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Measurable cardinals and the continuum hypothesis. (English) Zbl 0289.02044

03E35 Consistency and independence results
03E55 Large cardinals
03E50 Continuum hypothesis and Martin’s axiom
03E30 Axiomatics of classical set theory and its fragments
Full Text: DOI
[1] P. J. Cohen,Set theory and the continuum hypothesis, New York, 1966. · Zbl 0182.01301
[2] W. Easton,Powers of Regular Cardinals, doctoral dissertation, Princeton University, 1964.
[3] W. P. Hanf and D. Scott,Classifying inaccessible cardinals (abstract), Notices Amer. Math. Soc.,8 (1961), 445.
[4] R. Jensen,An imbedding theorem for countable ZF models (abstract), Ibid.,12 (1965), 720.
[5] H. J. Keisler and A. Tarski,From accessible to inaccessible cardinals, Fund. Math.,53 (1964), 225–308. · Zbl 0173.00802
[6] A. Lévy,Axiom schemata of strong infinity in axiomatic set theory, Pacific J. Math.,10 (1960), 223–238. · Zbl 0201.32602
[7] A. Lévy,Definability in Axiomatic Set Theory I, Logic, Methodology, and Philosophy of Science, Proceedings of the 1964 International Congress (Y. Bar-Hillel, ed.), Amsterdam, 1966, 127–151.
[8] K. McAloon,Some applications of Cohen’s method, doctoral dissertation, University of California, Berkeley, 1966.
[9] D. Scott,Measurable cardinals and constructible sets, Bull. Acad. Polon. Sci., Ser. des Sci. Math., Astr. et Phys.,9 (1961), 521–524. · Zbl 0154.00702
[10] D. Scott and R. Solovay,Boolean-valued people looking at set theory, To appear in the Proceedings of the 1967 Summer Institute on Set Theory in Los Angeles.
[11] J. H. Silver,The consistency of the generalized continuum hypothesis with the existence of a measurable cardinal (abstract), Notices Amer. Math. Soc.,13 (1966), 721.
[12] J. H. Silver,The independence of Kurepa’s conjecture and the unprovability of a two-cardinal conjecture in model theory (abstract), Ibid.,14 (1967), 415.
[13] R. Solovay,Independence results in the theory of cardinals. I, II. Preliminary Report (abstract), Ibid.,10 (1963), 595.
[14] R. Solovay,A model of set theory in which all sets of reals are Lebesgue measurable. To appear. · Zbl 0207.00905
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