It is true that the criterio of comparation of sets is equivalent to Axiom choice?
48615
Does the assertion that every two cardinalities are comparable imply the axiom of choice?
7733
If A is infinite, does there have to exist a subset of A that is equivalent to A?
132287
Axiom of Choice and Right Inverse
19414
Uncountable subset with uncountable complement, without the Axiom of Choice
120252
Equivalences of bounded sets definitions
49220
Open Sets of $\mathbb{R}^1$ and axiom of choice
36281
A set is infinite iff it is equivalent to a proper subset of itself
87928
Proof of logical equivalence of biconditional and other proposition
116527
Validating a proof for necessary and sufficient conditions on sets A & B such that $P(A) \cup P(B) = P(A\cup B)$
141299
Alternative set theories
21202
Axiom of choice is equivalent to every relation includes a function with the same domain
83518
Proving Two sets have same cardinality
50506
What concept does an open set axiomatise?
73526
The equivalence of "Every surjection has a right inverse" and the Axiom of Choice
9158
Proving that a propositional theory of any cardinality has an independent set of axioms
17624
Axiom of Choice iff Every set has a choice function
132046
Looking for Cantor's original proof of the Cantor-Bernstein theorem that relies on the axiom of choice?