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31 August 2023
- 10:0010:00, 31 August 2023 diff hist +24 Second-order arithmetic No edit summary current
- 06:1206:12, 31 August 2023 diff hist +1,758 Ordinal collapsing function →List
- 06:1206:12, 31 August 2023 diff hist +1 Patterns of resemblance →Reflection criterion
- 06:0606:06, 31 August 2023 diff hist +87 Patterns of resemblance No edit summary
- 06:0506:05, 31 August 2023 diff hist +456 Patterns of resemblance No edit summary
- 06:0306:03, 31 August 2023 diff hist −82 Patterns of resemblance No edit summary
- 06:0206:02, 31 August 2023 diff hist −19 Patterns of resemblance No edit summary
- 05:5805:58, 31 August 2023 diff hist +16 Stability No edit summary current
- 05:5705:57, 31 August 2023 diff hist +468 Stability →(+η)-stability
- 04:1104:11, 31 August 2023 diff hist +43 Ordinal collapsing function Possibly less confusing wording
- 00:3200:32, 31 August 2023 diff hist +77 Gandy ordinal No edit summary current
- 00:3100:31, 31 August 2023 diff hist −14 Gandy ordinal "Diagonalizer" terminology not needed, Taranovsky has given this as an example of an ordinal assignment in DoR
- 00:2900:29, 31 August 2023 diff hist +159 Stability No edit summary
- 00:1800:18, 31 August 2023 diff hist +2 Mahlo cardinal →Weakly Mahlo
- 00:1000:10, 31 August 2023 diff hist +493 Stability No edit summary
30 August 2023
- 23:3623:36, 30 August 2023 diff hist +91 Stability More citation
29 August 2023
- 22:3822:38, 29 August 2023 diff hist 0 Patterns of resemblance →Stability
- 22:3822:38, 29 August 2023 diff hist +660 Patterns of resemblance No edit summary
- 22:3122:31, 29 August 2023 diff hist +1,037 Patterns of resemblance No edit summary
- 22:1822:18, 29 August 2023 diff hist +1,038 Patterns of resemblance No edit summary
- 21:5621:56, 29 August 2023 diff hist +130 Patterns of resemblance Stability isn't an ordinal notation
- 21:5121:51, 29 August 2023 diff hist −17 Ordinal function Linking
- 21:5021:50, 29 August 2023 diff hist +43 Ordinal Provable over ZFC (and I'd expect some weaker theories)
- 21:4021:40, 29 August 2023 diff hist +813 N Gap ordinal Created page with "A gap ordinal is an ordinal \(\alpha\) such that \((L_{\alpha+1}\setminus L_\alpha)\cap\mathcal P(\omega)=\varnothing\).<ref name="MarekSrebrny73">W. Marek, M. Srebrny, "[https://www.sciencedirect.com/science/article/pii/0003484374900059 Gaps in the Constructible Universe]" (1973). Annals of Mathematical Logic vol. 6, pp.359--394.</ref><sup>p.364</sup> An ordinal \(\alpha\) is said to start a gap if \(\alpha\) is a gap ordinal but for all \(\beta<\alpha\), \((L_\alpha\se..."
- 21:3321:33, 29 August 2023 diff hist −13 List of ordinals No edit summary
- 21:2921:29, 29 August 2023 diff hist +13 Sequence system Possibly clearer wording
- 21:2621:26, 29 August 2023 diff hist −31 Fodor's lemma No edit summary current
- 21:2421:24, 29 August 2023 diff hist +518 Weakly compact cardinal No edit summary
- 21:1821:18, 29 August 2023 diff hist +68 Talk:Weakly compact cardinal →"A relatively convoluted definition" current
- 21:1721:17, 29 August 2023 diff hist +12 Talk:Weakly compact cardinal →"A relatively convoluted definition"
- 21:1721:17, 29 August 2023 diff hist +63 Talk:Weakly compact cardinal No edit summary
- 21:1521:15, 29 August 2023 diff hist +892 N Talk:Weakly compact cardinal →"A relatively convoluted definition": new section Tag: New topic
2 March 2023
- 20:4220:42, 2 March 2023 diff hist +317 N Admissible Created page with "A set \(M\) is admissible if \((M,\in)\) is a model of Kripke-Platek set theory. An ordinal \(\alpha\) is admissible if there exists an admissible set \(M\) such that \(M\cap\textrm{Ord}=\alpha\). This definition of admissibility is equivalent to \(L_\alpha\vDash\textrm{KP}\).<ref>Probably in Barwise somewhere</ref>"
- 20:3920:39, 2 March 2023 diff hist +41 Cantor normal form No edit summary
12 January 2023
- 02:3402:34, 12 January 2023 diff hist +144 List of ordinals No edit summary
- 02:3302:33, 12 January 2023 diff hist +257 List of ordinals No edit summary
29 November 2022
- 02:3302:33, 29 November 2022 diff hist +19 Buchholz's psi-functions No edit summary
- 02:3302:33, 29 November 2022 diff hist +1,124 N Buchholz's psi-functions Created page with "Buchholz's \(\psi\)-functions are a family of functions \(\psi_\nu:(\omega+1)\times\textrm{Ord}\to\textrm{Ord},\;\alpha\mapsto\psi_\nu(\alpha)\) defined by Wilfried Buchholz in 1984. ==Historical background== In 1950, H. Bachmann defined the first ordinal collapsing function, Bachmann's \(\varphi\). While able to succinctly describe the Bachmann-Howard ordinal as \(\varphi_{\varepsilon_{\Omega+1}}(0)\), Bachmann's \(\varphi\) had a complicated definition Possible source..."
15 November 2022
- 01:1501:15, 15 November 2022 diff hist +189 Ordinal function Example of Veblen function being defined up to uncountable ordinal Tag: Visual edit
14 November 2022
- 23:5823:58, 14 November 2022 diff hist +52 Ordinal function Some context Tag: Visual edit
16 October 2022
- 02:5502:55, 16 October 2022 diff hist +33 Fodor's lemma No edit summary Tag: Visual edit
- 02:5302:53, 16 October 2022 diff hist +1,230 N Fodor's lemma Created page with "'''Fodor's lemma''' (or the '''pressing-down lemma''') is a lemma proven by Géza Fodor in 1956. The lemma states that when \(\kappa\) is an uncountable regular cardinal and \(S\) is a stationary set of ordinals \(<\kappa\), any regressive function \(f:S\to\{<\kappa\}\) must be constant on a stationary set of ordinals \(<\kappa\). ==Importance to apierology== Since \(\omega_1\) is regular, setting \(S=\{<\omega_1\}\), Fodor's lemma implies there does not exist a fundame..."
- 01:0901:09, 16 October 2022 diff hist +165 Ordinal Foundations other than set theory Tag: Visual edit
- 00:3500:35, 16 October 2022 diff hist +74 Ordinal ZFC not only setting of pure sets. There are also theories with urelements →Von Neumann definition Tag: Visual edit
8 September 2022
- 02:5002:50, 8 September 2022 diff hist +2,000 List of ordinals More ordinals
- 02:1202:12, 8 September 2022 diff hist +29 List of ordinals Most common notation instead of xkcdforums notation
- 02:1102:11, 8 September 2022 diff hist +494 List of ordinals No edit summary Tag: Visual edit
- 02:0102:01, 8 September 2022 diff hist +788 List of ordinals More
- 01:4701:47, 8 September 2022 diff hist +988 List of ordinals Some ordinals Tag: Visual edit
5 September 2022
- 21:2621:26, 5 September 2022 diff hist +40 N List of ordinals C7X moved page List of ordinals to List of countable ordinals Tag: New redirect