Philosophy of Mathematics Quotes

“The classification of some piece of knowledge as analytic or synthetic, a priori or a posteriori, concerns not “the psychological, physiological and physical conditions” that made it possible for us to grasp the relevant proposition but rather “the ultimate ground on which the justification for holding it to be true rests” (Frege, 1953, §3).”
― Øystein Linnebo, Philosophy of Mathematics

“Just as the geographer does not create a sea when he draws borderlines and says: the part of the water surface bordered by these lines I will call Yellow Sea, so too the mathematician cannot properly create anything by his definitions. (2013, I, xiii)”
― Øystein Linnebo, Philosophy of Mathematics