Is this partition axiom equivalent to axiom of choice over ZF?
73076
Equivalent statement of AC or not?
2342
How does equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ in $\sf{ZF}$ relate to the axiom of choice?
3902
Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?
156252
Are sets constructed using only ZF measurable using ZFC?
41305
Nondeterministic functions in sql partitioning functions
113065
Proving equivalences of statements equivalent to AC
153651
Countable partition in atoms
5584
How strong is this second-order version of ZFC?
155207
Confusion regarding one formulation of the Axiom of Choice.
34045
3 Statements of axiom of choice are equivalent
73415
The reason why the existence of inaccessible cardinals cannot be proven in ZFC
58602
In ZF, how would the structure of the cardinal numbers change by adopting this definition of cardinality?
7214
Does linear ordering need the Axiom of Choice?
135025
Axiomatization of a Topology using the Boundary
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
73368
Does this proof that every open set in a metric space is a union of open balls use the axiom of choice?
154230
In $\mathsf{ZF}$, for each set $A$ exists an ordinal $\alpha$ such that no surjection $A\to \alpha$ exists