Superstrong cardinal

id: superstrong-cardinal-202-17315045
title: Superstrong cardinal
text: In mathematics, a cardinal number κ is called superstrong if and only if there exists an elementary embedding j : V → M from V into a transitive inner model M with critical point κ and V j ⊆ M. Similarly, a cardinal κ is n-superstrong if and only if there exists an elementary embedding j : V → M from V into a transitive inner model M with critical point κ and V j n ⊆ M. Akihiro Kanamori has shown that the consistency strength of an n+1-superstrong cardinal exceeds that of an n-huge cardinal for
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Superstrong_cardinal
date created:
date modified: 2024-03-04T06:30:36Z
main entity: {"identifier":"Q7644252","url":"https://www.wikidata.org/entity/Q7644252"}
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