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

• Authors: Çevik Dinçer
• Languages of publication: EN

Abstracts

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.

Keywords

EN

G.F.B. RIEMANN; KANT; PURE INTUITION; EUCLIDEAN GEOMETRY

• Publisher: Institute of Philosophy of the Slovak Academy of Sciences and Institute of Philosophy of Academy of Sciences of Czech Republic
• Journal: Organon F. medzinárodný časopis pre analytickú filozofiu
• Year: 2024
• Volume: 31
• Issue: 2
• Pages: 114 – 140

Contributors

author

Çevik Dinçer

• Mugla Sitki Kocman University, Faculty of Letters, Mugla, 48000, Turkey

• https://orcid.org/0000-0001-5897-7381

Identifiers

DOI

https://doi.org/10.31577/orgf.2024.31202