Kant: Studies on Mathematics in the Critical Philosophy

Buch | Hardcover

282 Seiten

2015
Routledge (Verlag)
978-1-138-92502-1 (ISBN)

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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.

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.

Introduction 1. Spatial representation, magnitude and the two stems of cognition 2. Infinity and givenness: Kant on the intuitive origin of spatial representation 3. Kant on the Acquisition of Geometrical Concepts 4. Kant (vs. Leibniz, Wolff and Lambert) on real definitions in geometry 5. Definitions of Kant’s categories 6. Arbitrary combination and the use of signs in mathematics: Kant’s 1763 Prize Essay and its Wolffian background 7. Kant on the construction and composition of motion in the Phoronomy 8. Kant on conic sections 9. ‘With a Philosophical Eye’: the role of mathematical beauty in Kant’s intellectual development

Erscheint lt. Verlag	4.8.2015
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	544 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
	Geisteswissenschaften ► Philosophie ► Philosophie der Neuzeit
	Mathematik / Informatik ► Mathematik
ISBN-10	1-138-92502-0 / 1138925020
ISBN-13	978-1-138-92502-1 / 9781138925021
Zustand	Neuware