Kant's Mathematical World

ISBN-13: 9781108455107 / Miękka / 2023 / 315 str.

Chicago) Sutherland Daniel (University of Illinois

Opis

An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.

Recenzje

'simply outstanding … Highly recommended.' D. C. Kolb, Choice Connect

Spis treści

Preface and acknowledgements; 1. Introduction: mathematics and the world of experience; Part I. Mathematics, Magnitudes and the Conditions of Experience: 2. Space, time and mathematics in the Critique of Pure Reason; 3. Magnitudes, mathematics, and experience in the Axioms of Intuition; 4. Extensive and intensive magnitudes and continuity; 5. Conceptual and intuitive representation: singularity, continuity, and concreteness; Interlude: the Greek mathematical tradition as background to Kant: 6. Euclid, the Euclidean mathematical tradition, and the theory of magnitudes; Part II. Kant's Theory of Magnitudes and the Role of Intuition: 7. Kant's reworking of the theory of magnitudes; 8. Kant's reformation of the metaphysics of quantity; 9. From mereology to mathematics; 10. Concluding remarks; Bibliography; Index.