Models of ZF with the same sets of sets of ordinals
G. Monro (1973)
Fundamenta Mathematicae
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Displaying similar documents to “Ultraproducts and the axiom of choice”
Models of ZF with the same sets of sets of ordinals
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Ladislav Spišiak, Peter Vojtáš (1988)
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Extension of ZF-models to models with the scheme of choice
Andrzej Zarach (1977)
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Decomposable cardinals.
G. Monro (1973)
Fundamenta Mathematicae
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A remark on the independence of a basis hypothesis
Wojciech Guzicki (1973)
Fundamenta Mathematicae
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Forcing with proper classes
Andrzej Zarach (1973)
Fundamenta Mathematicae
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Internally standard set theories
George Wilmers (1971)
Fundamenta Mathematicae
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On a Certain Notion of Finite and a Finiteness Class in Set Theory without Choice
Horst Herrlich, Paul Howard, Eleftherios Tachtsis (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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We study the deductive strength of properties under basic set-theoretical operations of the subclass E-Fin of the Dedekind finite sets in set theory without the Axiom of Choice ( AC ), which consists of all E-finite sets, where a set X is called E-finite if for no proper subset Y of X is there a surjection f:Y → X.