Strongly compact cardinal

id: strongly-compact-cardinal-217-555625
title: Strongly compact cardinal
text: In set theory, a branch of mathematics, a strongly compact cardinal is a certain kind of large cardinal. An uncountable cardinal κ is strongly compact if and only if every κ-complete filter can be extended to a κ-complete ultrafilter. Strongly compact cardinals were originally defined in terms of infinitary logic, where logical operators are allowed to take infinitely many operands. The logic on a regular cardinal κ is defined by requiring the number of operands for each operator to be less than
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Strongly_compact_cardinal
date created: 2005-05-29T04:18:53Z
date modified: 2024-09-12T22:28:43Z
main entity: {"identifier":"Q7624677","url":"https://www.wikidata.org/entity/Q7624677"}
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fields total: 13
integrity: 14

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