Successor cardinal
id:
successor-cardinal-299-16792875
title:
Successor cardinal
text:
In set theory, one can define a successor operation on cardinal numbers in a similar way to the successor operation on the ordinal numbers. The cardinal successor coincides with the ordinal successor for finite cardinals, but in the infinite case they diverge because every infinite ordinal and its successor have the same cardinality. Using the von Neumann cardinal assignment and the axiom of choice (AC), this successor operation is easy to define: for a cardinal number κ we have where ON is the
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Successor_cardinal
date created:
date modified:
2024-03-06T06:38:59Z
main entity:
{"identifier":"Q7632662","url":"https://www.wikidata.org/entity/Q7632662"}
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fields total:
13
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