@ARTICLE {, 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.}, }