Title variants
Vopěnka’s Alternative Set Theory or the Predicament of a Genius Outsider
Languages of publication
Abstracts
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
Discipline
Year
Volume
Issue
Pages
513-537
Physical description
Document type
ARTICLE
Contributors
author
- Filosofický časopis, redakce, Filosofický ústav AV ČR, v.v.i., Jilská 1, 110 00 Praha 1, Czech Republic
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.3d292c3d-84eb-4441-ae03-4154d8d6b68a