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RIEMANN’S PHILOSOPHY OF GEOMETRY AND KANT’S PURE INTUITION

100%
Çevik D.
Organon F. medzinárodný časopis pre analytickú filozofiu
|
2024
|
vol. 31
|
issue 2
114 – 140
EN
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.
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