Is cardinal exponentiation strictly monotone in the exponent?
9082
Do sets, whose power sets have the same cardinality, have the same cardinality?
118400
Is there a monotonic function discontinuous over some dense set?
38764
bound on the cardinality of the continuum? I hope not
65371
Does $2^X \cong 2^Y$ imply $X \cong Y$ without assuming the axiom of choice?
137203
Measurable cardinal existence condition
93330
Cardinality of all cardinalities
35043
Cardinality of a set A is strictly less than the cardinality of the power set of A
149277
Does well-ordering of the proper class of cardinal numbers imply choice?
45218
Comparing the two cardinals $\aleph_0^{\aleph_0}$ and $2^{\aleph_0}$
63618
Can all ordinals be obtained by taking successors and countable limits?
42314
Without appealing to choice, can we prove that if $X$ is well-orderable, then so too is $2^X$?
35264
Must a monotone function have a monotone derivative?
66301
The cardinality of the set of countably infinite subsets of an infinite set
63276
Is an arbitrary union of a chain of countable sets countable?
5840
divides, not divides and cardinalities
47637
Are strict local minima of a general function always countable?
107839
Are there nontrivial equations for hyperoperations above exponentiation?