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Kant and Non-Euclidean Geometry.
Kant-Studien: Philosophische Zeitschrift der Kant-Gesellschaft, 99 (1): 80--98 (2008)
Аннотация
The idea that non-Euclidean geometries serve to vindicate the Kantian project when they are regarded as detached from it (that is, when they are regarded possible notwithstanding Kant's ideas on space and geometry) is the legacy of Kantian commentators in the sixties and seventies. Michael Friedman claims that this idea relies on anachronistic concepts and maintains that non-Euclidean geometries are logically impossible for Kant. Here I argue that if one follows Friedman's line of defence one ends in collapsing the Kantian project. The case of non-Euclidean geometries and its impact on Kantian philosophy is an example of the unbridgeable gap between realism and idealism -- a gap that Kant himself unsuccessfully struggled to bridge.
