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Philosophy of Geometry–On the Road to a Final Assessment
- 1.0369528 - FLÚ 2012 RIV GB eng J - Journal Article
Kvasz, Ladislav
Philosophy of Geometry–On the Road to a Final Assessment.
Philosophia Mathematica. Roč. 19, č. 2 (2011), s. 139-166. ISSN 0031-8019. E-ISSN 1744-6406
Institutional research plan: CEZ:AV0Z90090514
Keywords : Kant's philosophy of geometry * projective geometry
Subject RIV: AA - Philosophy ; Religion
The paper attempts to summarize the debate on Kant's philosophy of geometry and to offer a restricted area to which Kant's philosophy would apply. Geometrical theories can be characterized using Wittgenstein’s notion of pictorial form. The birth of non-Euclidean geometry is tied to the introduction of a new pictorial form—the interpretative form. Kant's philosophy of geometry can be interpreted as a reconstruction of geometry based on another of these forms—the projective form. Kant's philosophy is thus a correct reconstruction of such theories as projective geometry; and not only as they were practiced in Kant's times, but also as architects use them today.
Permanent Link: http://hdl.handle.net/11104/0203571
Number of the records: 1