正則基数
(regular cardinal から転送)
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2024/09/18 05:32 UTC 版)
- ^ Maddy, Penelope (1988), “Believing the axioms. I”, Journal of Symbolic Logic 53 (2): 481–511, doi:10.2307/2274520, JSTOR 2274520, MR947855 , "Early hints of the Axiom of Replacement can be found in Cantor's letter to Dedekind [1899] and in Mirimanoff [1917]". Maddy は Mirimanoff の2本の論文を引用している: "Les antinomies de Russell et de Burali-Forti et le problème fundamental de la théorie des ensembles" and "Remarques sur la théorie des ensembles et les antinomies Cantorienne", both in L'Enseignement Mathématique (1917).
- ^ T. Arai, "Bounds on provability in set theories" (2012, p.2). Accessed 4 August 2022.
- ^ Holy, Lücke, Njegomir, "Small embedding characterizations for large cardinals". Annals of Pure and Applied Logic vol. 170, no. 2 (2019), pp.251--271.
- Herbert B. Enderton, Elements of Set Theory, ISBN 0-12-238440-7
- en:Kenneth Kunen, Set Theory, An Introduction to Independence Proofs, ISBN 0-444-85401-0
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