On Separating Wholeness Axioms
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910880907657216 |
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| author | Jeon, Hanul |
| author_facet | Jeon, Hanul |
| contents | In this paper, we prove that $\mathsf{ZFC+WA}_{n+1}$ implies the consistency of $\mathsf{ZFC+WA}_n$ for $n\ge 0$. We also prove that $\mathsf{ZFC+WA}_n$ is finitely axiomatizable, and $\mathsf{ZFC+WA}$ is not finitely axiomatizable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03649 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Separating Wholeness Axioms Jeon, Hanul Logic Primary 03E55, Secondary 03F05 In this paper, we prove that $\mathsf{ZFC+WA}_{n+1}$ implies the consistency of $\mathsf{ZFC+WA}_n$ for $n\ge 0$. We also prove that $\mathsf{ZFC+WA}_n$ is finitely axiomatizable, and $\mathsf{ZFC+WA}$ is not finitely axiomatizable. |
| title | On Separating Wholeness Axioms |
| topic | Logic Primary 03E55, Secondary 03F05 |
| url | https://arxiv.org/abs/2308.03649 |