Axiom of Choice : Is it Axiom? or Trivial Fact?
45623
Axiom of Choice: What exactly is a choice, and when and why is it needed?
78148
Why does the infinite prisoners and hats puzzle require the axiom of choice?
48615
Does the assertion that every two cardinalities are comparable imply the axiom of choice?
53025
Why the need of Axiom of Countable Choice?
81509
The cardinality of a countable union of countable sets, without the axiom of choice
132287
Axiom of Choice and Right Inverse
7865
Complete Newbie: Axiom of Foundation Exercise
40291
What's the point of the axiom of extensionality?
29755
Power set equivalency of Axiom of Choice
142219
Does the splitting lemma hold without the axiom of choice?
88566
Is denying "Paradoxical Partitioning" equivalent to accepting the Axiom of Choice?
76443
Frequentism and priors
121847
Don't we need the axiom of choice to choose from a non-empty set?
3663
Finding counterexamples in elementary set theory.
49276
Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
77546
Does a "backwards" choice function imply the Axiom of Choice?
7214
Does linear ordering need the Axiom of Choice?