Author(s)

Yury M. Volin

Mountain View, USA.

The article is devoted to proving the inconsistency of set theory arising from the existence of strange trees. All steps of the proof rely on common informal set-theoretic reasoning, but they take into account the prohibitions that were introduced into axiomatic set theories in order to overcome the difficulties encountered by the naive Cantor set theory. Therefore, in fact, the article is about proving the inconsistency of existing axiomatic set theories, in particular, the ZFC theory.

Set Theory, Inconsistency, Tree, Strange Tree, Through Way, Almost through Way, Isomorphism, Almost Isomorphism, Isomorphism Tree, Place Plane, Superposition of Trees on the Place Plane, Disposition of Trees on the Place Plane

Volin, Y. (2024) On the Proof of the Contradiction of Set Theory. Advances in Pure Mathematics, 14, 139-159. doi: 10.4236/apm.2024.143007.