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Kant’s Philosophy of Mathematics

Modern Essays

  • Book
  • © 1992

Overview

Editors:
  1. Carl J. Posy

    1. Department of Philosophy, Duke University, Durham, USA

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Part of the book series: Synthese Library (SYLI, volume 219)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction: Mathematics in Kant’s Critique of Pure Reason

    1. Introduction: Mathematics in Kant’s Critique of Pure Reason

      • Carl J. Posy
      Pages 1-17

  3. Classic Papers of the 1960’s and 1970’s

    1. Front Matter

      Pages 19-19
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    2. Kant on the Mathematical Method

      • Jaakko Hintikka
      Pages 21-42

    3. Kant’s Philosophy of Arithmetic

      • Charles Parsons
      Pages 43-79

    4. Singular Terms and Intuitions in Kant’s Epistemology

      • Manley Thompson
      Pages 81-107

    5. Kant and the Foundations of Mathematics

      • Philip Kitcher
      Pages 109-131

  4. Recent Work

    1. Front Matter

      Pages 133-133
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    2. Arithmetic and the Categories

      • Charles Parsons
      Pages 135-158

    3. Construction, Schematism, and Imagination

      • J. Michael Young
      Pages 159-175

    4. Kant’s Theory of Geometry

      • Michael Friedman
      Pages 177-219

    5. Kant’s View of Geometry: A Partial Defense

      • Stephen Barker
      Pages 221-243

    6. The Geometry of a Form of Intuition

      • Arthur Melnick
      Pages 245-255

    7. Kant on Space, Empirical Realism and the Foundations of Geometry

      • William Harper
      Pages 257-291

    8. Kant’s Mathematical Realism

      • Carl J. Posy
      Pages 293-313

    9. Algebra and Intuition

      • Gordon G. Brittan
      Pages 315-339

    10. Kant’s Transcendental Method and His Theory of Mathematics

      • Jaakko Hintikka
      Pages 341-359

  5. Back Matter

    Pages 361-380
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Keywords

About this book

Kant's views about mathematics were controversial in his own time, and they have inspired or infuriated thinkers ever since. Though specific Kantian doctrines fell into disrepute earlier in this century, the past twenty-five years have seen a surge of interest in and respect for Kant's philosophy of mathematics among both Kant scholars and philosophers of mathematics.
The present volume includes the classic papers from the 1960s and 1970s which spared this renaissance of interest, together with updated postscripts by their authors. It also includes the most important recent work on Kant's philosophy of mathematics. The essays bring to bear a wealth of detailed Kantian scholarship, together with powerful new interpretative tools drawn from modern mathematics, logic and philosophy. The cumulative effect of this collection upon the reader will be a deeper understanding of the centrality of mathematics in all aspects of Kant's thought and a renewed respect for the power of Kant's thinking about mathematics. The essays contained in this volume will set the agenda for further work on Kant's philosophy of mathematics for some time to come.

Editors and Affiliations

  • Department of Philosophy, Duke University, Durham, USA

    Carl J. Posy

Bibliographic Information

  • Book Title: Kant’s Philosophy of Mathematics

  • Book Subtitle: Modern Essays

  • Editors: Carl J. Posy

  • Series Title: Synthese Library

  • DOI: https://doi.org/10.1007/978-94-015-8046-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1992

  • Hardcover ISBN: 978-0-7923-1495-0Published: 30 June 1992

  • Softcover ISBN: 978-90-481-4105-0Published: 04 December 2010

  • eBook ISBN: 978-94-015-8046-5Published: 09 March 2013

  • Series ISSN: 0166-6991

  • Series E-ISSN: 2542-8292

  • Edition Number: 1

  • Number of Pages: X, 380

  • Topics: Modern Philosophy, Philosophy of Science, History of Mathematical Sciences

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