T1 - Vopěnkova alternatívna teória množín alebo ťažký údel génia mimo hlavného prúdu
A1 - Zlatoš, Pavol
JA - Obzory matematiky, fyziky a informatiky
Y1 - 2017
VL - 46
IS - 4
SP - 13
EP - 37
SN - 1335-4981
N2 - 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.
ER -