Kant s Philosophy of Mathematics: Volume 1, the Critical Philosophy - and Its Root

List of contents

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.

Summary

Kant's views about mathematics are central to his philosophical thought. This book presents a comprehensive picture of current scholarship on the development of Kant's philosophy of mathematics, together with discussions of its place in his overall philosophy. It treats both broad historical issues and fine-grained questions of interpretation.

Product details

• Authors: Carl (Hebrew University of Jerusalem) Rechte Posy
• Assisted by: Carl Posy (Editor), Ofra Rechter (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2021
• EAN: 9781108717083
• ISBN: 978-1-108-71708-3
• No. of pages: 331
• Subjects: Humanities, art, music > Philosophy; Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; Non-fiction book > Philosophy, religion > Philosophy: antiquity to present day; PHILOSOPHY / History & Surveys / Modern, Philosophy of Mathematics, Western philosophy: c 1600 to c 1900, Philosophical traditions and schools of thought