Vopěnkova alternatívna teória množín alebo ťažký údel génia mimo hlavného prúdu

• Authors: Pavol Zlatoš

Title variants

EN

Vopěnka’s Alternative Set Theory or the Predicament of a Genius Outsider

• Languages of publication: SK

Abstracts

EN

In connection with Lem’s three degrees classification of genies, I will offer a personal view of Vopěnka’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 phenomenologically-founded mathematics in general. Finally, I will try to grasp the philosophical message of Vopěnka’s phenomenological exposition of mathematical infinity which may permanently influence some branches of mathematics, beyond the scope of its foundations

Keywords

EN

Petr Vopěnka; alternative set theory; horizon; infinity; phenomenological reduction; nonstandard analysis

Discipline

• PHILOSOPHY: PHILOSOPHY

• Publisher: Institute of Philosophy, Czech Academy of Sciences
• Journal: Filosofický časopis (Philosophical Journal)
• Year: 2016
• Volume: 64
• Issue: 4
• Pages: 513-537
• Document type: ARTICLE

Contributors

author

Pavol Zlatoš

• Filosofický časopis, redakce, Filosofický ústav AV ČR, v.v.i., Jilská 1, 110 00 Praha 1, Czech Republic