1st Edition

Kant: Studies on Mathematics in the Critical Philosophy

Edited By Emily Carson, Lisa Shabel Copyright 2016
292 Pages
by Routledge

292 Pages
by Routledge

280 Pages
by Routledge

There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason , Kant outlines the method of philosophy in general by contrasting it... Read more

Introduction Emily Carson and Lisa Shabel

1. Spatial representation, magnitude and the two stems of cognition Thomas Land

2. Infinity and givenness: Kant on the intuitive origin of spatial representation Daniel Smyth

3. Kant on the Acquisition of Geometrical Concepts John J. Callanan

4. Kant (vs. Leibniz, Wolff and Lambert) on real definitions in geometry Jeremy Heis

5. Definitions of Kant’s categories Tyke Nunez

6. Arbitrary combination and the use of signs in mathematics: Kant’s 1763 Prize Essay and its Wolffian background Katherine Dunlop

7. Kant on the construction and composition of motion in the Phoronomy Daniel Sutherland

8. Kant on conic sections Alison Laywine

9. ‘With a Philosophical Eye’: the role of mathematical beauty in Kant’s intellectual development Courtney David Fugate

Biography

Emily Carson is Associate Professor of Philosophy at McGill University, Montreal, Canada. She works in early modern philosophy, with a focus on Kant and the philosophy of mathematics, and is a member of the Editorial Board of the Canadian Journal of Philosophy.

Lisa Shabel is Associate Professor in the Department of Philosophy at Ohio State University, Columbus, USA. Her primary interests are in the history and philosophy of mathematics and Kant’s Critical philosophy.