Does this basic cardinal inequality require the axiom of choice?
49276
Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
78228
Hausdorff Maximal Principle and Axiom of Choice
71133
prove inequlity about cardinality power sets
10839
Problem in Cardinality and Order
139678
Advantage of accepting the axiom of choice
34045
3 Statements of axiom of choice are equivalent
126870
Show that axiom of replacement implies from the Axiom of Specification [Proof Verification]
142219
Does the splitting lemma hold without the axiom of choice?
137203
Measurable cardinal existence condition
73526
The equivalence of "Every surjection has a right inverse" and the Axiom of Choice
65768
What is the cardinality of the set of the empty set?
73415
The reason why the existence of inaccessible cardinals cannot be proven in ZFC
27899
Can we prove the existence of $A\cup B$ without the union axiom?
132287
Axiom of Choice and Right Inverse
78148
Why does the infinite prisoners and hats puzzle require the axiom of choice?
62936
Proving equivalencies of two versions of the Axiom of Choice
153634
A statment about the equivalence between the Axiom of Choice and the surjectivity of the projections.