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arXiv · 1910.06520

Mahlo classes for first-order reflections

Toshiyasu Arai
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Abstract

In this note we axiomatize the $\Pi_{k+1}$-consequences in the set theory ${\sf KP}\Pi_{N}$ for $\Pi_{N}$-reflecting universes in terms of iterations of $\Pi_{i}$-recursively Mahlo operations for $1\leq k\leq i<N$.

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BibTeXRIS

Toshiyasu Arai. 2019-10-15. Mahlo classes for first-order reflections. https://arxiv.org/abs/1910.06520

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