Completion of the Proof of the Contradiction of Set Theory  

作　　者：Yury M. Volin Yury M. Volin(Mountain View, CA, USA)

机构地区：[1]Mountain View, CA, USA

出　　处：《Advances in Pure Mathematics》2024年第11期807-816,共10页理论数学进展（英文）

摘　　要：The article is devoted to completing the proof of the inconsistency of set theory. In this article and in the two preceding ones, all steps of the proof are based on generally accepted informal set-theoretic reasoning, but consider the prohibitions that were included in axiomatic set theories in order to overcome the difficulties encountered by the naive Cantor set theory. Therefore, in fact, the articles are about proving the inconsistency of existing axiomatic set theories, in particular, the ZFC theory.The article is devoted to completing the proof of the inconsistency of set theory. In this article and in the two preceding ones, all steps of the proof are based on generally accepted informal set-theoretic reasoning, but consider the prohibitions that were included in axiomatic set theories in order to overcome the difficulties encountered by the naive Cantor set theory. Therefore, in fact, the articles are about proving the inconsistency of existing axiomatic set theories, in particular, the ZFC theory.

关 键 词：Set Theory Inconsistency TREE Strange Tree Through Way Almost through Way ISOMORPHISM Almost Isomorphism Isomorphism Tree Place Plane Superposition (Imposition) of Trees on the Place Plane Disposition of Trees on the Place Plane 

分 类 号：O17[理学—数学]