TY - JOUR 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 - |