Cardinality of an infinite set divided by the cardinality of another infinite set (or itself)
39878
How to divide aleph numbers
134071
If A is a finite set and B is an infinite set, then B\A is an infinite set
93330
Cardinality of all cardinalities
108922
Cardinality and infinite sets: naturals, integers, rationals, bijections
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$
36281
A set is infinite iff it is equivalent to a proper subset of itself
24372
Infinite Set is Disjoint Union of Two Infinite Sets
73850
Cardinality of set of functions
113211
Arithmetics of cardinalities: if $|A|=|C|$ and $|B|=|D|$ then $|A\times B|=|D\times C|$
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
137203
Measurable cardinal existence condition
14972
Cardinality of Vitali sets: countably or uncountably infinite?
98163
Question regarding exponentiation of cardinal numbers
48523
Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $
86421
Proof of the definition of cardinal exponentiation
152382
Can an infinite set A be larger than an infinite set B but still have the same cardinality?
107614
Partitioning an infinite set