Is the axiom of choice really all that important?
139678
Advantage of accepting the axiom of choice
5313
Existence of how many sets is asserted by the axiom of choice in this case?
132287
Axiom of Choice and Right Inverse
141814
Proofs using theorems instead of axioms
25567
Is there any significance in the order in which group axioms are presented?
38433
What are the necessary conditions for an action to be regarded as a free choice?
78228
Hausdorff Maximal Principle and Axiom of Choice
77654
Is the uncertainty principle axiomatic or derived?
14496
Is there any example of a non-measurable set whose proof of existence doesn't appeal to the Axiom of choice?
78148
Why does the infinite prisoners and hats puzzle require the axiom of choice?
55564
Can the union axiom be weakened?
84378
Does axiom of foundation/regularity protect against Russell-like paradoxes?
49220
Open Sets of $\mathbb{R}^1$ and axiom of choice
12449
How to formulate continuum hypothesis without the axiom of choice?
2334
Best book on axiomatic set theory.
21202
Axiom of choice is equivalent to every relation includes a function with the same domain
69337
Zorn's Lemma And Axiom of Choice