Abstract:
The present paper investigates the reasons of occurrence of known paradoxes in the intuitive set theory. We have proved that the process of formation of sets is non-finishing, and the reason of occurrence of paradoxes consists in representation of formation of sets as a finishing process (in other words, the reason of occurrence of paradoxes is the identification of concepts of a set and a class). The possibility of full formalization of the intuitive set theory is suspected.