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• 13:34, 30 August 2023 RhubarbJayde talk contribs created page Omega^omega (Created page with "The ordinal \( \omega^\omega \) is relatively small compared to other countable ordinals, but has some interesting properties. In particular, \( \omega^\omega \) is: * The least \( \alpha \) so that \( \alpha \) is the \( \alpha \)th limit ordinal. * The least limit of additive principal ordinals. * The least ordinal which is, for all \( n < \omega \), an element of the class \( L^n(\mathrm{Ord}) \), where \( L \) is the limit point operator. * The proof-theoretic ordin...") Tag: Visual edit