How can I show that $\mathcal P(\mathbb N)$ is uncountable.
53399
Proof of the uncountability of reals using the diagonal argument—problem?
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
7607
How to prove that $\mathbb{Q}$ is not the intersection of a countable collection of open sets.
106091
Showing $\mathcal{P}(X)$ is isomorphic to $2^X$
52429
Explicit countable elementary extension of $\mathbb{N}$
153652
Countable ordinals are embeddable in the rationals $\Bbb Q$ -- proofs and their use of AC
154076
How to show this property of $\mathbb{RP}^{n}$.
324
Show uncountable set of real numbers has a point of accumulation
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
73350
Geometric solution to find a Set of totally ordered Subsets of $ \mathbb{N} $ is uncountable
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
76240
How is $\epsilon_0$ countable?
116676
Examples of uncountable sets with zero Lebesgue measure
79940
$\binom{p}{i}$ divisible by $p$, with $p$ prime
154474
Image of countable and uncountable sets