In this paper, I argue that the key to Kant’s ability to justify synthetic a priori knowledge of mathematical composition hinges on his argument for the derivability of universality from a particular intuition.
I think it's pretty exciting. Kant's move from particular to universal in mathematical cognition seems flat out wrong, and it's particularly curious that he doesn't even acknowledge mathematical induction in his works, so trying to make sense of this move seems quite philosophically, as well as historically, interesting.
Boring. Academia.edu is more fun than this...
I think it's pretty exciting. Kant's move from particular to universal in mathematical cognition seems flat out wrong, and it's particularly curious that he doesn't even acknowledge mathematical induction in his works, so trying to make sense of this move seems quite philosophically, as well as historically, interesting.