Hydras for $\omega_{1}$

Toshiyasu Arai

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arXiv · 1508.01548

Hydras for $\omega_{1}$

Toshiyasu Arai

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Abstract

In this paper we introduce a hydra battle. Each hydra will eventually die out, but the fact is not provable in a set theory with urelements of natural numbers and the assumption that `there exists an uncountable regular ordinal'.

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BibTeX RIS

Toshiyasu Arai. 2015-08-06. Hydras for $\omega_{1}$. https://arxiv.org/abs/1508.01548

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