Cardinality without Axiom of Choice
2342
How does equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ in $\sf{ZF}$ relate to the axiom of choice?
89167
Cardinality of equivalence relations in $\mathbb{N}$
141299
Alternative set theories
7785
Cardinality of sum-set
127233
Cardinality of order types in $\mathbb{N}$
73415
The reason why the existence of inaccessible cardinals cannot be proven in ZFC
137203
Measurable cardinal existence condition
17624
Axiom of Choice iff Every set has a choice function
9158
Proving that a propositional theory of any cardinality has an independent set of axioms
45216
Cardinality of $[0,1]$
14972
Cardinality of Vitali sets: countably or uncountably infinite?
121366
Intervals and cardinality
98518
Cardinality of equivalence relations on N
154578
Proving there is a sequence convergent to a limit point of a set without axiom of countable choice?
12539
Set Theory: Equivalency of Axiom of Choice and Choice Function
117047
exponentiation of cardinal number
3902
Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?