Between Philosophy and Mathematics: Their Parallel on a “Parallax”

Abstract

An exemplification, in terms of mathematics today (as understood by mathematicians at their research front today), of some philosophical problems, such as epistemological 'parallaxes' (not 'paradoxes'!) between the geometric 'drawing' and the arithmetic-algebraic 'counting', between the perceptual and the conceptual, between algebraic topology and topological algebra, etc.--if only to prove the philosophy of 'mathematics proper' far beyond the 'logical' studies (almost always irrelevant to the m.o. of 'working mathematicians').