ABSTRACT

In order to find how metaphysical judgments can be verified, Kant considers how geometrical knowledge is obtained. Kant's account of how geometrical judgments are directly verified is analogous to his account of the direct verification of an empirical judgment. Today most people believe that Kant's account of geometry has been completely disproven by modern developments in geometry and by uses to which they have been put by modern physics. Kant is criticized for assuming that there is only one geometry, Euclidean geometry. There is a striking difference between empirical images and the pure imaginative representations which Kant holds are to be had of spatial configurations. Kant urges that there is a fatal objection against regarding space as a thing. Kant argues that concepts of spatial configurations and of relations among configurations are non-empirical concepts. Kant does not deny that the possibility of pure intuition raises a grave problem.