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(s) and affiliation(s)


Dinçer Çevik


Mugla Sitki Kocman University


Mugla Sitki Kocman University, Faculty of Letters, Department of Philosophy, Mugla, 48000, Turkey


About this article


1 January 2022


15 March 2024


9 April 2024


Institute of Philosophy of the Slovak Academy of Sciences

Institute of Philosophy of the Czech Academy of Sciences

Cite as


Çevik, D. (2024). Riemann’s Philosophy of Geometry and Kant’s Pure Intuition. Organon F31(2), 114–140.


Çevik, Dinçer. 2024. "Riemann’s Philosophy of Geometry and Kant’s Pure Intuition." Organon F 31 (2): 114–140.


Çevik, D. (2024). Riemann’s Philosophy of Geometry and Kant’s Pure Intuition. Organon F, 31(2), pp. 114–140.

Copyright information

© Dinçer Çevik

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