Global choice is not conservative over local choice for Zermelo set theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913188198481920 |
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| author | Glazer, Elliot |
| author_facet | Glazer, Elliot |
| contents | 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 $L.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11902 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global choice is not conservative over local choice for Zermelo set theory Glazer, Elliot Logic 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 $L.$ |
| title | Global choice is not conservative over local choice for Zermelo set theory |
| topic | Logic |
| url | https://arxiv.org/abs/2312.11902 |