What's wrong with my argument of choice function from infinite family of nonempty sets?
48030
Axiom of Choice: Where does my argument for proving the axiom of choice fail? Help me understand why this is an axiom, and not a theorem.
144899
Do We Need the Axiom of Choice for Finite Sets?
149643
Stuck on validation of argument using rules of inference
272
Cantor Sets/nonempty/cardinality
47697
Russell's paradox: a set cannot contain its own powerset
77548
Given an arbitrary infinite set $S$, how to construct an injection $\mathbb{N} \to S$ with the Axiom of Choice?
158507
Max family of odd subset of a nested set.
112316
Why does my recursive function return None?
30660
Empty set does not belong to empty set
5313
Existence of how many sets is asserted by the axiom of choice in this case?
102592
Arbitrary Set A a Function??
132382
Showing a set is nowhere dense in $C([0,1])$
62936
Proving equivalencies of two versions of the Axiom of Choice
33064
Powerset of set with empty sets
64075
Prove that a set of connectives is inadequate
121847
Don't we need the axiom of choice to choose from a non-empty set?
77546
Does a "backwards" choice function imply the Axiom of Choice?