Kant's Philosophy of Mathematics: Volume 1, the Critical Philosophy and Its Roots

ISBN-13: 9781108717083 / Angielski / Miękka / 2021 / 331 str.

Carl Posy; Ofra Rechter

Opis

Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.

Recenzje

'… this volume of works will prove important for scholars working in the field of general Kant studies.' L. C. Archie, Choice

Spis treści

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.