Poincaré believed that arithmetic is a synthetic science. He argued that Peano's axioms cannot be proven non-circularly with the principle of induction (Murzi, 1998), therefore concluding that arithmetic is a priori synthetic and not analytic.展开全文 原微博
Kant's complaint against the empiricist analysis is that it fails to account for the fact that judgments of taste demand everyone's assent..hence claim a universality and necessity, which presupposes some necessary and hence a priori principle. -- W.S. Pluhar, Trans. Intro. liii展开全文 原微博
