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Kant's Philosophy of Mathematics

Kant's Philosophy of Mathematics

Volume 1. The Critical Philosophy and Its Roots


Katherine Dunlop, Carl Posy, Daniel Warren, Jaakko Hintikka, Mirella Capozzi, Desmond Hogan, Jeremy Heis, Gordon Brittan, Michael Friedman, Emily Carson, Daniel Sutherland, W. W. Tait
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  • Publication planned for: November 2019
  • availability: Not yet published - available from November 2019
  • format: Hardback
  • isbn: 9781107042902

£ 75.00

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About the Authors
  • The late 1960s saw the emergence of new philosophical interest in Kant's philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-of-the-art survey of contemporary scholarship on Kant's mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics including geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant's philosophy of mathematics in the context of his Critical philosophy, and also show sensitivity to its historical background. The volume will be important for readers seeking a comprehensive picture of the current scholarship about the development of Kant's philosophy of mathematics, its place in his overall philosophy, and the Kantian themes that influenced mathematics and its philosophy after Kant.

    • Engages with a lively and emerging field which will connect Kantian studies with mathematical philosophy in innovative ways
    • Brings together authors from different schools of thought to provide readers with a full spectrum of contemporary approaches to Kant's philosophy of mathematics
    • Explores how Kant's mathematical thought developed over time, with chapters organised thematically to aid readers' navigation of the issues
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    Product details

    • Publication planned for: November 2019
    • format: Hardback
    • isbn: 9781107042902
    • dimensions: 228 x 152 mm
    • contains: 5 b/w illus.
    • availability: Not yet published - available from November 2019
  • Table of Contents

    Part I. Roots:
    1. Kant and Mendelssohn on the use of signs in mathematics Katherine Dunlop
    2. Of griffins and horses: mathematics, metaphysics and Kant's critical turn Carl Posy
    3. Kant on mathematics and the metaphysics of corporeal nature: the role of the infinitesimal Daniel Warren
    Part II. Method and Logic:
    4. Kant's theory of mathematics: what theory of what mathematics? Jaakko Hintikka
    5. Singular terms and intuitions in Kant: a reappraisal Mirella Capozzi
    6. Kant and the character of mathematical inference Desmond Hogan
    Part III. Space and Geometry:
    7. Kant on parallel lines: definitions, postulates, and axioms Jeremy Heis
    8. Continuity, constructibility, and intuitivity Gordon Brittan
    9. Space and geometry in the B deduction Michael Friedman
    Part IV. Arithmetic and Number:
    10. Arithmetic and the conditions of possible experience Emily Carson
    11. Kant's philosophy of arithmetic: an outline of a new approach Daniel Sutherland
    12. The critique of pure reason on arithmetic W. W. Tait.

  • Editors

    Carl Posy, Hebrew University of Jerusalem
    Carl Posy is Professor Emeritus of Philosophy at the Hebrew University of Jerusalem. He is editor of Kant's Philosophy of Mathematics: Modern Essays (1992) and has written extensively on the philosophy of mathematics as well as on Kant.

    Ofra Rechter, Tel-Aviv University
    Ofra Rechter is a member of the philosophy department at Tel-Aviv University. Her work focuses on Kant within the philosophy of mathematics and its history, and she has published a number of papers on Kant's philosophy of arithmetic.


    Katherine Dunlop, Carl Posy, Daniel Warren, Jaakko Hintikka, Mirella Capozzi, Desmond Hogan, Jeremy Heis, Gordon Brittan, Michael Friedman, Emily Carson, Daniel Sutherland, W. W. Tait

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