WorldWideScience

Sample records for science mathematics philosophy

  1. 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

  2. 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...

  3. 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.

  4. 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)

  5. 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

  6. Berkeley's Philosophy of Mathematics

    CERN Document Server

    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

  7. 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.

  8. 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

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

    CERN Document Server

    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.

  10. 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...

  11. 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.

  12. 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...

  13. 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

  14. 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?...

  15. 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.

  16. 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...

  17. 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.

  18. 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.

  19. 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.

  20. 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...

  1. 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...

  2. 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.

  3. 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...

  4. 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.

  5. 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...

  6. 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…

  7. Quantum philosophy understanding and interpreting contemporary science

    CERN Document Server

    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

  8. 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.

  9. "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…

  10. 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…

  11. '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....

  12. 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.

  13. 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.

  14. 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.

  15. 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...

  16. 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.

  17. 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...

  18. 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…

  19. 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...

  20. 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).

  1. 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

  2. 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.

  3. 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:

  4. 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.

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

    CERN Document Server

    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

  6. 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.

  7. 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.

  8. 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)

  9. 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...

  10. 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 ...

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

    Directory of Open Access Journals (Sweden)

    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.

  12. 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 ...

  13. 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.

  14. 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)

  15. 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)

  16. Michael Polanyi's Philosophy of Science

    Indian Academy of Sciences (India)

    Positivism may be said to be the outcome of the changing contours of modern science that relies solely on observation, experimentation, and measurement. Experiments in modern science are designed solely to elicit 'yes' or 'no' for an answer. The resultant facts can be fitted into clusters, groups, manifolds, and sets.

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

    CERN Document Server

    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.

  18. 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 ...

  19. 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 ...

  20. 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…

  1. Psychology, philosophy and nuclear science

    Energy Technology Data Exchange (ETDEWEB)

    Edwards, M.; Byrne, A. [Australian National Univ., Canberra (Australia)

    2011-06-15

    At first glance, one might wonder what psychology has got to do with nuclear science. On closer inspection, it is clear that nuclear science and technology have historically attracted controversy, and still today public and political opposition cloud its future, perhaps even more so with recent tragic events in Japan. A key focus for psychology has been an attempt to explicate public opposition to nuclear power, and this has been largely carried out by examining attitudes and risk perception. But it is easy to demonstrate that this has not been enough. There are also other important psychological issues that warrant greater attention than has been given. In this paper, I will first give an overview of the 'discipline' of psychology, including some inherent philosophical problems, before outlining specific psychological issues of relevance to nuclear science. I will then discuss whether these issues have been adequately addressed to date, before finally suggesting ways in which psychology might better respond to the questions nuclear science and technology raise. (author)

  2. Psychology, philosophy and nuclear science

    International Nuclear Information System (INIS)

    Edwards, M.; Byrne, A.

    2011-01-01

    At first glance, one might wonder what psychology has got to do with nuclear science. On closer inspection, it is clear that nuclear science and technology have historically attracted controversy, and still today public and political opposition cloud its future, perhaps even more so with recent tragic events in Japan. A key focus for psychology has been an attempt to explicate public opposition to nuclear power, and this has been largely carried out by examining attitudes and risk perception. But it is easy to demonstrate that this has not been enough. There are also other important psychological issues that warrant greater attention than has been given. In this paper, I will first give an overview of the 'discipline' of psychology, including some inherent philosophical problems, before outlining specific psychological issues of relevance to nuclear science. I will then discuss whether these issues have been adequately addressed to date, before finally suggesting ways in which psychology might better respond to the questions nuclear science and technology raise. (author)

  3. 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…

  4. 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

  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. 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.

  7. Contingent Conspiracies: Art, Philosophy, Science

    DEFF Research Database (Denmark)

    Wilson, Alexander

    2013-01-01

    The question of whether creativity comes from being “open” or “closed” to contingent processes, deeply intersects art-historical discourse on authorship, style, technique and practice: from the Greek notion of the Daimon, through commedia dell'arte’s improvised styles and romanticism’s investment......, Hegel) contain a deeper tension between contingency and necessity, often revealed in correlate discussions of the sublime. But as artists find themselves returning again to a concern or care for contingency (a thread running through Heidegger, Levinas and Derrida) or the question how to conspire...... with contingency (Negarestani), they do so today with a new paradigm of scientific knowledge at their disposal. For science too has increasingly been forced to respond to the notion of contingency. Progressively discovering the ubiquity of non-linear dynamics, deterministic chaos and emergent complexity...

  8. 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…

  9. 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.

  10. (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.

  11. 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)

  12. 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 ...

  13. 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…

  14. 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.

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

    Directory of Open Access Journals (Sweden)

    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

  16. 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.

  17. 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.

  18. 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.

  19. [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.

  20. 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.

  1. 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.

  2. 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…

  3. 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…

  4. 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.

  5. 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...

  6. 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

  7. 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.

  8. [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.

  9. 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.

  10. 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

  11. 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...

  12. 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)

  13. 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.

  14. 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

  15. 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.

  16. 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.

  17. 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...

  18. 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.

  19. 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 ...

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

    CERN Document Server

    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. 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…

  2. 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.

  3. 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...

  4. 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....

  5. 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.

  6. 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.

  7. 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....

  8. 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...

  9. Scientists' views of the philosophy of science

    OpenAIRE

    Riesch, H.

    2008-01-01

    Many studies in public understanding of science emphasise that learning how to do science also involves learning about the philosophical issues surrounding the nature of science. This thesis aims to find out how scientists themselves talk and write about these philosophical topics, and how these topics get used in scientific thought. It contrasts scientists' opinions on these issues with how they are portrayed in popular science, and also contrasts them with how philosophers themselves have j...

  10. 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

  11. 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…

  12. Mathematical Sciences Institute Workshop

    CERN Document Server

    Scott, Philip

    1990-01-01

    A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point of view and the reworking of traditional mathematics from the point of view of feasible computation. The diversity of Feasible Mathematics is illustrated by the. contents of this volume which includes papers on weak fragments of arithmetic, on higher type functionals, on bounded linear logic, on sub recursive definitions ...

  13. 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.

  14. 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…

  15. 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.

  16. 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

  17. 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

  18. 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.

  19. 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

  20. 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.

  1. 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...

  2. 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.

  3. 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.

  4. Why is there Philosophy of Mathematics AT ALL? | Hacking | South ...

    African Journals Online (AJOL)

    Mathematics plays an inordinate role in the work of many of famous Western philosophers, from the time of Plato, through Husserl and Wittgenstein, and even to the present. Why? This paper points to the experience of learning or making mathematics, with an emphasis on proof. It distinguishes two sources of the perennial ...

  5. 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...

  6. 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 (

  7. 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.

  8. Philosophy of mathematics and deductive structure in Euclid's elements

    CERN Document Server

    Mueller, Ian

    2006-01-01

    A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as differences. Rather than focusing strictly on historical and mathematical issues, the book examines philosophical, foundational, and logical questions.Although comprehensive in its treatment, this study represents a less cumbersome, more streamlined approach than the classic three-volume reference by Sir Thomas L. Heath (also available from Dover Publications). To make reading easier and to f

  9. 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.

  10. Reorganizing Freshman Business Mathematics I: Background and Philosophy

    Science.gov (United States)

    Green, Kris; Emerson, Allen

    2008-01-01

    This article is the first of the two-part discussion of the development of a new Freshman Business Mathematics (FBM) course at our college. Part I of the article describes the background and history behind the course, and provides a theoretical framework for the design of the course. This design involves students in learning and applying…

  11. Levels of infinity selected writings on mathematics and philosophy

    CERN Document Server

    Weyl, Hermann

    2012-01-01

    This original anthology collects 11 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert.

  12. 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…

  13. 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.

  14. J D Bernal: philosophy, politics and the science of science

    Energy Technology Data Exchange (ETDEWEB)

    Sheehan, Helena M [Dublin City University, Dublin 9 (Ireland)

    2007-02-02

    This paper is an examination of the philosophical and political legacy of John Desmond Bernal. It addresses the evidence of an emerging consensus on Bernal based on the recent biography of Bernal by Andrew Brown and the reviews it has received. It takes issue with this view of Bernal, which tends to be admiring of his scientific contribution, bemused by his sexuality, condescending to his philosophy and hostile to his politics. This article is a critical defence of his philosophical and political position.

  15. J D Bernal: philosophy, politics and the science of science

    International Nuclear Information System (INIS)

    Sheehan, Helena M

    2007-01-01

    This paper is an examination of the philosophical and political legacy of John Desmond Bernal. It addresses the evidence of an emerging consensus on Bernal based on the recent biography of Bernal by Andrew Brown and the reviews it has received. It takes issue with this view of Bernal, which tends to be admiring of his scientific contribution, bemused by his sexuality, condescending to his philosophy and hostile to his politics. This article is a critical defence of his philosophical and political position

  16. 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

  17. 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.

  18. 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...

  19. 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...

  20. 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.

  1. 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...

  2. 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…

  3. 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 ...

  4. 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.

  5. 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.

  6. 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…

  7. 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

  8. 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 ...

  9. 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, ...

  10. 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.

  11. Molecularization in nutritional science: a view from philosophy of science.

    Science.gov (United States)

    Ströhle, Alexander; Döring, Frank

    2010-10-01

    Over the past decade, a trend toward molecularization, which could be observed in almost all bioscientific disciplines, now appears to have also developed in nutritional science. However, molecular nutrition research gives birth to a series of questions. Therefore, we take a look at the epistemological foundation of (molecular) nutritional science. We (i) analyze the scientific status of (molecular) nutritional science and its position in the canon of other scientific disciplines, (ii) focus on the cognitive aims of nutritional science in general and (iii) on the chances and limits of molecular nutrition research in particular. By taking up the thoughts of an earlier work, we are analyzing (molecular) nutritional science from a strictly realist and emergentist-naturalist perspective. Methodologically, molecular nutrition research is bound to a microreductive research approach. We emphasize, however, that it need not be a radical microreductionism whose scientific reputation is not the best. Instead we favor moderate microreductionism, which combines reduction with integration. As mechanismic explanations are one of the primary aims of factual sciences, we consider it as the task of molecular nutrition research to find profound, i.e. molecular-mechanismic, explanations for the conditions, characteristics and changes of organisms related to the organism-nutrition environment interaction.

  12. 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 ...

  13. 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”.

  14. Mathematical Modeling in Combustion Science

    CERN Document Server

    Takeno, Tadao

    1988-01-01

    An important new area of current research in combustion science is reviewed in the contributions to this volume. The complicated phenomena of combustion, such as chemical reactions, heat and mass transfer, and gaseous flows, have so far been studied predominantly by experiment and by phenomenological approaches. But asymptotic analysis and other recent developments are rapidly changing this situation. The contributions in this volume are devoted to mathematical modeling in three areas: high Mach number combustion, complex chemistry and physics, and flame modeling in small scale turbulent flow combustion.

  15. 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...

  16. [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.

  17. 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.

  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. 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…

  20. 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…

  1. 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.…

  2. 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...

  3. 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...

  4. 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...

  5. 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

  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. 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, ...

  8. 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 ...

  9. 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.

  10. 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.

  11. 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 ...

  12. 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 ...

  13. 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 ...

  14. 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, ...

  15. 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…

  16. 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.

  17. 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.

  18. Reforming Science and Mathematics Education

    Science.gov (United States)

    Lagowski, J. J.

    1995-09-01

    Since 1991, the National Science Foundation has signed cooperative agreements with 26 states to undertake ambitious and comprehensive initiatives to reform science, mathematics, and technology education. Collectively, those agreements are known as the State Systemic Initiatives (SSI's). Two complimentary programs, The Urban and Rural Systemic Initiatives (USI's and RSI's), address similar reforms in the nation's largest cities and poorest rural areas. The SSI Program departs significantly from past NSF practice in several ways. The funding is for a longer term and is larger in amount, and the NSF is taking a more activist role, seeking to leverage state and private funds and promote the coordination of programs within states. The Initiatives also have a stronger policy orientation than previous NSF programs have had. The NSF strategy is a reflection of the growing and widely held view that meaningful reforms in schools are most likely to be achieved through state initiatives that set clear and ambitious learning goals and standards; align all of the available policy levers in support of reform; stimulate school-level initiatives; and mobilize human and financial resources to support these changes. Two premises underlie systemic reform: (1) all children can meet significantly higher standards if they are asked to do so and given adequate opportunities to master the content, and (2) state and local policy changes can create opportunities by giving schools strong and consistent signals about the changes in practice and performance that are expected. Because this is an enormous investment of Federal resources that is intended to bring about deep, systemic improvement in the nation's ability to teach science and mathematics effectively, the NSF has contracted with a consortium of independent evaluators to conduct a review of the program. The first of the SSI's were funded in 1991, sufficiently long ago to begin to formulate some initial impressions of their impact. Take

  19. The art, science and philosophy of newborn care.

    Science.gov (United States)

    Singh, Meharban

    2014-06-01

    Neonates truly constitute the foundation of a nation and no sensible government can afford to neglect their needs and rights. In the last 50 y, technology has revolutionized neonatology and we have moved from an exceedingly passive or "hands-off" philosophy to an extremely aggressive or mechanistic approach. Deaths during first 28 d of life account for over 60 % of all infant deaths and 40 % of all deaths of under-5 children. If we have to further reduce infant mortality rate in our country we must focus our strategies to improve health and survival of newborn babies. There should be equitable distribution of resources for the care of mothers and babies in the community and establishment of high-tech newborn care facilities. In 21st century, we must delink and sever our dependence on traditional birth attendants or dais and develop necessary infrastructure and facilities to ensure that every pregnant woman is provided with essential antenatal care and all deliveries take place at health care facilities and they are conducted by trained health care professionals. In the best pediatric tradition, there is a need for greater focus on preventive rather than curative health care strategies because a large number of neonatal deaths occur due to potentially preventable disorders like birth asphyxia, hypothermia, hypoglycemia and infections. The art and science of neonatology should be integrated and we should follow a "middle path" and strike a balance between art and technology in the care of newborns.

  20. [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.

  1. 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.

  2. 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.

  3. 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

  4. 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.

  5. 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

  6. 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…

  7. 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 ...

  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)

    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 ...

  10. 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...

  11. 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...

  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. 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

  14. 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 ...

  15. 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 ...

  16. 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, ...

  17. 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 ...

  18. 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 ...

  19. 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 ...

  20. 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 ...

  1. 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 ...

  2. 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.

  3. 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 ...

  4. 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 ...

  5. 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 ...

  6. 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 ...

  7. 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

  8. 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 ...

  9. 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 ...

  10. 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.

  11. 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 ...

  12. 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.

  13. 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 , ...

  14. 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 ...

  15. 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, ...

  16. 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.

  17. 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.

  18. 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 ...

  19. 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.

  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. 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 ...

  3. 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 ...

  4. 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 ...

  5. 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.

  6. 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 ...

  7. 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.

  8. 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 ...

  9. 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...

  10. 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.

  11. 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…

  12. 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'…

  13. 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…

  14. 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…

  15. 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

  16. 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…

  17. 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.

  18. 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.

  19. Mathematical foundation of computer science

    CERN Document Server

    Singh, YN

    2005-01-01

    The interesting feature of this book is its organization and structure. That consists of systematizing of the definitions, methods, and results that something resembling a theory. Simplicity, clarity, and precision of mathematical language makes theoretical topics more appealing to the readers who are of mathematical or non-mathematical background. For quick references and immediate attentions¾concepts and definitions, methods and theorems, and key notes are presented through highlighted points from beginning to end. Whenever, necessary and probable a visual approach of presentation is used. The amalgamation of text and figures make mathematical rigors easier to understand. Each chapter begins with the detailed contents, which are discussed inside the chapter and conclude with a summary of the material covered in the chapter. Summary provides a brief overview of all the topics covered in the chapter. To demonstrate the principles better, the applicability of the concepts discussed in each topic are illustrat...

  20. Humanism: Philosophy, Science or Religion? | Ekanem | Lwati: A ...

    African Journals Online (AJOL)

    This is more compounding, as we now have such concepts or ideas as literary Humanism, Renaissance Humanism, cultural Humanism, philosophical Humanism, Religious Humanism, Christian Humanism, modern Humanism or scientific Humanism, secular Humanism among others. So, is humanism, a philosophy, ...

  1. Science and Mathematics in Astronomy

    Science.gov (United States)

    Woolack, Edward

    2009-01-01

    A brief historical introduction to the development of observational astronomy will be presented. The close historical relationship between the successful application of mathematical concepts and advances in astronomy will be presented. A variety of simple physical demonstrations, hands-on group activities, and puzzles will be used to understand how the properties of light can be used to understand the contents of our universe.

  2. 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

  3. 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…

  4. 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.

  5. 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.

  6. 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 ...

  7. 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 ...

  8. 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 ...

  9. 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 ...

  10. 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 ...

  11. 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 ...

  12. 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 ...

  13. 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 ...

  14. 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 ...

  15. 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 ...

  16. 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 ...

  17. 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 ...

  18. 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 ...

  19. 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 ...

  20. 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 ...

  1. 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 ...

  2. 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

  3. 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, ...

  4. 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 ...

  5. 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 ...

  6. 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 ...

  7. 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 ...

  8. 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, ...

  9. 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 ...

  10. 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 ...

  11. 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.

  12. 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...

  13. 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

  14. 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...

  15. 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 ...

  16. 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

  17. 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.

  18. 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…

  19. The part of cognitive science that is philosophy.

    Science.gov (United States)

    Dennett, Daniel C

    2009-04-01

    There is much good work for philosophers to do in cognitive science if they adopt the constructive attitude that prevails in science, work toward testable hypotheses, and take on the task of clarifying the relationship between the scientific concepts and the everyday concepts with which we conduct our moral lives. Copyright © 2009 Cognitive Science Society, Inc.

  20. 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.”

  1. Mathematical Sciences Research Institute Workshop

    CERN Document Server

    Mirror Symmetry I

    1998-01-01

    This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser, and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development. Vafa introduced the concept of quantum cohomology. Several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau, and Borcea discussed current knowledge about Calabi-Yau manifolds. Ferrara and his coauthors addressed special geometry and $N=2$ supergravity. Rocek proposed possible mirrors for Calabi-Yau manifolds with torsion. This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.

  2. 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

  3. 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…

  4. 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.

  5. Nonlinearity: The History and Philosophy of the Science

    Science.gov (United States)

    Burke, Kenneth M.

    2009-01-01

    This article provides for a concise history of nonlinearity from the context of the changing assumptions in science throughout the turn of the twentieth century. Concerned with the development of an ethics of technology in higher education, it establishes a background for ongoing research on quantitative methods in the social sciences. The history…

  6. Towards Systematicity: Comparing from the Perspective of Philosophy of Science

    Science.gov (United States)

    Pietraß, Manuela

    2017-01-01

    As in many other social sciences, in international and comparative education there is an epistemological schism between two main approaches, one of which is traditional whose methodology and methods are historical-hermeneutical, while the other is empirical and oriented towards the natural sciences. In international and comparative education,…

  7. Kant or Marx? Philosophy and the Origins of Social Science.

    Science.gov (United States)

    Scaff, Lawrence A.

    The origins of social science as a discipline are analyzed in terms of the German scientific community before 1920, which tended to define itself according to the theories of Karl Marx or Immanuel Kant. Following a brief introduction about the nature of social science debates in intellectual Germany, section 2 of the paper considers whether the…

  8. 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…

  9. 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)…

  10. 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…

  11. 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…

  12. 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…

  13. 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.

  14. Developments and departures in the philosophy of soil science

    Science.gov (United States)

    Traditional soil science curriculums provide comprehensive instruction on soil properties, soil classification, and the physical, chemical, and biological processes that occur in soils. This reductionist perspective is sometimes balanced with a more holistic perspective that focuses on soils as natu...

  15. 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

  16. 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

  17. 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

  18. 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.

  19. 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

  20. Substance and method studies in philosophy of science

    CERN Document Server

    Liu, Chuang

    2015-01-01

    The book contains in-depth discussions in a rigorous manner of a host of interconnected issues and problems concerning the foundations of science. Some issues concern the substance of scientific subjects, such as the nature of spacetime and the problems in quantum mechanics, while other issues concern the methodology of science, such as the nature of theorization, idealization, as well as modeling. These discussions aim at clarifying the issues and problems, reviewing the proposed views and solutions, mapping out their logical spaces, and arguing for preferred views or solutions.

  1. 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.

  2. Information Theory for Information Science: Antecedents, Philosophy, and Applications

    Science.gov (United States)

    Losee, Robert M.

    2017-01-01

    This paper provides an historical overview of the theoretical antecedents leading to information theory, specifically those useful for understanding and teaching information science and systems. Information may be discussed in a philosophical manner and at the same time be measureable. This notion of information can thus be the subject of…

  3. Serres' philosophy of science. An introduction for business ethicists

    NARCIS (Netherlands)

    Bos, R. ten

    2011-01-01

    Many of the issues discussed in the field of business ethicists seem to involve a certain understanding of science. For example, the debates about sustainability or globalization oftentimes appeal to scientific understandings about facts and processes taking place in the actual world. Hardly ever,

  4. Big Data: Philosophy, Emergence, Crowdledge, and Science Education

    Science.gov (United States)

    dos Santos, Renato P.

    2015-01-01

    Big Data already passed out of hype, is now a field that deserves serious academic investigation, and natural scientists should also become familiar with Analytics. On the other hand, there is little empirical evidence that any science taught in school is helping people to lead happier, more prosperous, or more politically well-informed lives. In…

  5. Facts as Theory: Aspects of Goethe's Philosophy of Science.

    Science.gov (United States)

    Zajonc, Arthur G.

    1983-01-01

    After showing that Goethe's declarations and admonishments concerning the scope and methods of science often foreshadowed later developments, the author reconsiders Goethe's own scientific efforts. Goethe continually strove to fully integrate human experience into all levels of scientific inquiry and discovery. (JMK)

  6. 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.

  7. 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 ...

  8. 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 ...

  9. 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 ...

  10. 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.

  11. 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.

  12. 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 ...

  13. 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 ...

  14. 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.

  15. 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 ...

  16. 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 ...

  17. 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 ...

  18. 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 ...

  19. 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 ...

  20. 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 ...

  1. 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 ...

  2. 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 ...

  3. 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 ...

  4. 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 ...

  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)

    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 ...

  7. 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 ...

  8. 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 ...

  9. 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 ...

  10. 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 ...

  11. 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 ...

  12. 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 ...

  13. 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.

  14. 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.

  15. 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 ...

  16. 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).

  17. 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.

  18. 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 ...

  19. 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.

  20. 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 ...

  1. 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 ...

  2. 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 ...

  3. 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 ...

  4. 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 ...

  5. 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.

  6. 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- ...

  7. 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?

  8. Process and progress: John Hughlings Jackson's philosophy of science.

    Science.gov (United States)

    Jacyna, L Stephen

    2011-10-01

    Some scepticism has been voiced over whether the work of John Hughlings Jackson possesses any significant philosophical orientation. This article argues that Hughlings Jackson was acquainted with the work of a wide range of philosophers. In particular, certain aspects of the writings of John Stuart Mill are reflected in Hughlings Jackson's own work. From early in his career, Hughlings Jackson adopted a critical stance in his neurological papers, seeking to expose shortcomings in the conventional practices of his peers and urging greater methodological rigour and sophistication in order to advance their science. This critical and 'procedurist' bias endows Hughlings Jackson's writings with a characteristically modern character.

  9. Explaining History. Hippolyte Taine's Philosophy of Historical Science

    Science.gov (United States)

    Müller, Philipp

    Historians of European historiography have often characterized Hippolyte Taine (1828-1893) as an adherent of the positivist school of thought, typical for the development of a scientific culture in Western Europe that differed from its German counterpart.1 In accordance with that view, Wilhelm Dilthey grouped him together with other scholars like John Stuart Mill and Herbert Spencer against who Dilthey tried to develop his conception of the human sciences based on the notion of "verstehen" (see Dilthey [1924] 1957, 139ff.). Dilthey understood Taine as proposing to analyze the human mind by identifying its individual components and then explaining their meaning by laws of their relation. He argued that such an approach might be adequate for the natural sciences, but neglected the fact that an analysis of the mind had to start from a given psychological connection that was prior to any definition of particular phenomena. From Dilthey's point of view, applying Taine's theory to historical studies only made them look more objective while actually Taine was unaware of just following the prevailing convictions of his time (idem, 191f.).

  10. 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…

  11. 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.

  12. 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...

  13. 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...

  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. Russell's Unknown Logicism A Study in the History and Philosophy of Mathematics

    CERN Document Server

    Gandon, Professor Sebastien

    2012-01-01

    In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics, meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content.

  16. 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).

  17. Philosophy of mathematics an introduction to a world of proofs and pictures

    CERN Document Server

    Brown, James Robert

    1999-01-01

    This text discusses the great philosophers and the importance of mathematics to their thought. It includes topics such as: the mathematical image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; picture-proofs and Wittgenstein; and computation, proof and conjecture.

  18. 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.

  19. 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 ...

  20. 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.

  1. Science, Engineering, Mathematics and Aerospace Academy

    Science.gov (United States)

    1997-01-01

    This is an annual report on the Science, Engineering, Mathematics, and Aerospace Academy (SEMAA), which is run as a collaborative effort of NASA Lewis Research Center, and Cuyahgoga Community College. The purpose of SEMA is to increase the percentage of African Americans, and Hispanics in the fields of science and technology. The SEMAA program reaches from kindergarden, to grade 12, involving the family of under-served minorities in the education of the children. The year being reported (i.e., 1996-1997) saw considerable achievement. The program served over 1,939 students, and 120 parents were involved in various seminars. The report goes on to review the program and its implementation for each grade level. It also summarizes the participation, by gender and ethnicity.

  2. 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.

  3. 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

  4. 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.

  5. Boethius and the Importance of Basic Logic and Mathematics for Philosophy

    NARCIS (Netherlands)

    Wang, Qi

    2014-01-01

    Anicius Manlius Severinus Boethius (480-525 A.D.) is regarded as a great thinker of the early Middle Ages. Indeed, Boethius is a man of immense erudition and his works touch upon many philosophical fields, including mathematics, logic and theology. In Boethius’ classification system, mathematics and

  6. 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.

  7. 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...

  8. 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...

  9. 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.

  10. [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.

  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. 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)

  13. Logic, mathematics, philosophy, vintage enthusiasms essays in honour of John L. Bell

    CERN Document Server

    DeVidi, David; Clark, Peter

    2011-01-01

    This book collects papers presented in honor of John L. Bell's 60th birthday. Includes contributions to current philosophical debate, new mathematical results, important historical surveys, and a translation by Wilfrid Hodges of a key work of arabic logic.

  14. 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…

  15. 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…

  16. 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…

  17. 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…

  18. 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:…

  19. 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)…

  20. 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

  1. 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

  2. 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.

  3. Student Perceptions of a Mathematics Major for Prospective Elementary Teachers with an Inquiry-Based Philosophy

    Science.gov (United States)

    Cook, Samuel A.; Borkovitz, Debra K.

    2017-01-01

    In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…

  4. Mathematical logic foundations for information science

    CERN Document Server

    Li, Wei

    2010-01-01

    This book presents the basic principles and formal calculus of mathematical logic. It covers core contents, extensions and developments of classical mathematical logic, and it offers formal proofs and concrete examples for all theoretical results.

  5. 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 ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, India; Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Madhurawada, Visakhapatnam 530 048, India; Department of Mathematics, Sri Prakash College of Engineering, Tuni 533 401, India ...

  7. 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.

  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 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.

  10. 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.

  11. 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...

  12. 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.

  13. 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).

  14. Mathematics, Science and the Cambridge Tradition

    OpenAIRE

    Nuno Ornelas Martins

    2012-01-01

    Copyright © 2012 World Economics Association. In this paper the use of mathematics in economics will be discussed, by comparing two approaches to mathematics, a Cartesian approach, and a Newtonian approach. I will argue that while mainstream economics is underpinned by a Cartesian approach which led to a divorce between mathematics and reality, the contributions of key authors of the Cambridge tradition, like Marshall, Keynes and Sraffa, are characterised by a Newtonian approach to mathema...

  15. 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.

  16. 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...

  17. 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

  18. 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.

  19. 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.

  20. 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…

  1. 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…

  2. 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…

  3. Science Academies' Refresher Course in Mathematics

    Indian Academy of Sciences (India)

    IAS Admin

    2015-06-14

    Jun 14, 2015 ... A two-week Refresher Course in Mathematics will be organized during 1–14 June 2015 at School of Mathematics,. SMVD University, Katra, Jammu & Kashmir in association with School of Innovation and Community Develop- ment, SMVDU. The aim of the Course is to display the beauty of “complex ...

  4. Identity Discourse in Preservice Teachers' Science Learning Autobiographies and Science Teaching Philosophies

    Science.gov (United States)

    Hsu, Pei-Ling; Reis, Giuliano; Monarrez, Angelica

    2017-01-01

    Research in science education has shown that one's identities as science learner and teacher can mediate their pedagogical practices. Grounded in the perspective that language is a resource for identity (re)construction (Gee, 2000), the present study sought to understand how preservice science teachers' identities were manifested in their…

  5. 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...

  6. 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.

  7. Mathematical sciences for climate change resilience (MS4CR ...

    International Development Research Centre (IDRC) Digital Library (Canada)

    This project will support the African Institute for Mathematical Sciences' Next Einstein Initiative (AIMS-NEI) in building a critical ... IDRC invites applications for the IDRC Research Awards 2019 ... ROSSA's latest bulletin puts a focus on women.

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

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences. ... The level of detail varies; some disciplines produce manuscripts that comprise discrete .... Duplicate publication, sometimes called self-plagiarism, occurs when an author ...

  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. Rendering LGBTQ+ Visible in Nursing: Embodying the Philosophy of Caring Science.

    Science.gov (United States)

    Goldberg, Lisa; Rosenburg, Neal; Watson, Jean

    2017-06-01

    Although health care institutions continue to address the importance of diversity initiatives, the standard(s) for treatment remain historically and institutionally grounded in a sociocultural privileging of heterosexuality. As a result, lesbian, gay, bisexual, transgender, and queer (LGBTQ+) communities in health care remain largely invisible. This marked invisibility serves as a call to action, a renaissance of thinking within redefined boundaries and limitations. We must therefore refocus our habits of attention on the wholeness of persons and the diversity of their storied experiences as embodied through contemporary society. By rethinking current understandings of LGBTQ+ identities through innovative representation(s) of the media, music industry, and pop culture within a caring science philosophy, nurses have a transformative opportunity to render LGBTQ+ visible and in turn render a transformative opportunity for themselves.

  11. "Exploratory experimentation" as a probe into the relation between historiography and philosophy of science.

    Science.gov (United States)

    Schickore, Jutta

    2016-02-01

    This essay utilizes the concept "exploratory experimentation" as a probe into the relation between historiography and philosophy of science. The essay traces the emergence of the historiographical concept "exploratory experimentation" in the late 1990s. The reconstruction of the early discussions about exploratory experimentation shows that the introduction of the concept had unintended consequences: Initially designed to debunk philosophical ideas about theory testing, the concept "exploratory experimentation" quickly exposed the poverty of our conceptual tools for the analysis of experimental practice. Looking back at a number of detailed analyses of experimental research, we can now appreciate that the concept of exploratory experimentation is too vague and too elusive to fill the desideratum whose existence it revealed. Copyright © 2015 Elsevier Ltd. All rights reserved.

  12. An Applied Mereology of the City: Unifying Science and Philosophy for Urban Planning.

    Science.gov (United States)

    Epting, Shane

    2016-10-01

    Based on their research showing that growing cities follow basic principles, two theoretical physicists, Luis Bettencourt and Geoffrey West, call for researchers and professionals to contribute to a grand theory of urban sustainability. In their research, they develop a 'science of the city' to help urban planners address problems that arise from population increases. Although they provide valuable insights for understanding urban sustainability issues, they do not give planners a manageable way to approach such problems. I argue that developing an applied mereology to understand the concept of 'city identity' gives planners a theoretical device for addressing urban affairs, including ethical concerns. In turn, I devise a model of city identity to show how a 'philosophy of the city' contributes to a grand theory of urban sustainability.

  13. [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.

  14. Exploring Interdisciplinarity: a theoretical consideration of Bioethics at the interface between Theology, Philosophy and Life Sciences

    Directory of Open Access Journals (Sweden)

    Leentie de Lange

    2009-04-01

    Full Text Available Complex ethical problems resulting from research and advances in biotechnologies increasingly confront Christian ministers and theologians with difficult and complex moral dilemmas. Where do they turn to in order to give guidance and answer questions concerning practical bioethical problems? This article argues that Bioethics as the systematic study of specific moral dilemmas implies conjoining a variety of ethical methodologies in an interdisciplinary framework. In trying to clarify this complex nature of Bioethics when practiced specifically from a Christian Theological viewpoint, the article examines theoretical considerations regarding the interface between three contributing disciplines, viz. Theology, Philosophy and Life Sciences. This is done by investigating three questions: What is the place of Bioethics in the hierarchy of disciplines? In what way do Philosophy, Theology, and Life Sciences contribute to the theoretical foundations of interdisciplinary Bioethics?, and How do different methodologies relate to one another in order to show the true interdisciplinary character of Bioethics? The article concludes that it is vital to re-examine the theoretical basis of Bioethics as a philosophical grounding or methodology in order to place moral knowledge within a meta-theoretical and epistemological framework. It is clear that Bioethics is a complex endeavour served by many disciplines, as well as a complex interdisciplinary form of knowledge. Scholars, scientists and theologians must all learn to transcend the barriers between the multitude of interrogational disciplines and endeavour to work towards designing a well- founded and meaningful framework within which the methodological assumptions and theoretical grounding have been clarified, and one which also recognizes the complex interdisciplinary nature of Bioethics.

  15. 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

  16. 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.

  17. 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.

  18. Applied mathematics for science and engineering

    CERN Document Server

    Glasgow, Larry A

    2014-01-01

    Prepare students for success in using applied mathematics for engineering practice and post-graduate studies moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques Uses different examples from chemical, civil, mechanical and various other engineering fields Based on a decade's worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

  19. Alchemy & algorithms: perspectives on the philosophy and history of open science

    Directory of Open Access Journals (Sweden)

    Leo Lahti

    2017-05-01

    Full Text Available This paper gives the reader a chance to experience, or revisit, PHOS16: a conference on the History and Philosophy of Open Science. In the winter of 2016, we invited a varied international group to engage with these topics at the University of Helsinki, Finland. Our aim was a critical assessment of the defining features, underlying narratives, and overall objectives of the contemporary open science movement. The event brought together contemporary open science scholars, publishers, and advocates to discuss the philosophical foundations and historical roots of openness in academic research. The eight sessions combined historical views with more contemporary perspectives on topics such as transparency, reproducibility, collaboration, publishing, peer review, research ethics, as well as societal impact and engagement. We gathered together expert panelists and 15 invited speakers who have published extensively on these topics, which allowed us to engage in a thorough and multifaceted discussion. Together with our involved audience we charted the role and foundations of openness of research in our time, considered the accumulation and dissemination of scientific knowledge, and debated the various technical, legal, and ethical challenges of the past and present. In this article, we provide an overview of the topics covered at the conference as well as individual video interviews with each speaker. In addition to this, all the talks were recorded and they are offered here as an openly licensed community resource in both video and audio form.

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Amir Mafi1 2. Department of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran; Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Deepak Kumar Gumber1 Ram Karan2 Indu Pal2. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India; Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. M Subbiah1 V Ganesh2. Department of Mathematics, Pondicherry University, Kalapet, Pondicherry 605 014, India; Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham University, Ettimadai, Coimbatore 641 105, India ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Saurav Bhaumik1 Vikram Mehta2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India; Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Hassan Azad1 Indranil Biswas2. Department of Mathematics and Statistics, King Fahd University, Saudi Arabia; School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Yanheng Chen1 2 Guiyun Chen1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China; School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, People's Republic of China ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Nazim Agayev1 Tahire Özen2 Abdullah Harmanci3. Department of Pedagogy, Qafqaz University, Baku Azerbaijan; Mathematics Department, Ízzet Baysal University, Bolu, Türkiye; Mathematics Department, Hacettepe University, Ankara, Türkiye ...

  7. 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...

  8. The re-emergence of hyphenated history-and-philosophy-of-science and the testing of theories of scientific change.

    Science.gov (United States)

    Laudan, Larry; Laudan, Rachel

    2016-10-01

    A basic premise of hyphenated history-and-philosophy-of-science is that theories of scientific change have to be based on empirical evidence derived from carefully constructed historical case studies. This paper analyses one such systematic attempt to test philosophical claims, describing its historical context, rationale, execution, and limited impact. Copyright © 2016 Elsevier Ltd. All rights reserved.

  9. 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...

  10. 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.

  11. Creators of mathematical and computational sciences

    CERN Document Server

    Agarwal, Ravi P

    2014-01-01

    The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life. … presents a picture of mathematics as a creation of the human imagination. … brings the history of mathematics to life by describing the contributions of the world’s greatest mathematicians. —Rex F. Gandy, Provost and Vice President for Academic Affairs, TAMUK   It starts with the explanation and history of numbers, arithmetic, ...

  12. 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.

  13. 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...

  14. Performing the Future. On the Use of Drama in Philosophy Courses for Science Students

    Science.gov (United States)

    Toonders, Winnie; Verhoeff, Roald P.; Zwart, Hub

    2016-10-01

    Drama is a relatively unexplored tool in academic science education. This paper addresses in what way the use of drama may allow science students to deepen their understanding of recent developments in the emerging and controversial field of neuro-enhancement, by means of a case study approach. First, we emphasise the congruency between drama and science, notably the dramatic dimension of experimental research. Subsequently, we draw on educational literature to elaborate the potential of using drama as a teaching modality, specifically focusing on the ethical and moral dimensions of future techno-scientific innovations. Our case study consisted of a drama experiment as a module in a philosophy course on human enhancement. Twenty-two students from various science disciplines performed multiple roles, as authors, actors, audience and reviewers. Qualitative data were collected on the educational process and student performance during the course, i.e. observations and video recordings of class discussions, group work and plays, interviews and questionnaires. Our drama experiment proved to be effective in enabling students to explore and relate to a future life world affected by enhancement technologies. It allowed them to deepen their awareness of social and ethical implications of neuro-technologies and of the different viewpoints people may have on this issue in academic, professional or everyday settings. Moreover, drama allowed them to develop a reflexive position of their own in the neuro-enhancement debate by enacting a moral dilemma in front of an audience. Our results confirm the potential of drama as a tool for exploring techno-scientific futures in science education.

  15. The Scientific Theory Profile: A Philosophy of Science Model for Science Teachers.

    Science.gov (United States)

    Loving, Cathleen

    The model developed for use with science teachers--called the Scientific Theory Profile--consists of placing three well-known philosophers of science on a grid, with the x-axis being their methods for judging theories (rational vs. natural) and the y-axis being their views on scientific theories representing the Truth versus mere models of what…

  16. 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.

  17. The ABCDEF Bundle: Science and Philosophy of How ICU Liberation Serves Patients and Families.

    Science.gov (United States)

    Ely, E Wesley

    2017-02-01

    Over the past 20 years, critical care has matured in a myriad of ways resulting in dramatically higher survival rates for our sickest patients. For millions of new survivors comes de novo suffering and disability called "the postintensive care syndrome." Patients with postintensive care syndrome are robbed of their normal cognitive, emotional, and physical capacity and cannot resume their previous life. The ICU Liberation Collaborative is a real-world quality improvement initiative being implemented across 76 ICUs designed to engage strategically the ABCDEF bundle through team- and evidence-based care. This article explains the science and philosophy of liberating ICU patients and families from harm that is both inherent to critical illness and iatrogenic. ICU liberation is an extensive program designed to facilitate the implementation of the pain, agitation, and delirium guidelines using the evidence-based ABCDEF bundle. Participating ICU teams adapt data from hundreds of peer-reviewed studies to operationalize a systematic and reliable methodology that shifts ICU culture from the harmful inertia of sedation and restraints to an animated ICU filled with patients who are awake, cognitively engaged, and mobile with family members engaged as partners with the ICU team at the bedside. In doing so, patients are "liberated" from iatrogenic aspects of care that threaten his or her sense of self-worth and human dignity. The goal of this 2017 plenary lecture at the 47th Society of Critical Care Medicine Congress is to provide clinical ICU teams a synthesis of the literature that led to the creation of ICU liberation philosophy and to explain how this patient- and family-centered, quality improvement program is novel, generalizable, and practice changing.

  18. Unforgivable Sinners? Epistemological and Psychological Naturalism in Husserl’s Philosophy as a Rigorous Science

    Directory of Open Access Journals (Sweden)

    Andrea Sebastiano Staiti

    2012-01-01

    Full Text Available In this paper I present and assess Husserl's arguments against epistomological and psychological naturalism in his essay Philosophy as a Rigorous Science. I show that his critique is directed against positions that are generally more extreme than most currently debated variants of naturalism. However, Husserl has interesting thoughts to contribute to philosophy today. First, he shows that there is an important connection between naturalism in epistemology (which in his view amounts to the position that the validity of logic can be reduced to the validity natural laws of thinking and naturalism in psychology (which in his view amounts to the position that all psychic occurrences are merely parallel accompaniments of physiological occurrences. Second, he shows that a strong version of epistemological naturalism is self-undermining and fails to translate the cogency of logic in psychological terms. Third, and most importantly for current debates, he attacks Cartesianism as a form of psychological naturalism because of its construal of the psyche as a substance. Against this position, Husserl defends the necessity to formulate new epistemic aims for the investigation of consciousness. He contends that what is most interesting about consciousness is not its empirical fact but its transcendental function of granting cognitive access to all kinds of objects (both empirical and ideal. The study of this function requires a specific method (eidetics that cannot be conflated with empirical methods. I conclude that Husserl's analyses offer much-needed insight into the fabric of consciousness and compelling arguments against unwarranted metaphysical speculations about the relationship between mind and body.

  19. Colloquy on Minority Males in Science, Technology, Engineering, and Mathematics

    Science.gov (United States)

    Didion, Catherine; Fortenberry, Norman L.; Cady, Elizabeth

    2012-01-01

    On August 8-12, 2010 the National Academy of Engineering (NAE), with funding from the National Science Foundation (NSF), convened the Colloquy on Minority Males in Science, Technology, Engineering, and Mathematics (STEM), following the release of several reports highlighting the educational challenges facing minority males. The NSF recognized the…

  20. Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science

    Science.gov (United States)

    Cady, Jo Ann; Rearden, Kristin

    2007-01-01

    This study examines the beliefs of K-8 preservice teachers during a content methods course. The goals of this course included exposing the preservice teachers to student-centered instructional methods for math and science and encouraging the development of lessons that would integrate mathematics and science. Prior research suggested that one must…

  1. Taiwanese Preservice Teachers' Science, Technology, Engineering, and Mathematics Teaching Intention

    Science.gov (United States)

    Lin, Kuen-Yi; Williams, P. John

    2016-01-01

    This study applies the theory of planned behavior as a basis for exploring the impact of knowledge, values, subjective norms, perceived behavioral controls, and attitudes on the behavioral intention toward science, technology, engineering, and mathematics (STEM) education among Taiwanese preservice science teachers. Questionnaires (N = 139)…

  2. Rural Alaska Science and Mathematics Network

    National Research Council Canada - National Science Library

    Brunk, Blanche R

    2005-01-01

    ...), are awarded to Alaska Native students. Academic preparation, lack of exposure to science careers in rural Alaska, and little connection between western science and Native traditional life have combined to impede Native students' interest...

  3. Rural Alaska Science and Mathematics Network

    National Research Council Canada - National Science Library

    Brunk, Blanche R

    2005-01-01

    ... and progress in math and science education. The goal of this project was to develop and deliver, both on-site and through distance learning, a comprehensive program of developmental and college preparatory math and science courses at minority...

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

    Science.gov (United States)

    Gelfert, Axel

    2014-03-01

    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 sometimes been scrutinized for anticipations of later scientific developments. By contrast, the present paper argues that it should be understood as a contribution to the raging debates about scientific methodology at the time. This methodological interest, which is echoed in Poe's `tales of ratiocination', gives rise to a proposed new mode of—broadly abductive—inference, which Poe attributes to the hybrid figure of the `poet-mathematician'. Without creative imagination and intuition, Science would necessarily remain incomplete, even by its own standards. This concern with imaginative (abductive) inference ties in nicely with his coherentism, which grants pride of place to the twin virtues of Simplicity and Consistency, which must constrain imagination lest it degenerate into mere fancy.

  5. [Common sense, science and philosophy: the links of knowledge necessary for promoting health care].

    Science.gov (United States)

    Rios, Ediara Rabello Girão; Franchi, Kristiane Mesquita Barros; da Silva, Raimunda Magalhães; de Amorim, Rosendo Freitas; Costa, Nhandeyjara de Carvalho

    2007-01-01

    In its evolution, humanity has accumulated data which were systematized as knowledge. Philosophy through self examination helps us in its practical and theoretical functions to reach a concept of the universe. Common sense helps science evolve. People's daily difficulties stir up the need for research, for deepening data interpretation and to propose solutions to overcome the population's problems. Science exists to explain difficult aspects of common sense, to support questions, as well as to substantiate knowledge produced as a response to demands. Thus, knowledge involved in this reflection sets out to foster an articulation between basic forms of knowledge and to develop a satisfactory understanding of the health care process, through a shared and critically consciousness view of the changes in the health system's paradigm. We understand that health education is an essential component within this process, provided that it is focused primarily on an individual belonging to a community with its multiple relationships, especially between the community context and the subjective dimension, which can provide citizenship empowerment redemption.

  6. Connecting Inquiry and Values in Science Education - An Approach Based on John Dewey's Philosophy

    Science.gov (United States)

    Lee, Eun Ah; Brown, Matthew J.

    2018-01-01

    Conducting scientific inquiry is expected to help students make informed decisions; however, how exactly it can help is rarely explained in science education standards. According to classroom studies, inquiry that students conduct in science classes seems to have little effect on their decision-making. Predetermined values play a large role in students' decision-making, but students do not explore these values or evaluate whether they are appropriate to the particular issue they are deciding, and they often ignore relevant scientific information. We explore how to connect inquiry and values, and how this connection can contribute to informed decision-making based on John Dewey's philosophy. Dewey argues that scientific inquiry should include value judgments and that conducting inquiry can improve the ability to make good value judgments. Value judgment is essential to informed, rational decision-making, and Dewey's ideas can explain how conducting inquiry can contribute to make an informed decision through value judgment. According to Dewey, each value judgment during inquiry is a practical judgment guiding action, and students can improve their value judgments by evaluating their actions during scientific inquiry. Thus, we suggest that students need an opportunity to explore values through scientific inquiry and that practicing value judgment will help informed decision-makings.

  7. Connecting Inquiry and Values in Science Education. An Approach Based on John Dewey's Philosophy

    Science.gov (United States)

    Lee, Eun Ah; Brown, Matthew J.

    2018-03-01

    Conducting scientific inquiry is expected to help students make informed decisions; however, how exactly it can help is rarely explained in science education standards. According to classroom studies, inquiry that students conduct in science classes seems to have little effect on their decision-making. Predetermined values play a large role in students' decision-making, but students do not explore these values or evaluate whether they are appropriate to the particular issue they are deciding, and they often ignore relevant scientific information. We explore how to connect inquiry and values, and how this connection can contribute to informed decision-making based on John Dewey's philosophy. Dewey argues that scientific inquiry should include value judgments and that conducting inquiry can improve the ability to make good value judgments. Value judgment is essential to informed, rational decision-making, and Dewey's ideas can explain how conducting inquiry can contribute to make an informed decision through value judgment. According to Dewey, each value judgment during inquiry is a practical judgment guiding action, and students can improve their value judgments by evaluating their actions during scientific inquiry. Thus, we suggest that students need an opportunity to explore values through scientific inquiry and that practicing value judgment will help informed decision-makings.

  8. Anti-reductionism at the confluence of philosophy and science: Arthur Koestler and the biological periphery

    Science.gov (United States)

    Stark, James F.

    2016-01-01

    The Hungarian-born intellectual Arthur Koestler produced a wide-ranging corpus of written work throughout the mid twentieth century. Despite being the subject of two huge biographies in recent years, his long-standing engagement with numerous scientific disciplines remains unexplored. This paper situates Koestler's scientific philosophy within the context of mid-twentieth-century science and explores his relationship with key figures, including Dennis Gábor, C. H. Waddington, Ludwig von Bertalanffy and J. R. Smythies. The argument presented is threefold. First, surprisingly, serious scientists, particularly in the biological sciences, took Koestler's scientific work seriously; second, despite Koestler's best efforts, his allies could not agree on a single articulation of anti-reductionism; and third, the reductionist/anti-reductionist debates of the mid twentieth century constituted a battle for the authority to speak on behalf of ‘science’ that led Koestler into direct conflict with figures including Peter Medawar. By exploring the community associated with Koestler, the paper sheds new light on the status of scientific authority and the relationship between scientists’ metaphysical beliefs and their practices.

  9. Algorithms in Modern Mathematics and Computer Science.

    Science.gov (United States)

    1980-01-01

    importance, since we will go on doing what we are doing no matter what it is called; after all, other disciplines like Mathematics and Chemistry are no...longer related very strongly to the etymology of their names. However, if I had a chance to vote for the name of my own discipline, I would choose to call

  10. Key Concept Mathematics and Management Science Models

    Science.gov (United States)

    Macbeth, Thomas G.; Dery, George C.

    1973-01-01

    The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)

  11. 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

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Mathematics, The University of Texas – Pan American, 1201 West University Drive, Edinburg, TX 78539, USA; School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA; Departamento de Matemáticas, Universidad de Antioquia, Calle 67 N◦53-108, Medellín, Colombia, USA ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Universität Bonn, Institut für Angewandte Mathematik, Abt. für Stochastik, 53115 Bonn, Wegelerstr. 6, Deutschland; Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania; Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Matija Cencelj1 Dušan Repovš1 Mikhail B Skopenkov2. Institute for Mathematics, Physics and Mechanics and Faculty of Education, University of Ljubljana, P.O. Box 2964, 1001 Ljubljana, Slovenia; Department of Differential Geometry, Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119992, ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Taras Radul1 Dušan Repovš2. Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, Lviv, Ukraine 79602; Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 21, Ljubljana, Slovenia 1000 ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Nadeem Ur Rehman2 Joso Vukman3. Faculty of Logistics, University of Maribor, Mariborska cesta 7, 3000 Celje, Slovenia; Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India; Department of Mathematics, Physics and Mechanics, University of Maribor, Gosposvetska 84, 2000 Maribor, Slovenia ...

  17. Euler European Libraries and Electronic Resources in Mathematical Sciences

    CERN Document Server

    The Euler Project. Karlsruhe

    The European Libraries and Electronic Resources (EULER) Project in Mathematical Sciences provides the EulerService site for searching out "mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports preprints) and NetLab (for Internet resources), this outstanding engine is capable of simple, full, and refined searches. It also offers a browse option, which responds to entries in the author, keyword, and title fields. Further information about the Project is provided at the EULER homepage.

  18. Preparing Elementary Mathematics-Science Teaching Specialists.

    Science.gov (United States)

    Miller, L. Diane

    1992-01-01

    Describes a professional development program to train math/science specialists for the upper elementary school grades. Using results from an interest survey, 30 teachers were chosen to participate in a 3-year program to become math/science specialists. Presents the teaching model used and the advantages for teachers and students in having subject…

  19. Conventionalism, structuralism and neo-Kantianism in Poincaré's philosophy of science

    Science.gov (United States)

    Ivanova, Milena

    2015-11-01

    Poincaré is well known for his conventionalism and structuralism. However, the relationship between these two theses and their place in Poincaré's epistemology of science remain puzzling. In this paper I show the scope of Poincaré's conventionalism and its position in Poincaré's hierarchical approach to scientific theories. I argue that for Poincaré scientific knowledge is relational and made possible by synthetic a priori, empirical and conventional elements, which, however, are not chosen arbitrarily. By examining his geometric conventionalism, his hierarchical account of science and defence of continuity in theory change, I argue that Poincaré defends a complex structuralist position based on synthetic a priori and conventional elements, the mind-dependence of which precludes epistemic access to mind-independent structures. The object of mathematical theories is not to reveal to us the real nature of things; that would be an unreasonable claim. Their only object is to coordinate the physical laws with which physical experiments make us acquainted, the enunciation of which, without the aid of mathematics, would be unable to effect. (Poincaré, 2001, 117)

  20. On the borderline between Science and Philosophy: A debate on determinism in France around 1880.

    Science.gov (United States)

    Bordoni, Stefano

    2015-02-01

    In the second half of the nineteenth century, a new interest in explosive chemical reactions, sudden release of energy in living beings, physical instabilities, and bifurcations in the solutions of differential equations drew the attention of some scholars. New concepts like triggering actions and guiding principles also emerged. Mathematicians, physicists, physiologists, and philosophers were attracted by this kind of phenomena since they raised a question about the actual existence of a strict determinism in science. In 1878 the mathematical physicist Joseph Boussinesq pointed out a structural analogy among physical instabilities, some essential features of living beings, and singular solutions of differential equations. These developments revived long-lasting philosophical debates on the problematic link between deterministic physical laws and free will. We find in Boussinesq an original and almost isolated attempt to merge mathematical, physical, biological, and philosophical issues into a complex intellectual framework. In the last decades, some philosophers of science rediscovered the connection between physical instabilities and determinism, both in the context of chaos theory, and in the debates on the Norton dome. I put forward a consistent historical reconstruction of the main issues and characters involved. Copyright © 2014 Elsevier Ltd. All rights reserved.

  1. 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.

  2. 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…

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Special issue devoted to advances in specific areas of mathematics and proceedings of selected high quality conferences are also published. ... Editorial Manager is a user-friendly online submission and review management system. Authors ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. A Carriazo1 L M Fernández1 A Rodríguez-Hidalgo1. Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 1160, 41080-Sevilla, Spain ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Stephen Dias Barreto1 2. Stat. Math. Unit, Indian Statistical Institute, Bangalore 560 059, India; Department of Mathematics, Goa University, Sub P.O. Goa University, Taleigao Plateau, Goa 403 206 ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India; Department of Mathematics and Statistics, Queen's University, Jeffrey Hall, 99 University Avenue, Kingston, ON, Canada K7L 3N6 ...

  7. Integrating History and Philosophy of the Life Sciences in Practice to Enhance Science Education: Swammerdam's "Historia Insectorum Generalis" and the Case of the Water Flea

    Science.gov (United States)

    Kendig, Catherine

    2013-01-01

    Hasok Chang ("Sci Educ" 20:317-341, 2011) shows how the recovery of past experimental knowledge, the physical replication of historical experiments, and the extension of recovered knowledge can increase scientific understanding. These activities can also play an important role in both science and history and philosophy of science…

  8. Mathematics for informatics and computer science

    CERN Document Server

    Audibert, Pierre

    2013-01-01

    How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network ? To this kind of questions Mathematics applied to computer gives a stimulating and exhaustive answer. This text, presented in three parts (Combinatorics, Probability, Graphs) addresses all those who wish to acquire basic or advanced knowledge in combinatorial theories. It is actually also used as a textbook. Basic and advanced theoretical elements are presented through simple applications like the Sudoku game, search engine al

  9. Graph comprehension in science and mathematics education: Objects and categories

    DEFF Research Database (Denmark)

    Voetmann Christiansen, Frederik; May, Michael

    types of registers. In the second part of the paper, we consider how diagrams in science are often composites of iconic and indexical elements, and how this fact may lead to confusion for students. In the discussion the utility of the Peircian semiotic framework for educational studies......, the typological mistake of considering graphs as images is discussed related to litterature, and two examples from engineering education are given. The educational implications for science and engineering are discussed, with emphasis on the need for students to work explicitly with conversions between different...... of representational forms in science is discussed, and how the objects of mathematics and science relate to their semiotic representations....

  10. A study of the Teachers` Academy for Mathematics and Science

    Energy Technology Data Exchange (ETDEWEB)

    Brett, B.; Scheirer, M.A.; Raizen, S.

    1994-09-15

    The Teachers` Academy for Mathematics and Science in Chicago (TAMS) is a freestanding institution founded in 1989 by scientists and a variety of other stakeholders, to advance the systemic reform of mathematics and science education in Chicago`s public schools. It focuses on the ``re-tooling`` of its elementary level teachers. The TAMS program, which has been funded in part by the DOE, contributes to strategic goals two through five of the Office of University and Science Education (OUSE). This evaluation of TAMS by the National Center for Improving Science Education is primarily a qualitative study that summarizes the history and current status of the organization and its programs. Data was obtained through extensive interviews, observations, and document review, using a framework of templates to guide data collection and analyses. The findings are organized around a series of lessons learned from the first three years of TAMS and conclusions about its current status.

  11. Experiences of exclusion when living on a ventilator: reflections based on the application of Julia Kristeva's philosophy to caring science.

    Science.gov (United States)

    Lindahl, Berit

    2011-01-01

    The research presented in this work represents reflections in the light of Julia Kristeva's philosophy concerning empirical data drawn from research describing the everyday life of people dependent on ventilators. It also presents a qualitative and narrative methodological approach from a person-centred perspective. Most research on home ventilator treatment is biomedical. There are a few published studies describing the situation of people living at home on a ventilator but no previous publications have used the thoughts in Kristeva's philosophy applied to this topic from a caring science perspective. The paper also addresses what a life at home on a ventilator may be like and will hopefully add some new aspects to the discussion of philosophical issues in nursing and the very essence of care. Kristeva's philosophy embraces phenomena such as language, abjection, body, and love, allowing her writings to make a fruitful contribution to nursing philosophy in that they strengthen, expand, and deepen a caring perspective. Moreover, her writings about revolt having the power to create hope add an interesting aspect to the work of earlier philosophers and nursing theorists. © 2010 Blackwell Publishing Ltd.

  12. Internalization of Malaysian mathematical and computer science journals

    OpenAIRE

    Zainab, A. N.

    2008-01-01

    The internationalization characteristics of two Malaysian journals, Bulletin of the Malaysian Mathematical Sciences Society ( indexed by ISI) and the Malaysian Journal of Computer Science ( indexed by Inspec and Scopus) is observed. All issues for the years 2000 to 2007 were looked at to obtain the following information, (i) total articles published between 2000 and 2007; (ii) the distribution of foreign and Malaysian authors publishing in the journals; (iii) the distribution of articles by c...

  13. The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

    CERN Document Server

    Alladi, Krishnaswami; Rao, Calyampudi R

    2010-01-01

    In the spirit of Alladi Ramakrishnan's profound interest and contributions to three fields of science -- Mathematics, Statistics, and Physics -- this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan's illustrious career of special interest are included as well.

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ), Kalasalingam University, Anand Nagar, Krishnankoil 626126, India; School of Electrical Engineering and Computer Science, The University of Newcastle, Newcastle, NSW 2308, Australia; Department of Computer Science, Ball State ...

  15. Infinity and the mind the science and philosophy of the infinite

    CERN Document Server

    Rucker, Rudy

    2005-01-01

    In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Gödel's incompleteness theorems. His personal encounters with Gödel the mathematician and philosopher pr...

  16. 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.

  17. Utilizing a logic model to identify clinical research problems: a lesson from philosophy of science

    Directory of Open Access Journals (Sweden)

    Collins CR

    2016-10-01

    Full Text Available Cynthia R Collins School of Nursing, College of Social Sciences, Loyola University, New Orleans, LA, USA Abstract: Communication and decision making in the health care workplace often involve finding solutions to ill-structured problems in uncertain, dynamic environments influenced by the competing interests of multiple stakeholders. In this environment, doctoral-prepared nurses who practice as administrators, policy makers, or advanced practice practitioners are often compelled to make important decisions based upon evaluating the merit of colleagues’ proposals against some desired organizational or population outcome. Of equal importance is the nurse leader’s own capacity to construct a compelling argument or proposal that will drive the organization forward to meet the evolving needs for quality health care. Where do we learn the skills necessary to foster this kind of critical thinking in our professional communications? The author suggests that one teaching–learning approach can be found through the thoughtful application of the work of British philosopher Steven Toulmin. Toulmin defined a model for both the analysis and derivation of logical arguments or proposals that can be readily learned and applied for use in health care systems. This model posits that a substantive argument or claim can be evaluated based on the assumptions it presumes (warrants and the strength of the evidence base (backing. Several of the social science professions have adapted Toulmin’s model to generate analysis and creative solutions to complex or emergent problems. The author proposes that an application of this model be included in the pedagogy of doctoral level Philosophy of Science or Nursing Theory courses. The Toulmin process often provides the doctoral student or novice researcher with their first real learning experience in defining the scope and inherent challenges of framing a clinical issue to be the focus of their scholarly translational

  18. 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.

  19. 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.

  20. 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.

  1. Science and Mathematics Mentees and Mentors: Who Benefits the Most?

    Science.gov (United States)

    Taylor, Rosemarye T.; Karcinski, Lisa

    2016-01-01

    The purpose of our study was to determine the extent to which differences in a mentor model for science and mathematics teachers accounted for variances in mentoring effectiveness and persistence rates of teachers. School district designee, mentor, and teacher perceptions of mentoring support were collected through the use of interviews and…

  2. Pre-Service Science and Mathematics Teachers' Thoughts about Technology

    Science.gov (United States)

    Aran, Özge Can; Derman, Ipek; Yagci, Esed

    2016-01-01

    This study aims to investigate pre-service teachers' opinions about the technology. In this respect, the opinions of pre-service science and mathematics teachers were taken. The study was carried out at a university, located in the capital of Turkey. The data were collected from 20 pre-service teachers in the department of secondary school science…

  3. Global Journal of Mathematical Sciences - Vol 8, No 2 (2009)

    African Journals Online (AJOL)

    Global Journal of Mathematical Sciences. ... On the choice of schools located outside the walkable neighbourhood of the household · EMAIL FREE FULL TEXT EMAIL FREE FULL TEXT DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. A.A Osagiede, V.U Ekhosuehi. http://dx.doi.org/10.4314/gjmas.v8i2.53758 ...

  4. Introductory Life Science Mathematics and Quantitative Neuroscience Courses

    Science.gov (United States)

    Duffus, Dwight; Olifer, Andrei

    2010-01-01

    We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an…

  5. Computers in Science and Mathematics Education in the ASEAN Region.

    Science.gov (United States)

    Talisayon, Vivien M.

    1989-01-01

    Compares policies and programs on computers in science and mathematics education in the six ASEAN countries: Brunei, Indonesia; Malaysia, Philippines, Singapore, and Thailand. Limits discussion to the computer as a teaching aid and object of study, attendant problems, and regional cooperation. (MVL)

  6. ICT Integration in Science and Mathematics Lessons: Teachers ...

    African Journals Online (AJOL)

    The study reported in this paper used Guskey's model (Guskey, 2000) to systematically investigate teachers' experiences about the professional development programme on ICT integration in teaching and learning of Science and Mathematics in secondary schools. The study employed survey research design and an ...

  7. Restructuring STM (Science, Technology, and Mathematics) Education for Entrepreneurship

    Science.gov (United States)

    Ezeudu, F. O.; Ofoegbu, T. O.; Anyaegbunnam, N. J.

    2013-01-01

    This paper discussed the need to restructure STM (science, technology, and mathematics) education to reflect entrepreneurship. This is because the present STM education has not achieved its aim of making graduates self-reliant. Entrepreneurship education if introduced in the STM education will produce graduate who can effectively manage their…

  8. Mathematics and social science : a statistical mechanics approach to immigration

    NARCIS (Netherlands)

    Contucci, P.; Giardinà, C.

    2008-01-01

    Is modern science able to study social matters like those related to immigration phenomena on solid mathematical grounds? Can we for instance determine cultural robustness and the causes behind abrupt changes from cultural legacies? Can we predict, cause or avoid swings? A novel approach is under

  9. Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.

    Science.gov (United States)

    MacKenzie, Louise; Smith, Alice

    These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…

  10. Secondary School Science and Mathematics Teachers, Characteristics and Service Loads.

    Science.gov (United States)

    Mills, Thomas J.

    Determined were the educational and professional backgrounds, and some aspects of the operational environment of teachers of secondary school science and mathematics (Grades 7-12) in the public and private schools of the United States during the school year 1960-61. A stratified random sampling method was used to ensure proportional representation…

  11. Recent developments and applications in mathematics and computer science

    International Nuclear Information System (INIS)

    Churchhouse, R.F.; Tahir Shah, K.; Zanella, P.

    1991-01-01

    The book contains 8 invited lectures and 4 short seminars presented at the College on Recent Developments and Applications in Mathematics and Computer Science held in Trieste from 7 May to 1 June 1990. A separate abstract was prepared for each paper. Refs, figs and tabs

  12. An Alternative to Piagetian Psychology for Science and Mathematics Education

    Science.gov (United States)

    Novak, Joseph D.

    1978-01-01

    Reviews the basic precepts of the learning theories of Piaget and Ausubel. Although Piaget is credited for his contributions to educational psychology, the author supports Ausubel's theory of meaningful learning as more significant for future contributions in science and mathematics education. (CP)

  13. Just truth? Carefully applying history, philosophy and sociology of science to the forensic use of CCTV images.

    Science.gov (United States)

    Edmond, Gary

    2013-03-01

    Using as a case study the forensic comparison of images for purposes of identification, this essay considers how the history, philosophy and sociology of science might help courts to improve their responses to scientific and technical forms of expert opinion evidence in ways that are more consistent with legal system goals and values. It places an emphasis on the need for more sophisticated models of science and expertise that are capable of helping judges to identify sufficiently reliable types of expert evidence and to reflexively incorporate the weakness of trial safeguards and personnel into their admissibility decision making. Copyright © 2013. Published by Elsevier Ltd.

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Larisa Gromova1 Alexander Vasil'ev2. Department of Mathematics and Mechanics, Saratov State University, Saratov 410026, Russia; Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, the discreteness criteria of a -dimensional subgroup of S U ( n , 1 ) are investigated by using a test map which may not be in . Author Affiliations. Huani Qin1 2 Yueping Jiang1. College of Applied Mathematics, ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    For the structure of a sonic boom produced by a simple aerofoil at a large distance from its source we take a physical model which consists of a leading shock (LS), a trailing shock (TS) and a one-parameter family of nonlinear wavefronts in between the two shocks. Then we develop a mathematical model and show that ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    The aim here is to continue the investigation in [1] of Jacobians of a Klein surface and also to correct an error in [1]. Author Affiliations. Pablo Arés-Gastesi1 Indranil Biswas1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400 005, India. Dates. Manuscript received: 23 August 2005. Proceedings ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we study the null controllability of the viscous Camassa–Holm equation on the one-dimensional torus. By using a moving distributed control, we obtain that the system is null controllable for a given data with certain regularity. Author Affiliations. Peng Gao1. School of Mathematics and Statistics, and Center for ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Indranil Biswas1 N Raghavendra1 2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India; Advanced Technology Centre, Tata Consultancy Services, K.L.K. Estate, Fateh Maidan Road, Hyderabad 500 001, India ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    We give a criterion for filtered vector bundles over curves to admit a filtration preserving meromorphic connection that induces a given meromorphic connection on the corresponding graded bundle. Author Affiliations. Indranil Biswas1 Viktoria Heu2. School of Mathematics, Tata Institute of Fundamental Research, Homi ...