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