论文标题
Vopěnka在20世纪数学典范中的替代套装理论：捷克的作者翻译
Vopěnka's Alternative Set Theory in the Mathematical Canon of the 20th Century: Author's Translation from Czech
论文作者
论文摘要
Vopěnka的替代集理论既可以被视为一种进化，又可以视为一场革命：它是基于他以前在非标准宇宙的经验，灵感来自Skolem的构建非标准的算术模型，其INCEPTION已被明确提及，试图尝试将Robinson的非标准分析进行AXIOMATIZEMATTIAMET。 Vopěnka更喜欢在公理理论中工作，以研究其单个模型。他还通过这种棱镜观看了非古典数学领域。本文是对替代集理论的数学邻域映射的贡献，与此同时，它提出了一个挑战，以更详细地分析哲学联系的起源和结构，最终影响了替代集理论。
Vopěnka'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. Vopěnka 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.
