Why do we need the axiom of choice?
45623
Axiom of Choice: What exactly is a choice, and when and why is it needed?
73526
The equivalence of "Every surjection has a right inverse" and the Axiom of Choice
69337
Zorn's Lemma And Axiom of Choice
106670
Existence of vector space complement and axiom of choice
49220
Open Sets of $\mathbb{R}^1$ and axiom of choice
38433
What are the necessary conditions for an action to be regarded as a free choice?
144899
Do We Need the Axiom of Choice for Finite Sets?
104771
Dedekind's cut and axioms
103154
Is there a *simple* example of how the axiom of choice can lead to a counterintuitive result?
56191
How to demystify the axioms of propositional logic?
131889
Axiom of choice and calculus
84378
Does axiom of foundation/regularity protect against Russell-like paradoxes?
155438
Bayes rule logic. Why we do use this?
120701
Why do we need to learn Set Theory?
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.
88566
Is denying "Paradoxical Partitioning" equivalent to accepting the Axiom of Choice?
21374
What is exactly the difference between a definition and an axiom?