TITLE:
Completion of the Proof of the Contradiction of Set Theory
AUTHORS:
Yury M. Volin
KEYWORDS:
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
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.14 No.11,
November
5,
2024
ABSTRACT: 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.