Search Results for "new-directions-in-the-philosophy-of-mathematics"

New Directions in the Philosophy of Mathematics

New Directions in the Philosophy of Mathematics

An Anthology

  • Author: Thomas Tymoczko
  • Publisher: Princeton University Press
  • ISBN: 9780691034980
  • Category: Mathematics
  • Page: 436
  • View: 1005
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The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.

New Directions in the Philosophy of Technology

New Directions in the Philosophy of Technology

  • Author: Joseph C. Pitt
  • Publisher: Springer Science & Business Media
  • ISBN: 9401584184
  • Category: Philosophy
  • Page: 225
  • View: 3802
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In this collection we finally find the philosophy of technology, a young and rapidly developing area of scholarly interest, making contact with history of science and technology, and mainstream epistemological and metaphysical issues. The sophistication of these papers indicates the maturity of the field as it moves away from the advocacy of anti-technology ideological posturing toward a deeper understanding of the options and restraints technological developments provide. The papers presented here take us over a threshold into the real world of complicated social and technological interactions where science and art are shown to be integral to our understanding of technological change, and technological innovations are seen as configuring our knowledge of the world and opening up new possibilities for human development. With its rich historical base, this volume will be of interest to all students concerned about the interactions among technology, society, and philosophy.

New Directions in the Philosophy of Science

New Directions in the Philosophy of Science

  • Author: Maria Carla Galavotti,Dennis Dieks,Wenceslao J. Gonzalez,Stephan Hartmann,Thomas Uebel,Marcel Weber
  • Publisher: Springer
  • ISBN: 331904382X
  • Category: Science
  • Page: 773
  • View: 2640
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This volume sheds light on still unexplored issues and raises new questions in the main areas addressed by the philosophy of science. Bringing together selected papers from three main events, the book presents the most advanced scientific results in the field and suggests innovative lines for further investigation. It explores how discussions on several notions of the philosophy of science can help different scientific disciplines in learning from each other. Finally, it focuses on the relationship between Cambridge and Vienna in twentieth century philosophy of science. The areas examined in the book are: formal methods, the philosophy of the natural and life sciences, the cultural and social sciences, the physical sciences and the history of the philosophy of science.

The Space of Mathematics

The Space of Mathematics

Philosophical, Epistemological, and Historical Explorations

  • Author: Javier Echeverria,Andoni Ibarra,Thomas Mormann
  • Publisher: Walter de Gruyter
  • ISBN: 3110870290
  • Category: Mathematics
  • Page: 438
  • View: 501
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Cultural Perspectives on the Mathematics Classroom

Cultural Perspectives on the Mathematics Classroom

  • Author: Steve Lerman
  • Publisher: Springer Science & Business Media
  • ISBN: 9401711992
  • Category: Education
  • Page: 215
  • View: 2571
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Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking. The gaze into today's mathematics classroom is firmly focused on the individual learner. Recently, however, studies of mathematics in social practices, including the market place and the home, have initiated a shift of focus. Culture has become identified as a key to understanding the basis on which the learner appropriates meaning. The chapters in this timely book attempt to engage with this shift of focus and offer original contributions to the debate about mathematics teaching and learning. They adopt theoretical perspectives while drawing on the classroom as both the source of investigation and the site of potential change and development. The book will be of fundamental interest to lecturers and researchers and to teachers concerned with the classroom as a cultural phenomenon.

New Directions in Economic Methodology

New Directions in Economic Methodology

  • Author: Roger E. Backhouse
  • Publisher: Routledge
  • ISBN: 1134864396
  • Category: Business & Economics
  • Page: 416
  • View: 2941
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In recent years there has been a flowering of work on economic methodology. However there is no longer any consensus about which direction this should take or, indeed, even what the role and content of economic methodology should be. This book reflects this diversity. Its contributors are responsible for the major developments in this field and together they give an account of all the major positions which currently prevail in economic methodology. These include attempts to rehabilitate the 'falsification' of Kuhn, Lakatos and Popper, sociology of knowledge approaches, different forms of realism, contributions from the 'rhetoric' project and other perspectives which view the economy as a text.

Metaphor and Analogy in the Sciences

Metaphor and Analogy in the Sciences

  • Author: F. Hallyn
  • Publisher: Springer Science & Business Media
  • ISBN: 9401594422
  • Category: Philosophy
  • Page: 244
  • View: 1210
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This collection of papers contains historical case studies, systematic contributions of a general nature, and applications to specific sciences. The bibliographies of the contributions contain references to all central items from the traditions that are relevant today. While providing access to contemporary views on the issue, the papers illustrate the wide variety of functions of metaphors and analogies, as well as the many connections between the study of some of these functions and other subjects and disciplines.

Essays in Logic and Ontology

Essays in Logic and Ontology

  • Author: Jacek Malinowski,Andrzej Pietruszczak
  • Publisher: Rodopi
  • ISBN: 9042021306
  • Category: Philosophy
  • Page: 400
  • View: 8585
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The aim of this book is to present essays centered upon the subjects of Formal Ontology and Logical Philosophy. The idea of investigating philosophical problems by means of logical methods was intensively promoted in Torun by the Department of Logic of Nicolaus Copernicus University during last decade. Another aim of this book is to present to the philosophical and logical audience the activities of the Torunian Department of Logic during this decade. The papers in this volume contain the results concerning Logic and Logical Philosophy, obtained within the confines of the projects initiated by the Department of Logic and other research projects in which the Torunian Department of Logic took part.

Mathematics and the Roots of Postmodern Thought

Mathematics and the Roots of Postmodern Thought

  • Author: Vladimir Tasic
  • Publisher: Oxford University Press
  • ISBN: 9780195349955
  • Category: Mathematics
  • Page: 200
  • View: 9300
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This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.

Symbolizing and Communicating in Mathematics Classrooms

Symbolizing and Communicating in Mathematics Classrooms

Perspectives on Discourse, Tools, and Instructional Design

  • Author: Paul Cobb,Erna Yackel,Kay McClain
  • Publisher: Routledge
  • ISBN: 1135677824
  • Category: Education
  • Page: 412
  • View: 7661
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This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.