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. The contributions to this book explore this idea that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. This book was originally published as a special issue of the Canadian Journal of Philosophy.
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. The contributions to this book explore this idea that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. 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.
Inhaltsangabe
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
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
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