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arXiv · 2308.03649

On Separating Wholeness Axioms

Hanul Jeon
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Abstract

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.

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BibTeXRIS

Hanul Jeon. 2023-08-07. On Separating Wholeness Axioms. https://doi.org/10.1017/jsl.2025.22

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