using activity oriented (Hands-on) method of teaching. Mathematics and Science are practical and activity oriented and can best be learnt through inquiry (Okebukola…

  13. An investigation of mathematics and science instruction in English and Spanish for English language learners

    Science.gov (United States)

    Rodriguez-Esquivel, Marina

    The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

  14. The material realization of science from Habermas to experimentation and referential realism

    CERN Document Server

    Radder, Hans

    2012-01-01

    This book develops a conception of science as a multi-dimensional practice, which includes experimental action and production, conceptual-theoretical interpretation, and formal-mathematical work. On this basis, it addresses the topical issue of scientific realism and expounds a detailed, referentially realist account of the natural sciences. This account is shown to be compatible with the frequent occurrence of conceptual discontinuities in the historical development of the sciences. Referential realism exploits several fruitful ideas of Jürgen Habermas, especially his distinction between objectivity and truth; it builds on a in-depth analysis of scientific experiments, including their material realization; and it is developed through an extensive case study in the history and philosophy of quantum mechanics. The new postscript explains how the book relates to several important issues in recent philosophy of science and science studies.

  15. Some Trends in the Philosophy of Physics

    Directory of Open Access Journals (Sweden)

    Henrik Zinkernagel

    2011-07-01

    Full Text Available A short review of some recent developments in the philosophy of physics is presented. I focus on themes which illustrate relations and points of common interest between philosophy of physics and three of its `neighboring' elds: Physics, metaphysics and general philosophy of science. The main examples discussed in these three `border areas' are (i decoherence and the interpretation of quantum mechanics; (ii time in physics and metaphysics; and (iiimethodological issues surrounding the multiverse idea in modern cosmology.

  16. Kaspar Schott's "encyclopedia of all mathematical sciences"

    Science.gov (United States)

    Knobloch, Eberhard

    2011-06-01

    In 1661, Kaspar Schott published his comprehensive textbook "Cursus mathematicus" in Würzburg for the first time, his "Encyclopedia of all mathematical sciences". It was so successful that it was published again in 1674 and 1677. In its 28 books, Schott gave an introduction for beginners in 22 mathematical disciplines by means of 533 figures and numerous tables. He wanted to avoid the shortness and the unintelligibility of his predecessors Alsted and Hérigone. He cited or recommended far more than hundred authors, among them Protestants like Michael Stifel and Johannes Kepler, but also Catholics like Nicolaus Copernicus. The paper gives a survey of this work and explains especially interesting aspects: The dedication to the German emperor Leopold I., Athanasius Kircher's letter of recommendation as well as Schott's classification of sciences, explanations regarding geometry, astronomy, and algebra.

  17. Basic training in mathematics a fitness program for science students

    CERN Document Server

    Shankar, R

    1995-01-01

    Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences

  18. Theological Underpinnings of the Modern Philosophy of Mathematics.

    Directory of Open Access Journals (Sweden)

    Shaposhnikov Vladislav

    2016-03-01

    Full Text Available The study is focused on the relation between theology and mathematics in the situation of increasing secularization. My main concern in the second part of this paper is the early-twentieth-century foundational crisis of mathematics. The hypothesis that pure mathematics partially fulfilled the functions of theology at that time is tested on the views of the leading figures of the three main foundationalist programs: Russell, Hilbert and Brouwer.

  19. On Mathematical Naturalism and the Powers of Symbolisms

    Directory of Open Access Journals (Sweden)

    Murray Code

    2005-08-01

    Full Text Available Advances in modern mathematics indicate that progress in this field of knowledge depends mainly on culturally inflected imaginative intuitions, or intuitive imaginings—which mysteriously result in the growth of systems of symbolism that are often efficacious, although fallible and very likely evolutionary. Thus the idea that a trouble-free epistemology can be constructed out of an intuition-free mathematical naturalism would seem to be question begging of a very high order. I illustrate the point by examining Philip Kitcher’s attempt to frame an empiricist philosophy of mathematics, which he calls “mathematical naturalism,” wherein he proposes to explain novelty in mathematics by means of the notion of ‘rational interpractice transitions,’ only to end with an appeal to science to supply a meaning for rationality. A more promising naturalistic approach is adumbrated by Noam Chomsky who begins with a straightforward acceptance of mind and language as ‘natural’ or concrete facts which bespeak the need for a linguistic faculty. This indicates in turn that there may also be a mathematical faculty capable of generating and exploiting the powers of mathematical symbolisms in a manner analogous to the linguistic faculty.

  20. What can philosophy do for psychiatry?

    Science.gov (United States)

    Fulford, Kenneth WM; Stanghellini, Giovanni; Broome, Matthew

    2004-01-01

    This article illustrates the practical impact of recent developments in the philosophy of psychiatry in five key areas: patient-centred practice, new models of service delivery, neuroscience research, psychiatric education, and the organisation of psychiatry as an international science-led discipline focused on patient care. We conclude with a note on the role of philosophy in countering the stigmatisation of mental disorder. PMID:16633476

  1. A New Model of Master of Philosophy in Physiological Sciences.

    Science.gov (United States)

    Ahmad, H R; Arain, F M; Khan, N A

    2016-01-01

    The objectives of Master of Philosophy (MPhil) in Physiological Sciences are: 1) to describe the new ways in which anatomy, biochemistry and physiology on one hand, and microbiology, pathology and pharmacology on other hand meet their functional requirements through multidisciplinary integrated concepts; 2) to elucidate relationships between cell biology, molecular biology and molecular genetics by connecting dots of how cell functions are driven by molecules and being controlled by genes. This forms the basis of cell, molecular and genetics [CMG] module upon which 7 multidisciplinary modules of Physiological Sciences follow; 3) these 24 credit hours provide the physiological basis for PhD studies as well as faculty development to enhance learning abilities of medical student; 4) the modules constitute Cardio- Respiratory Physiological Sciences, GI and Renal Physiological Sciences, Neurosciences, Endo-Reproductive Physiological Sciences.; 5) it has integrated microbiology, pathology and pharmacology in a unique way through CMG of microbes leading to associated pathology and mechanisms of prescribed drugs; 6) it has additional synopsis and thesis friendly course work leading to comprehensive examinations; 7) the year two deals with research work of 6 credit hours leading to defense of thesis; 8) The MPhil in Physiological Sciences is fundamentally different from what is being offered elsewhere. It prepares and offers a good spring board to dovetail PhD studies as well as faculty and institutional development. This is the first study that deals with innovative programmes in research, learning and education in the field of physiological sciences. This broad-based MPhil would make its recipients competent, critical, confident and productive learner. This is a completely unique design of a curriculum that has no comparable examples elsewhere. Our mission is to educate graduate students in the field of Physiological Sciences such that they have a complete grasp over the

  2. Experiencing mathematics what do we do, when we do mathematics?

    CERN Document Server

    Hersh, Reuben

    2014-01-01

    The question "What am I doing?" haunts many creative people, researchers, and teachers. Mathematics, poetry, and philosophy can look from the outside sometimes as ballet en pointe, and at other times as the flight of the bumblebee. Reuben Hersh looks at mathematics from the inside; he collects his papers written over several decades, their edited versions, and new chapters in his book Experiencing Mathematics, which is practical, philosophical, and in some places as intensely personal as Swann's madeleine. -Yuri Manin, Max Planck Institute, Bonn, Germany What happens when mid-career a mathemat

  3. Tannery and Duhem on the concept of a system in the history of philosophy and history of science

    DEFF Research Database (Denmark)

    Catana, Leo

    2011-01-01

    historical disciplines, creating the impression that they were mutually independent. Modern commentators have tended to take these declarations at face value. This article argues that Tannery and Duhem, some of the first historians of science, transferred historiographical concepts from history of philosophy...

  4. Describing the concept of infinite among art, literature, philosophy and science: a pedagogical-didactic overview

    Directory of Open Access Journals (Sweden)

    Paolo Di Sia

    2014-09-01

    Full Text Available In this work an interesting overview concerning the human attempts in the description of the concept of infinite is presented. This peculiar concept represents a cardinal point in the history of human culture, because man, with different modalities, has always compared with it. Historically the main followed streams were two: the rational and the irrational approaches. In the first approach we find disciplines such as philosophy, mathematics and physics; the second is the domain of literature, arts and religion. Some activities for developing ideas about the intuitive concept of the infinity at the level of compulsory education will be also given.

  5. Physics, Computer Science and Mathematics Division. Annual report, 1 January--31 December 1977

    International Nuclear Information System (INIS)

    Lepore, J.V.

    1977-01-01

    This annual report of the Physics, Computer Science and Mathematics Division describes the scientific research and other work carried out within the Division during 1977. The Division is concerned with work in experimental and theoretical physics, with computer science and applied mathematics, and with the operation of a computer center. The major physics research activity is in high-energy physics, although there is a relatively small program of medium-energy research. The High Energy Physics research program in the Physics Division is concerned with fundamental research which will enable man to comprehend the nature of the physical world. The major effort is now directed toward experiments with positron-electron colliding beam at PEP. The Medium Energy Physics program is concerned with research using mesons and nucleons to probe the properties of matter. This research is concerned with the study of nuclear structure, nuclear reactions, and the interactions between nuclei and electromagnetic radiation and mesons. The Computer Science and Applied Mathematics Department engages in research in a variety of computer science and mathematics disciplines. Work in computer science and applied mathematics includes construction of data bases, computer graphics, computational physics and data analysis, mathematical modeling, and mathematical analysis of differential and integral equations resulting from physical problems. The Computer Center provides large-scale computational support to LBL's scientific programs. Descriptions of the various activities are quite short; references to published results are given. 24 figures

  6. Pharmacy students' perceptions of natural science and mathematics subjects.

    Science.gov (United States)

    Prescott, Julie; Wilson, Sarah Ellen; Wan, Kai-Wai

    2014-08-15

    To determine the level of importance pharmacy students placed on science and mathematics subjects for pursuing a career in pharmacy. Two hundred fifty-four students completed a survey instrument developed to investigate students' perceptions of the relevance of science and mathematics subjects to a career in pharmacy. Pharmacy students in all 4 years of a master of pharmacy (MPharm) degree program were invited to complete the survey instrument. Students viewed chemistry-based and biology-based subjects as relevant to a pharmacy career, whereas mathematics subjects such as physics, logarithms, statistics, and algebra were not viewed important to a career in pharmacy. Students' experience in pharmacy and year of study influenced their perceptions of subjects relevant to a pharmacy career. Pharmacy educators need to consider how they can help students recognize the importance of scientific knowledge earlier in the pharmacy curriculum.

  7. Partial Support of Meeting of the Board on Mathematical Sciences and Their Applications

    Energy Technology Data Exchange (ETDEWEB)

    Weidman, Scott [National Academy of Sciences, Washington DC (United States)

    2014-08-31

    During the performance period, BMSA released the following major reports: Transforming Combustion Research through Cyberinfrastructure (2011); Assessing the Reliability of Complex Models: Mathematical and Statistical Foundations of Verification, Validation, and Uncertainty Quantification (2012); Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century (2012); Aging and the Macroeconomy: Long-Term Implications of an Older Population (2012); The Mathematical Sciences in 2025 (2013); Frontiers in Massive Data Analysis (2013); and Developing a 21st Century Global Library for Mathematics Research (2014).

  8. Representation and productive ambiguity in mathematics and the sciences

    CERN Document Server

    Grosholz, Emily R

    2007-01-01

    Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. Anyone interested in how mathematics works will find this a stimulating read.

  9. Mathematics Teachers' Response to the Reform Agenda: Results of the 1993 National Survey of Science and Mathematics Education.

    Science.gov (United States)

    Weiss, Iris R.

    The NCTM Standards call for the introduction of challenging mathematics content for all students beginning in the early grades. If teachers are to guide students in their exploration of mathematics concepts, they must themselves have a firm grasp of powerful mathematics concepts. This paper uses data from the 1993 National Survey of Science and…

  10. National Center for Mathematics and Science - publications

    Science.gov (United States)

    : Designing Statistics Instruction for Middle School Students Summer 2003: Algebraic Skills and Strategies for newsletter cover The National Center for Research in Mathematical Sciences Education (NCRMSE) (1987-1995 -Level Reform Fall 1993: Assessment Models Winter 1994: Reforming Geometry Spring 1994: Statistics and

  11. Pre-Service Secondary Science and Mathematics Teachers' Classroom Management Styles in Turkey

    Science.gov (United States)

    Yilmaz, Kursad

    2009-01-01

    The aim of this study is to determine Pre-service secondary science and mathematics teachers' classroom management styles in Turkey. In addition, differences in pre-service secondary science and mathematics teachers' classroom management styles by gender, and field of study were examined. In the study, the survey model was employed. The research…

  12. Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science

    Science.gov (United States)

    Macinko Kovac, Maja; Eret, Lidija

    2012-01-01

    This article gives insight into methodical correlation model of teaching mathematics and computer science. The model shows the way in which the related areas of computer science and mathematics can be supplemented, if it transforms the way of teaching and creates a "joint" lessons. Various didactic materials are designed, in which all…

  13. Making mathematics and science integration happen: key aspects of practice

    Science.gov (United States)

    Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne

    2016-02-01

    The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working collaboratively, at second-level education, is under-researched due to the complexities of school-based research. This study reports on a year-long case study on the implementation of an integrated unit of learning on distance, speed and time, within three second-level schools in Ireland. This study employed a qualitative approach and examined the key aspects of practice that impact on the integration of mathematics and science teaching and learning. We argue that teacher perspective, teacher knowledge of the 'other subject' and of technological pedagogical content knowledge (TPACK), and teacher collaboration and support all impact on the implementation of an integrative approach to mathematics and science education.

  14. Philosophy and the practice of Bayesian statistics.

    Science.gov (United States)

    Gelman, Andrew; Shalizi, Cosma Rohilla

    2013-02-01

    A substantial school in the philosophy of science identifies Bayesian inference with inductive inference and even rationality as such, and seems to be strengthened by the rise and practical success of Bayesian statistics. We argue that the most successful forms of Bayesian statistics do not actually support that particular philosophy but rather accord much better with sophisticated forms of hypothetico-deductivism. We examine the actual role played by prior distributions in Bayesian models, and the crucial aspects of model checking and model revision, which fall outside the scope of Bayesian confirmation theory. We draw on the literature on the consistency of Bayesian updating and also on our experience of applied work in social science. Clarity about these matters should benefit not just philosophy of science, but also statistical practice. At best, the inductivist view has encouraged researchers to fit and compare models without checking them; at worst, theorists have actively discouraged practitioners from performing model checking because it does not fit into their framework. © 2012 The British Psychological Society.

  15. [Research activities in applied mathematics, fluid mechanics, and computer science

    Science.gov (United States)

    1995-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period April 1, 1995 through September 30, 1995.

  16. The 3rd International Conference on Mathematics, Science and Education 2016

    International Nuclear Information System (INIS)

    2017-01-01

    The 3 rd International Conference of Mathematics, Science, and Education (ICMSE) 2016 on Semarang, 3-4 September 2016 organized by Faculty of Mathematics and Natural Science, Semarang State University. ICMSE2016 provides a platform to the researchers, experts and practitioners from academia, governments, NGOs, research institutes, and industries to meet and share cutting-edge progress in the fields of mathematics and natural science. It is reflected in this year theme “Contribution of Mathematics and Science Research for Sustainable Life in Facing Global Challenge”. The scope of this conference are Mathematics, Biology, Chemistry, and Physics,We thank to the keynote speakers and all authors of the contributed papers, for the cooperation rendered to us in the publication of the conference proceedings. In particular, we would like to place on record our thanks to the expert reviewers who have spared their time reviewing the papers. We also highly appreciate the assistance offered by many volunteers in the preparation of the conference proceedings, and of course to the sponsors assisting in funding this conference, especially Research, Technology and Higher Education Ministry of Indonesia for supporting this conference.The committee selected 71 papers from 129 papers presented in this forum to be published in Journal of Physics: Conference Series (Institute of Physics Publisher) indexed by Scopus. We hope that this program will further stimulate research in Mathematics, Science, and Education; share research interest and information; and create a forum of collaboration and build trust relationship. We feel honored and privileged to serve the best recent developments in the field of Mathematics and Science Education to you through this exciting program.Chairperson,Dr. Margareta RahayuningsihCOMMITTEEInternational Scientific Advisory BoardEdy Cahyono ( Chemistry Department, State University of Semarang )Rahim Sahar ( Department of Physics, Universiti Teknologi

  17. The social sciences, philosophy, and the cultural turn in the 1930s USDA.

    Science.gov (United States)

    Jewett, Andrew

    2013-01-01

    One of the more unusual attempts by the American state to mobilize academic expertise unfolded in the late 1930s, when the United States Department of Agriculture (USDA) hired scholars in the "culture and personality" fields and philosophy to aid its efforts to promote economic, social, and cultural change in the countryside. USDA progressives also reached out to disciplinary scholars in other ways as they sought to institute a deliberative mode of planning in local communities and to remake the curricula of the land-grant colleges in support of that project. These USDA initiatives and scholars' responses reveal that scientific knowledge was mobilized in the 1930s not just for the instrumental purpose of regulating economic behavior but also to explain and legitimate federal programs and to inform ambitious projects for cultural change. At the USDA, as at many other sites between the wars, scientific thinkers turned to the social sciences and philosophy in order to understand and then change the public mind. © 2013 Wiley Periodicals, Inc.

  18. Nominalism and constructivism in seventeenth-century mathematical philosophy

    CERN Document Server

    Sepkoski, David

    2013-01-01

    What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answering this question, this book demonstrates that a significant group of philosophers shared the belief that there is no necessary correspondence between external reality and objects of human understanding, which they held to include the objects of mathematical and linguistic discourse. The result is a scholarly reliable, but accessible, account of the role of mathematics in the works of (

  19. Would Virchow be a systems biologist? A discourse on the philosophy of science with implications for pathological research.

    Science.gov (United States)

    Stenzinger, Albrecht; Klauschen, Frederick; Wittschieber, Daniel; Weichert, Wilko; Denkert, Carsten; Dietel, Manfred; Roller, Claudio

    2010-06-01

    Research in pathology spans from merely descriptive work to functional studies, "-omics" approaches and, more recently, systems biology. The work presented here aims at placing pathological research into an epistemological context. Aided by Rudolf Virchow, we give an overview on the philosophy of science including the Wiener Kreis, Popper, Kuhn, Fleck and Rheinberger and demonstrate their implications for routine diagnostics and science in pathology. A focus is on the fields of "-omics" and systems pathology.

  20. Sharpen Your Skills: Mathematics and Science Braille.

    Science.gov (United States)

    Eulert, Von E.; Cohn, Doris

    1984-01-01

    Three articles about mathematics and science braille are provided for braille transcribers and teachers of the visually handicapped. The first article discusses common problems such as setting braille writers incorrectly, duplicating transcribed materials unnecessarily, and incorrectly transcribing from typescript. The second article provides a…

  1. Recent progress and modern challenges in applied mathematics, modeling and computational science

    CERN Document Server

    Makarov, Roman; Belair, Jacques

    2017-01-01

    This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science.  The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.

  2. The philosophy of cosmology

    CERN Document Server

    Silk, Joseph; Barrow, John D; Saunders, Simon

    2017-01-01

    Following a long-term international collaboration between leaders in cosmology and the philosophy of science, this volume addresses foundational questions at the limit of science across these disciplines, questions raised by observational and theoretical progress in modern cosmology. Space missions have mapped the Universe up to its early instants, opening up questions on what came before the Big Bang, the nature of space and time, and the quantum origin of the Universe. As the foundational volume of an emerging academic discipline, experts from relevant fields lay out the fundamental problems of contemporary cosmology and explore the routes toward finding possible solutions. Written for graduates and researchers in physics and philosophy, particular efforts are made to inform academics from other fields, as well as the educated public, who wish to understand our modern vision of the Universe, related philosophical questions, and the significant impacts on scientific methodology.

  3. Teachers' Perception of African American Middle School Girls' Interest in Mathematics and Science

    Science.gov (United States)

    Best, Bonnie M.

    Research into African American female underrepresentation in science, technology, engineering, and mathematics (STEM) fields has become an area of interest due to the fact that a majority of African American middle school females do not possess the high levels of mathematics and science knowledge because of social and cultural barriers both inside and outside school that challenge their academic success. The purpose of this qualitative interpretative phenomenological study was to explore teachers' shared, lived experiences of teaching mathematics and science to African American middle school girls. Delgado and Stefancic's critical race theory, Pratt-Clarke's critical race feminism, and Baker-Miller's relational-cultural theory were used to guide this study. Research questions focused on the perceptions and experiences of teachers' lived experiences teaching mathematics and science to African American middle school females. Criterion, purposive, and maximum variation sampling techniques were used to recruit 10 teachers who have 3 or more years' experience teaching African American middle school girls. Semistructured face-to-face interviews were the primary data collection source. First cycle and second cycle coding methods were used to support the analysis of this study. Findings suggest that there is a connection between a positive student-teacher relationship and academic success. The results of this study contribute to positive social change by providing empirical evidence policymakers and teachers can use to improve the mathematics and science instruction and practices that are needed to meet the needs of African American middle school females and reduce the underrepresentation and underachievement of African American females in mathematics and science.

  4. Mathematical and Statistical Methods for Actuarial Sciences and Finance

    CERN Document Server

    Legros, Florence; Perna, Cira; Sibillo, Marilena

    2017-01-01

    This volume gathers selected peer-reviewed papers presented at the international conference "MAF 2016 – Mathematical and Statistical Methods for Actuarial Sciences and Finance”, held in Paris (France) at the Université Paris-Dauphine from March 30 to April 1, 2016. The contributions highlight new ideas on mathematical and statistical methods in actuarial sciences and finance. The cooperation between mathematicians and statisticians working in insurance and finance is a very fruitful field, one that yields unique  theoretical models and practical applications, as well as new insights in the discussion of problems of national and international interest. This volume is addressed to academicians, researchers, Ph.D. students and professionals.

  5. Intelligible design a realistic approach to the philosophy and history of science

    CERN Document Server

    Gonzalo, Julio A

    2014-01-01

    This book provides realistic answers to hotly debated scientific topics: Science is about quantitative aspects of natural realities (physical, chemical, biological) but it is the result of human intellectual inquiry and therefore not "per se" materialistic. This book, with contributions from experts in physics, cosmology, mathematics, engineering, biology and genetics, covers timely and relevant topics such as the origin of the universe, the origin of life on Earth, the origin of man (intelligent life) and the origin of science.

  6. A quantitative approach to evolution of music and philosophy

    International Nuclear Information System (INIS)

    Vieira, Vilson; Fabbri, Renato; Travieso, Gonzalo; Oliveira Jr, Osvaldo N; Costa, Luciano da Fontoura

    2012-01-01

    The development of new statistical and computational methods is increasingly making it possible to bridge the gap between hard sciences and humanities. In this study, we propose an approach based on a quantitative evaluation of attributes of objects in fields of humanities, from which concepts such as dialectics and opposition are formally defined mathematically. As case studies, we analyzed the temporal evolution of classical music and philosophy by obtaining data for 8 features characterizing the corresponding fields for 7 well-known composers and philosophers, which were treated with multivariate statistics and pattern recognition methods. A bootstrap method was applied to avoid statistical bias caused by the small sample data set, with which hundreds of artificial composers and philosophers were generated, influenced by the 7 names originally chosen. Upon defining indices for opposition, skewness and counter-dialectics, we confirmed the intuitive analysis of historians in that classical music evolved according to a master–apprentice tradition, while in philosophy changes were driven by opposition. Though these case studies were meant only to show the possibility of treating phenomena in humanities quantitatively, including a quantitative measure of concepts such as dialectics and opposition, the results are encouraging for further application of the approach presented here to many other areas, since it is entirely generic. (paper)

  7. The Emergence of Objects from Mathematical Practices

    Science.gov (United States)

    Font, Vicenc; Godino, Juan D.; Gallardo, Jesus

    2013-01-01

    The nature of mathematical objects, their various types, the way in which they are formed, and how they participate in mathematical activity are all questions of interest for philosophy and mathematics education. Teaching in schools is usually based, implicitly or explicitly, on a descriptive/realist view of mathematics, an approach which is not…

  8. Matematik. Ide og indsigt 1

    DEFF Research Database (Denmark)

    Olesen, Mogens Nørgaard

    Philosophy of science, elementary mathematics, set theory, sequences, series, interest calculus, difference equations, combinatorics, and probability theory......Philosophy of science, elementary mathematics, set theory, sequences, series, interest calculus, difference equations, combinatorics, and probability theory...

  9. Integrating Climate Change Science and Sustainability in Environmental Science, Sociology, Philosophy and Business Courses.

    Science.gov (United States)

    Boudrias, M. A.; Cantzler, J.; Croom, S.; Huston, C.; Woods, M.

    2015-12-01

    Courses on sustainability can be taught from multiple perspectives with some focused on specific areas (environmental, socio-cultural, economic, ethics) and others taking a more integrated approach across areas of sustainability and academic disciplines. In conjunction with the Climate Change Education Program efforts to enhance climate change literacy with innovative approaches, resources and communication strategies developed by Climate Education Partners were used in two distinct ways to integrate climate change science and impacts into undergraduate and graduate level courses. At the graduate level, the first lecture in the MBA program in Sustainable Supply Chain Management is entirely dedicated to climate change science, local and global impacts and discussions about key messages to communicate to the business community. Basic science concepts are integrated with discussions about mitigation and adaptation focused on business leaders. The concepts learned are then applied to the semester-long business plan project for the students. At the undergraduate level, a new model of comprehensive integration across disciplines was implemented in Spring 2015 across three courses on Sustainability each with a specific lens: Natural Science, Sociology and Philosophy. All three courses used climate change as the 'big picture' framing concept and had similar learning objectives creating a framework where lens-specific topics, focusing on depth in a discipline, were balanced with integrated exercises across disciplines providing breadth and possibilities for integration. The comprehensive integration project was the creation of the climate action plan for the university with each team focused on key areas of action (water, energy, transportation, etc.) and each team built with at least one member from each class ensuring a natural science, sociological and philosophical perspective. The final project was presented orally to all three classes and an integrated paper included

  10. Instrumentation for Scientific Computing in Neural Networks, Information Science, Artificial Intelligence, and Applied Mathematics.

    Science.gov (United States)

    1987-10-01

    include Security Classification) Instrumentation for scientific computing in neural networks, information science, artificial intelligence, and...instrumentation grant to purchase equipment for support of research in neural networks, information science, artificail intellignece , and applied mathematics...in Neural Networks, Information Science, Artificial Intelligence, and Applied Mathematics Contract AFOSR 86-0282 Principal Investigator: Stephen

  11. Mathematics Teacher Identity in the Context of Mathematics Reform: Elementary Teacher Experiences

    OpenAIRE

    Sun, Jennifer

    2017-01-01

    ABSTRACT OF THE DISSERTATIONMathematics Teacher Identity in the Context of Mathematics Reform:Elementary Teacher Experiences ByJennifer SunDoctor of Philosophy in EducationUniversity of California, Irvine, 2017Associate Professor Elizabeth A. van Es, ChairReform efforts and changes in mathematics education have brought on a shift towards a new vision of mathematics teaching in the United States. In light of recent accountability standards, the focus on teacher learning within the context of m...

  12. Development of Contextual Mathematics teaching Material integrated related sciences and realistic for students grade xi senior high school

    Science.gov (United States)

    Helma, H.; Mirna, M.; Edizon, E.

    2018-04-01

    Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced

  13. How philosophy of medicine has changed medical ethics.

    Science.gov (United States)

    Veatch, Robert M

    2006-12-01

    The celebration of thirty years of publication of The Journal of Medicine and Philosophy provides an opportunity to reflect on how medical ethics has evolved over that period. The reshaping of the field has occurred in no small part because of the impact of branches of philosophy other than ethics. These have included influences from Kantian theory of respect for persons, personal identity theory, philosophy of biology, linguistic analysis of the concepts of health and disease, personhood theory, epistemology, and political philosophy. More critically, medicine itself has begun to be reshaped. The most fundamental restructuring of medicine is currently occurring--stemming, in part, from the application of contemporary philosophy of science to the medical field. There is no journal more central to these critical events of the past three decades than The Journal of Medicine and Philosophy.

  14. Symbolising the Real of Mathematics Education

    Science.gov (United States)

    Pais, Alexandre

    2015-01-01

    This text, occasioned by a critical reading of Tony Brown's new book "Mathematics Education and Subjectivity," aims at contributing to the building of a sociopolitical approach to mathematics education based on Lacanian psychoanalysis and Slavoj Žižek's philosophy. Brown has been bringing into the field of mathematics education the work…

  15. Physics, Computer Science and Mathematics Division. Annual report, 1 January-31 December 1979

    International Nuclear Information System (INIS)

    Lepore, J.V.

    1980-09-01

    This annual report describes the research work carried out by the Physics, Computer Science and Mathematics Division during 1979. The major research effort of the Division remained High Energy Particle Physics with emphasis on preparing for experiments to be carried out at PEP. The largest effort in this field was for development and construction of the Time Projection Chamber, a powerful new particle detector. This work took a large fraction of the effort of the physics staff of the Division together with the equivalent of more than a hundred staff members in the Engineering Departments and shops. Research in the Computer Science and Mathematics Department of the Division (CSAM) has been rapidly expanding during the last few years. Cross fertilization of ideas and talents resulting from the diversity of effort in the Physics, Computer Science and Mathematics Division contributed to the software design for the Time Projection Chamber, made by the Computer Science and Applied Mathematics Department

  16. The Current Status of the Philosophy of Biology

    Science.gov (United States)

    Takacs, Peter; Ruse, Michael

    2013-01-01

    The philosophy of biology today is one of the most exciting areas of philosophy. It looks critically across the life sciences, teasing out conceptual issues and difficulties bringing to bear the tools of philosophical analysis to achieve clarification and understanding. This essay surveys work in all of the major directions of research:…

  17. Heuristic and algorithmic processing in English, mathematics, and science education.

    Science.gov (United States)

    Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane

    2008-01-01

    Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.

  18. History and Philosophy of Science: a Phylogenetic approach História e filosofia da ciência: uma abordagem filogenética

    Directory of Open Access Journals (Sweden)

    James G. Lennox

    2001-12-01

    Full Text Available In the aftermath of Thomas Kuhn's The structure of scientific revolutions, there was a great deal of discussion about the relationship between the History of Science and the Philosophy of Science. A wider issue was at stake in these discussions: 'normativism' versus 'naturalism' in Epistemology. If the History of Science, at best, gives us reliable information about what actually occurred historically, how can it inform debates about such things as confirmation or explanation in Philosophy of Science? This essay makes a case for the centrality of historical investigation in the Philosophy of Science. I will defend what I term the 'Phylogenetic' approach to the Philosophy of Science. I will argue that since the foundations and dominant methods of a particular scientific field are shaped by its history, studying that History can give us considerable insight into conceptual and methodological problems in a particular Science. The case will be made both on general, philosophical grounds, and by compelling instantiation.A publicação de A estrutura das revoluções científicas de Thomas Khun resultou em uma grande discussão sobre a relação entre a história da ciência e a filosofia da ciência. Nessa discussão, o que estava em jogo era algo bem mais abrangente, isto é, o 'normativismo' versus o 'naturalismo' em epistemologia. Se a história da ciência, na melhor das hipóteses, nos dá informações confiáveis quanto ao que realmente ocorreu historicamente, como é que ela pode auxiliar os debates da filosofia da ciência sobre aspectos tais como confirmação e explicação? O presente artigo defende a centralização da investigação histórica para a filosofia da ciência. O autor defende o que ele chama de abordagem 'filogenética' à filosofia da ciência, argumentando que, uma vez que a as bases e métodos que prevalecem em uma área científica são moldados pela sua história, estudar esta história pode esclarecer

  19. An Evaluation of Integrated Curriculum as It Exists in Mathematics and Science SSS as Well as the Subsequent Supportive Presentation of Those Standards in Eighth Grade Mathematics and Science Textbooks

    Science.gov (United States)

    Gill, Clara Joanne Schneberger

    2010-01-01

    This study attempted to verify points of intersection (POIs) between mathematics and science in the eighth grade Sunshine State Standards (SSS), and to develop a valid and reliable instrument to evaluate these POIs as they were presented in the respective mathematics and science textbooks approved for use in Florida public schools. Shannon and…

  20. [Helminthology according to the philosophy of science of Imre Lakatos].

    Science.gov (United States)

    Orensanz, Martín; Denegri, Guillermo

    2017-01-01

    Lakatos's philosophy of science has been used for different branches of biology, however this has not been true for helminthology. Therefore, this article examines the possibility of using his methodology of scientific research programmes (SRP) for reconstructing the history of the discipline of helminthology. It is upheld that the first SRP in biology was inaugurated by Aristotle, and its protective belt included a small group of auxiliary hypotheses referring to helminths. This programme continued up until the 17th century, when two rival programmes in helminthology arose: the internalist and the externalist. After the second half of the 19th century the internalist SRP was abandoned, while the externalist considerably broadened its protective belt during the 20th century. The internalist programme was abandoned due to the crucial experiments of Küchenmeister, which permitted the consolidation of the externalist SRP.