Kant's Philosophy of Mathematics: Volume 1, The Critical Philosophy and its Roots (eBook, ePUB)

Redaktion: Posy, Carl

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 21. Mai 2020
• Englisch
• ISBN-13: 9781108669535
• Artikelnr.: 60861781

Inhaltsangabe

Introduction; 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.