Strange applications of the Axiom of Choice
103154
Is there a *simple* example of how the axiom of choice can lead to a counterintuitive result?
12539
Set Theory: Equivalency of Axiom of Choice and Choice Function
139992
Is power-associativity finitely axiomatizable?
126870
Show that axiom of replacement implies from the Axiom of Specification [Proof Verification]
78228
Hausdorff Maximal Principle and Axiom of Choice
45878
Elementary Set Theory: Ordinals, Well Orderings and Isomorphisms
27600
Gödel's (in)completeness theorems and the axiomatization of Euclidean geometry
102202
The smallest infinity and the axiom of choice
47697
Russell's paradox: a set cannot contain its own powerset
152272
Can you explain the "Axiom of choice" in simple terms?
149277
Does well-ordering of the proper class of cardinal numbers imply choice?
131889
Axiom of choice and calculus
139678
Advantage of accepting the axiom of choice
29744
Compactness and axiomatisability
65308
Axiom of Choice: Family of non-empty sets mutually disjoint or not?
156161
Banach-Tarski theorem without axiom of choice
84394
Choice function for a collection of nonempty subsets of $\{0,1\}^\omega$