Limit ordinal
id:
limit-ordinal-279-13374337
title:
Limit ordinal
text:
In set theory, a limit ordinal is an ordinal number that is neither zero nor a successor ordinal. Alternatively, an ordinal λ is a limit ordinal if there is an ordinal less than λ, and whenever β is an ordinal less than λ, then there exists an ordinal γ such that β < γ < λ. Every ordinal number is either zero, or a successor ordinal, or a limit ordinal. For example, the smallest limit ordinal is ω, the smallest ordinal greater than every natural number. This is a limit ordinal because for any sm
brand slug:
wiki
category slug:
encyclopedia
description:
Infinite ordinal number class
original url:
https://en.wikipedia.org/wiki/Limit_ordinal
date created:
date modified:
2024-03-11T20:34:08Z
main entity:
{"identifier":"Q2467845","url":"https://www.wikidata.org/entity/Q2467845"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/e6/Omega-exp-omega-labeled.svg","width":800,"height":800}
fields total:
13
integrity:
15