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The section "Initial ordinal of a cardinal" is also literally on ordinal number. If we really need both, let us make it a template.-- Patrick 12:44, 9 June 2007 (UTC)
isn't it slightly misleading to say that the initial ordinal is the infimum of a set of ordinals? wouldn't it be more appropriate to place a minimum there (considering every set of ordinals has a smallest element, since, well, they're well-ordered).-- 87.99.27.160 ( talk) 00:32, 10 March 2010 (UTC)
Is it worth mentioning that this notation isn't to be confused with the occasional usage of ωn to denote ω↑↑n? Some papers such as "Hydrae and Subsystems of Arithmetic", "A Note on Gentzen's Ordinal Assignment", and " A Model-Theoretic Approach to Ordinal Analysis" use ωn this way. C7XWiki ( talk) 21:58, 3 September 2022 (UTC)
![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
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The section "Initial ordinal of a cardinal" is also literally on ordinal number. If we really need both, let us make it a template.-- Patrick 12:44, 9 June 2007 (UTC)
isn't it slightly misleading to say that the initial ordinal is the infimum of a set of ordinals? wouldn't it be more appropriate to place a minimum there (considering every set of ordinals has a smallest element, since, well, they're well-ordered).-- 87.99.27.160 ( talk) 00:32, 10 March 2010 (UTC)
Is it worth mentioning that this notation isn't to be confused with the occasional usage of ωn to denote ω↑↑n? Some papers such as "Hydrae and Subsystems of Arithmetic", "A Note on Gentzen's Ordinal Assignment", and " A Model-Theoretic Approach to Ordinal Analysis" use ωn this way. C7XWiki ( talk) 21:58, 3 September 2022 (UTC)