Vop\v{e}nka's Alternative Set Theory in the Mathematical Canon of the 20th Century: Author's Translation from Czech
| Autor: | Haniková, Zuzana |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Zuzana Hanikov\'a: Vop\v{e}nkova Alternativn\'i teorie mno\v{z}in v matematick\'em k\'anonu 20. stolet\'i. Filosofick\'y \v{c}asopis 70(3), 485--504, 2022 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.46854/fc.2022.3r.485 |
| Popis: | Vop\v{e}nka's Alternative Set Theory can be viewed both as an evolution and as a revolution: it is based on his previous experience with nonstandard universes, inspired by Skolem's construction of a nonstandard model of arithmetic, and its inception has been explicitly mentioned as an attempt to axiomatize Robinson's Nonstandard Analysis. Vop\v{e}nka preferred working in an axiomatic theory to investigating its individual models; he also viewed other areas of nonclassical mathematics through this prism. This article is a contribution to the mapping of the mathematical neighbourhood of the Alternative Set Theory, and at the same time, it submits a challenge to analyze in more detail the genesis and structure of the philosophical links that eventually influenced the Alternative Set Theory. Comment: This is the author's translation into English of her paper published originally in Czech. 14 pages |
| Databáze: | arXiv |
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