List of ordinals: Difference between revisions
Some ordinals
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* [[0]], the smallest ordinal
* [[1]], the first successor ordinal
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* [[church_kleene_ordinal|\( \omega^{\text{CK}}_{1} \)]]
* RECURSIVE ORDINALS GO HERE<sup>(sort out)</sup>
* The least recursively inaccessible ordinal<ref name=":0">D. Madore, [http://www.madore.org/~david/math/ordinal-zoo.pdf A Zoo of Ordinals] (2017). Accessed 7 September 2022.</ref><sup>(p.3)</sup>
* STABILITY STUFF GOES HERE<sup>(sort out)</sup>▼
* The least recursively Mahlo ordinal<ref name=":0" /><sup>(p.3)</sup>
* The least recursively hyper-Mahlo ordinal<ref name=":1">W. Richter, P. Aczel, [https://www.duo.uio.no/handle/10852/44063<nowiki> Inductive Definitions and Reflecting Properties of Admissible Ordinals] (1973, preprint, Universitetet i Oslo). Accessed 7 September 2022.</nowiki></ref><sup>(p.13)</sup>
* The least \( \Pi_n \)-reflecting ordinals, for \( 2<n<\omega \)<ref name=":1" />
* The least \( (+1) \)-stable ordinal<ref name=":0" /><sup>(p.4)</sup>
* The least recursively
* The least \( (^+) \)-stable ordinal<ref name=":0" /><sup>(p.4)</sup>
* The least doubly \( (+1) \)-stable ordinal<ref name=":0" /><sup>(p.4)</sup>
* The least nonprojectible ordinal<ref name=":0" /><sup>(p.5)</sup>
▲* HIGHER STABILITY STUFF GOES HERE<sup>(sort out)</sup>
* [[Infinite_time_Turing_machine|Infinite time Turing machine]] ordinals
** \( \lambda \), the supremum of all writable ordinals
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* MORE STUFF GOES HERE<sup>(sort out)</sup>
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* [[omega_1|\( \Omega \)]], the smallest [[uncountable_ordinal|uncountable ordinal]]
* \( I \), the smallest [[inaccessible_ordinal|inaccessible ordinal]]
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