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arxiv: 1508.01548 · v3 · pith:NSAEUTMInew · submitted 2015-08-06 · 🧮 math.LO

Hydras for ω₁

classification 🧮 math.LO
keywords hydraassumptionbattleeventuallyexistsfacthydrasintroduce
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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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