Appendix to "Inconsistency of Inaccessibility"

TL;DR

This paper provides a detailed proof of the main theorem regarding the nonexistence of inaccessible cardinals within ZF set theory, refining previous work and emphasizing foundational ideas.

Contribution

It offers a refined, explicit proof of the nonexistence of inaccessible cardinals in ZF, enhancing the original work with clearer development of core concepts.

Findings

Proof of nonexistence of inaccessible cardinals in ZF

Refined presentation with detailed foundational development

Enhanced clarity in main theorem construction

Abstract

This paper is the concise addition to the foregoing work "Inconsistency of Inaccessibility", containing the presentation of main theorem proof (in ZF) about inaccessible cardinals nonexistence. Here some refinement of this presentation is set forth. Much attention is devoted to the explicit and substantial development and cultivation of basic ideas, serving as grounds for all main constructions and reasonings.