June 20, 2024Open Access

Models of Set Theory: Extensions and Dead-ends

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Abstract

This paper is a contribution to the study of extensions of arbitrary models of ZF (Zermelo-Fraenkel set theory), with no regard to countability or well-foundedness of the models involved. We present some new constructions of certain types of extensions, and also establish the existence of models of ZF that cannot be properly end extended.

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Ali Enayat (Thu,) studied this question.

synapsesocial.com/papers/68e64050b6db6435875d237c https://doi.org/https://doi.org/10.48550/arxiv.2406.14790

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