Cardinality of $\mathcal{P}(\mathbb{N})$ and $\mathbb{R}$
41052
The set of real numbers and power set of the natural numbers
156006
Cardinality of set containing all infinite subsets of $\mathbb{Q}$
121273
For any prime number $p$, let $A_p$ be the set of integers $d\in \{1,2,\dots, 999\}$ s. Then what is the cardinality of $A_p$?
108922
Cardinality and infinite sets: naturals, integers, rationals, bijections
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
39880
Cardinality of Orderings of $\mathbb{R}$
81509
The cardinality of a countable union of countable sets, without the axiom of choice
139537
Show that $x\subseteq y \Leftrightarrow \mathcal{P}(x)\subseteq\mathcal{P}(y)$.
156783
$\mathbb R$ has the same cardinality of any interval
149673
Cardinality of an infinite union of finite sets
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
79974
The cardinality of Lebesgue sets
40071
What is the cardinality of the set of all topologies on $\mathbb{R}$?
82628
Cardinality of a set of closed intervals
53642
Cardinality of Borel sigma algebra
123847
Cardinality of $GL_n(K)$ when $K$ is finite
124333
A bijection between $\mathbb{N}$ and $\mathbb{P}(\mathbb{N})$?