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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2006, Issue 3, Pages 139–141
(Mi uzeru410)
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Communications
Mathematics
On paradoxes of intuitive theory of sets
I. G. Khachatryan Chair of Differential Equations, YSU, Armenia
Abstract:
The message investigates the reasons of occurrence of known paradoxes in the intuitive set theory. We prove, that the process of formation of sets is nonfinishing, i.e. after formation of arbitrary set of sets it is possible to form a new set, and the reason of occurrence of paradoxes is connected with representation of process of formation of sets as a finishing process, i.e. all sets can be formed.
Received: 11.10.2006
Citation:
I. G. Khachatryan, “On paradoxes of intuitive theory of sets”, Proceedings of the YSU, Physical and Mathematical Sciences, 2006, no. 3, 139–141
Linking options:
https://www.mathnet.ru/eng/uzeru410 https://www.mathnet.ru/eng/uzeru/y2006/i3/p139
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