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TitleVopěnkova alternatívna teória množín alebo ťažký údel génia mimo hlavného prúdu
MESC
Bibtex cite ID
Journal Obzory matematiky, fyziky a informatiky
Year published 2017
Volume 46
Number 4
Pages 13-37
ISSN 1335-4981
Abstract
In connection with Lem’s three degree classification of genies I will offer a personal view of Vop`inka’s alternative set theory and of its relation to Cantor’s set theory and Robinson’s nonstandard analysis. I will sketch some reasons which, in my opinion, restrict the potential of the Alternative Set Theory in particular, as well as of the phenomenologically founded mathematics in general. Finally, I will try to grasp the philosophical message of Vop`inka’s phenomenological approach to mathematical infinity which may permanently influence also some branches of mathematics, beyond the scope of its foundations.
Authors
Zlatoš, Pavol
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  Based on Aigaion, modifications MD© 2007