query: Equivalent to the axiom of choice?
positive_passages.docid: 149277
positive_passages.text: Does well-ordering of the proper class of cardinal numbers imply choice?
negative_passages.docid: 104771
negative_passages.text: Dedekind's cut and axioms
negative_passages.docid: 34045
negative_passages.text: 3 Statements of axiom of choice are equivalent
negative_passages.docid: 139992
negative_passages.text: Is power-associativity finitely axiomatizable?
negative_passages.docid: 20252
negative_passages.text: The Axiom of Choice and the Cartesian Product.
negative_passages.docid: 53025
negative_passages.text: Why the need of Axiom of Countable Choice?
negative_passages.docid: 35123
negative_passages.text: How do the separation axioms follow from the replacement axioms?
negative_passages.docid: 108045
negative_passages.text: Show that are logically equivalent
negative_passages.docid: 78290
negative_passages.text: Countable axiom of choice: why you can't prove it from just ZF
negative_passages.docid: 31389
negative_passages.text: consistency of ZF\{Power Set axiom}
negative_passages.docid: 7214
negative_passages.text: Does linear ordering need the Axiom of Choice?
negative_passages.docid: 135025
negative_passages.text: Axiomatization of a Topology using the Boundary
negative_passages.docid: 155207
negative_passages.text: Confusion regarding one formulation of the Axiom of Choice.
negative_passages.docid: 7865
negative_passages.text: Complete Newbie: Axiom of Foundation Exercise
negative_passages.docid: 49276
negative_passages.text: Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
negative_passages.docid: 139678
negative_passages.text: Advantage of accepting the axiom of choice
negative_passages.docid: 17624
negative_passages.text: Axiom of Choice iff Every set has a choice function