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arXiv · 2312.11902

Global choice is not conservative over local choice for Zermelo set theory

Elliot Glazer
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Abstract

We prove that Global Choice is not conservative over ZC and that ZF $-$ Union does not prove existence of $x \cup y$ for all $x$ and $y$. Each proof is by constructing a pathological model inside a symmetric extension of $L.$

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Elliot Glazer. 2023-12-19. Global choice is not conservative over local choice for Zermelo set theory. https://arxiv.org/abs/2312.11902

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