Reinhardt cardinals in inner models
Logic
2021-07-29 v1
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.
Keywords
Cite
@article{arxiv.2107.13119,
title = {Reinhardt cardinals in inner models},
author = {Gabriel Goldberg},
journal= {arXiv preprint arXiv:2107.13119},
year = {2021}
}
Comments
4 pages