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 false | |||||||||
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Omar De La Cruz, Eric Hall, Paul Howard, Jean E. Rubin & Adrienne Stanley (2002). Definitions of Compactness and the Axiom of Choice. Journal of Symbolic Logic 67 (1):143 - 161.
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Piotr Koszmider (1993). On Coherent Families of Finite-to-One Functions. Journal of Symbolic Logic 58 (1):128-138.
John L. Bell, The Axiom of Choice. Stanford Encyclopedia of Philosophy.
Paul E. Howard, Arthur L. Rubin & Jean E. Rubin (1978). Independence Results for Class Forms of the Axiom of Choice. Journal of Symbolic Logic 43 (4):673-684.
Vivian Charles Walsh (1967). On the Significance of Choice Sets with Incompatibilities. Philosophy of Science 34 (3):243-250.
T. E. Forster & J. K. Truss (2003). Non-Well-Foundedness of Well-Orderable Power Sets. Journal of Symbolic Logic 68 (3):879-884.
G. P. Monro (1983). On Generic Extensions Without the Axiom of Choice. Journal of Symbolic Logic 48 (1):39-52.
Paul E. Howard (1973). Limitations on the Fraenkel-Mostowski Method of Independence Proofs. Journal of Symbolic Logic 38 (3):416-422.
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