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The axiom of choice for well-ordered families and for families of well- orderable sets
Journal of Symbolic Logic 60 (4):1115-1117 (1995)
Abstract
We show that it is not possible to construct a Fraenkel-Mostowski model in which the axiom of choice for well-ordered families of sets and the axiom of choice for sets are both true, but the axiom of choice is falseOther Versions
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References found in this work
Set Theory and the Continuum Hypothesis.Kenneth Kunen - 1966 - Journal of Symbolic Logic 35 (4):591-592.
Limitations on the Fraenkel-Mostowski method of independence proofs.Paul E. Howard - 1973 - Journal of Symbolic Logic 38 (3):416-422.
A. I. Mal'cév. Algébraičéskié sistémy. Russian original of the foregoing. Izdatél'stvo “Nauka,” Moscow1970, 392 pp. - Thomas J. Jech. The axiom of choice. Studies in logic and the foundations of mathematics, vol. 75. North-Holland Publishing Company, Amsterdam and London, and American Elsevier Publishing Company, Inc., New York, 1973, XI + 202 pp. [REVIEW]Gershon Sageev - 1976 - Journal of Symbolic Logic 41 (4):784-785.
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