Organon F
Volume 31, May 2024, Issue 2, Pages 114–140
ISSN 2585-7150 (online) ISSN 1335-0668 (print)
Research Article
Riemann’s Philosophy of Geometry and Kant’s Pure Intuition
Dinçer Çevik
The aim of this paper is twofold: first to explicate how Riemann’s philosophy of geometry is organized around the concept of manifold. Second, to argue that Riemann’s philosophy of geometry does not dismiss Kant’s spatial intuition. To this end, first I analyse Riemann’s Habilitationsvortrag with respect to interaction between philosophical, mathematical and physical perspectives. Then I will argue that although Riemann had no particular commitment to the truth of Euclidean geometry his alternative geometry does not necessarily dismiss Kant’s spatial intuition.
G.F.B. Riemann; Kant; pure intuition; non-Euclidean geometries.
Author
Dinçer Çevik
Affiliation
Mugla Sitki Kocman University
Address
Mugla Sitki Kocman University, Faculty of Letters, Department of Philosophy, Mugla, 48000, Turkey
Received
1 January 2022
Revised
15 March 2024
Accepted
9 April 2024
Publishers
Institute of Philosophy of the Slovak Academy of Sciences
Institute of Philosophy of the Czech Academy of Sciences
APA
Çevik, D. (2024). Riemann’s Philosophy of Geometry and Kant’s Pure Intuition. Organon F, 31(2), 114–140. https://doi.org/10.31577/orgf.2024.31202
Chicago
Çevik, Dinçer. 2024. "Riemann’s Philosophy of Geometry and Kant’s Pure Intuition." Organon F 31 (2): 114–140. https://doi.org/10.31577/orgf.2024.31202
Harvard
Çevik, D. (2024). Riemann’s Philosophy of Geometry and Kant’s Pure Intuition. Organon F, 31(2), pp. 114–140. https://doi.org/10.31577/orgf.2024.31202
© Dinçer Çevik
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