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arXiv · 2107.13119

Reinhardt cardinals in inner models

Gabriel Goldberg
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Abstract

A cardinal is weakly Reinhardt if it is the critical point of an elementary embedding from the universe of sets into a model that contains the double powerset of every ordinal. This note establishes the equiconsistency of a proper class of weakly Reinhardt cardinals with a proper class of Reinhardt cardinals in the context of second-order set theory without the Axiom of Choice.

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Gabriel Goldberg. 2021-07-28. Reinhardt cardinals in inner models. https://arxiv.org/abs/2107.13119

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