Organon F

Volume 31, May 2024, Issue 2, Pages 114–140

ISSN 2585-7150 (online) ISSN 1335-0668 (print)

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

E-mail

dincercevik@mu.edu.tr 

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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