Philosophy of Geometry–On the Road to a Final Assessment

0369528 - FLÚ 2012 RIV GB eng J - Článek v odborném periodiku
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
Výzkumný záměr: CEZ:AV0Z90090514
Klíčová slova: Kant's philosophy of geometry * projective geometry
Kód oboru RIV: AA - Filosofie a náboženství

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.
Trvalý link: http://hdl.handle.net/11104/0203571