Mathematics in Kant's Critical Philosophy

Routledge (2015)

Authors
Emily Carson
McGill University
Lisa Shabel
Ohio State University
Abstract
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 with the method of mathematics; in the Critique of Practical Reason , Kant compares the Formula of Universal Law, central to his theory of moral judgement, to a mathematical postulate; in the Critique of Judgement , where he considers aesthetic judgment, Kant distinguishes the mathematical sublime from the dynamical sublime. This last point rests on the distinction that shapes the Transcendental Analytic of Concepts at the heart of Kant’s Critical philosophy, that between the mathematical and the dynamical categories. These examples make it clear that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. The contributions to this book explore this theme of the centrality of mathematics to Kant’s philosophy as a whole. This book was originally published as a special issue of the Canadian Journal of Philosophy
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Kant on the Acquisition of Geometrical Concepts.John J. Callanan - 2014 - Canadian Journal of Philosophy 44 (5-6):580-604.
Kant on Construction, Apriority, and the Moral Relevance of Universalization.Timothy Rosenkoetter - 2011 - British Journal for the History of Philosophy 19 (6):1143 - 1174.
Kant on Real Definitions in Geometry.Jeremy Heis - 2014 - Canadian Journal of Philosophy 44 (5-6):605-630.

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