Krytyka Platona przyjmowania uczestniczenia (ei;dh) rzeczy w postaciach () jako przyczynek do dyskusji na temat źródeł antynomii w podstawach matematyki

Abstract

This article is an attempt to answer the question about possible philosophical (non-mathematical) sources of antinomies revealed in mathematics at the turn of the 19th and 20th centuries. Mathematical Platonism seems to be one of such sources. Is it possible, in Plato’s way of thinking, to really find the problem of the existence of objects, which in the context of the infinite set theory was mentioned by Georg Cantor? And if so, how does this problem solve Plato himself?