Non‐circular, non‐well‐founded set universes

Mathematical Logic Quarterly 39 (1):454-460 (1993)
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Abstract

We show that there are universes of sets which contain descending ϵ-sequences of length α for every ordinal α, though they do not contain any ϵ-cycle. It is also shown that there is no set universe containing a descending ϵ-sequence of length On. MSC: 03E30; 03E65

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10.1002/malq.19930390149

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Athanassios Tzouvaras
Aristotle University of Thessaloniki (PhD)

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