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arXiv · 2106.14129

The first-order definability of generic large cardinals

Sakaé Fuchino·Hiroshi Sakai
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Abstract

We show that the notions of generic and Laver-generic supercompactness are first-order definable in the language of ZFC. This also holds for generic and Laver-generic (almost) hugeness as well as for generic versions of other large cardinals.

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Sakaé Fuchino, Hiroshi Sakai. 2021-06-27. The first-order definability of generic large cardinals. https://arxiv.org/abs/2106.14129

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