Why isn't the axiom of choice obvious?
45623
Axiom of Choice: What exactly is a choice, and when and why is it needed?
76666
Why does the basic intuition fail here? What is the reason behind it?
150385
The use of the Axiom of Choice in this proof of the sequence lemma
149277
Does well-ordering of the proper class of cardinal numbers imply choice?
107216
What's so special about the group axioms?
66636
Problems with introducing ordered pairs axiomatically
19811
$(P(X), C_R)$ may be a choice structure even if $R$ is not a rational relation.
126870
Show that axiom of replacement implies from the Axiom of Specification [Proof Verification]
7214
Does linear ordering need the Axiom of Choice?
84485
What is the purpose of the Axiom of regularity/foundation?
49276
Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
5313
Existence of how many sets is asserted by the axiom of choice in this case?
134319
When induction proofs need a choice function
21202
Axiom of choice is equivalent to every relation includes a function with the same domain
73526
The equivalence of "Every surjection has a right inverse" and the Axiom of Choice
130865
Why is the axiom of choice separated from the other axioms?
131889
Axiom of choice and calculus