Additively indecomposable ordinal

id: additively-indecomposable-ordinal-310-15080507
title: Additively indecomposable ordinal
text: In set theory, a branch of mathematics, an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any β , γ < α , we have β + γ < α . Additively indecomposable ordinals were named the gamma numbers by Cantor,p.20 and are also called additive principal numbers. The class of additively indecomposable ordinals may be denoted H , from the German "Hauptzahl". The additively indecomposable ordinals are precisely those ordinals of the form ω β for some ordinal β . From th
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original url: https://en.wikipedia.org/wiki/Additively_indecomposable_ordinal
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date modified: 2024-04-17T18:23:04Z
main entity: {"identifier":"Q4681349","url":"https://www.wikidata.org/entity/Q4681349"}
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