Katherine Dunlop

Affiliation: 

UT Austin

Is Euclidean Geometry the ‘Form of Outer Sense’ for Kant?

Kant is often thought to identify the necessary conditions on our “outer in- tuition” with the principles of Euclidean geometry. On this interpretation of his view, it is refuted by 19th and 20th century developments in mathematics and physics. But some commentators observe that the necessary conditions Kant articulates (in the “Metaphysical Exposition” of space), to which he refers as “singularity” and “infinity”, correspond to a broader class of geometries.