Is the powerset of a countably infinite set countable?
52682
Is the power set of the natural numbers countable?
23442
Cardinality of the union of infinite and countable sets
42794
Prove that functions map countable sets to countable sets
12436
The cardinality of the set of all finite subsets of an infinite set
67064
Uncountable minus countable set is uncountable
66301
The cardinality of the set of countably infinite subsets of an infinite set
156006
Cardinality of set containing all infinite subsets of $\mathbb{Q}$
68230
The cardinality of a countable union of sets with less than continuum cardinality
99478
countably infinite union of countably infinite sets is countable
117561
A set is infinite iff there is a one-to-one correspondent with one of its proper subsets?
122947
What is the cardinality of the set of infinite cardinalities?
149673
Cardinality of an infinite union of finite sets
14972
Cardinality of Vitali sets: countably or uncountably infinite?
84936
The set of all finite sequences of members of a countable set is also countable
1318
What is wrong with this proof that the power set of the natural numbers is countable?
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
60678
Does 'A countable infinite Cartesian product of countable sets is not necessarily countable' violate induction principle?