Daniel Sutherland (Chicago University of Illinois)

Kant's Mathematical World

Mathematics, Cognition, and Experience

• Broschiertes Buch

Produktbeschreibung

Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 315
• Erscheinungstermin: 19. Oktober 2023
• Englisch
• Abmessung: 229mm x 152mm x 17mm
• Gewicht: 470g
• ISBN-13: 9781108455107
• ISBN-10: 1108455107
• Artikelnr.: 68802056

Autorenporträt

Daniel Sutherland is Associate Professor of Philosophy at the University of Illinois at Chicago. He has published numerous articles on Kant's philosophy of mathematics and science, including their relation to Euclid, Newton, Leibniz, Frege, and others.

Inhaltsangabe

Preface and acknowledgements
1. Introduction: mathematics and the world of experience
Part I. Mathematics, Magnitudes and the Conditions of Experience: 2. Space, time and mathematics in the Critique of Pure Reason
3. Magnitudes, mathematics, and experience in the Axioms of Intuition
4. Extensive and intensive magnitudes and continuity
5. Conceptual and intuitive representation: singularity, continuity, and concreteness
Interlude: the Greek mathematical tradition as background to Kant: 6. Euclid, the Euclidean mathematical tradition, and the theory of magnitudes
Part II. Kant's Theory of Magnitudes and the Role of Intuition: 7. Kant's reworking of the theory of magnitudes
8. Kant's reformation of the metaphysics of quantity
9. From mereology to mathematics
10. Concluding remarks
Bibliography
Index.