Why is the power set of $\mathbb{N}$ uncountable?
6681
How does Cantor's diagonal argument work?
145214
Showing the power set is equinumerous to ${}^X2$
23164
Why are irrational numbers uncountable and rationals countable?
155777
Show that infinite Cartesian product is uncountable
144735
Possible cardinality of power sets
52682
Is the power set of the natural numbers countable?
39956
Union of uncountable cardinals
75019
Infinite Cartesian product of countable sets is uncountable
125683
Power set of a finite set is finite proof, no cardinality of power set
30587
Uncountable well ordered set in $Z^-$ theory.
142144
Countable or uncountable; family of disjoint triangles?
33157
Proof that an infinite subset of $\mathbb{N}$ is countable
142267
If two sets have the same cardinality, then so do their power sets. Converse can't be answered?
103314
Let $\{K_n \}_{n \in \mathbb{N}}$ be a collection of sets, where $K_n = [n, \infty)$. Why is $\bigcap_{n \in \mathbb{N}} K_{n}$ empty?
1318
What is wrong with this proof that the power set of the natural numbers is countable?
14972
Cardinality of Vitali sets: countably or uncountably infinite?
114770
Proof that a perfect set is uncountable