title = {Vopěnkova alternatívna teória množín alebo ťažký údel génia mimo hlavného prúdu},
author = {Zlatoš, Pavol},
journal = {Obzory matematiky, fyziky a informatiky},
year = {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{`i}nka’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{`i}nka’s
phenomenological approach to mathematical infinity which may permanently
influence also some branches of mathematics, beyond the scope of its foundations.},