(March 20, 2018 at 9:20 pm)vulcanlogician Wrote:(March 20, 2018 at 11:21 am)polymath257 Wrote: For example, Kant considered Euclidean geometry to be a priori. We know that is nowhere close to being the case.
Isn't all math a priori though?
Sorry, I meant he claimed it to be *synthetic* a priori. It is, instead, analytic a priori. The 'truths' of Euclidean Geometry are derived from the definitions and axioms. They do not go 'beyond' such. And the axioms may well be false in the real world.