Why is the cardinal number of power set $2^n$?
43979
The total number of subsets is $2^n$ for $n$ elements
1409
Proving that the given set has at most $2^{n-1}$ elements
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
79974
The cardinality of Lebesgue sets
26607
The idea behind the sum of powers of 2
122947
What is the cardinality of the set of infinite cardinalities?
44497
Can we equip the power set $P$ of any set $S$ with a binary operation such that $P$ becomes a group (with some restrictions)?
3101
Meaning of a set in the exponent
149673
Cardinality of an infinite union of finite sets
30021
Bijection between set of all binary sequences and power set of $\mathbb N$.
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
79568
Cardinality of the set $D$
69166
Cardinality of $\mathbb{R}$ and $\mathbb{R}^2$
141088
Proof : $2^{n-1}\mid n!$ if and only if $n$ is a power of $2$.
151355
Are cardinal numbers well defined? Or could we have something like $\aleph_{1/2}$?
71534
Combinatorial explanation for why $n^2 = {n \choose 2} + {n+1 \choose 2}$
9082
Do sets, whose power sets have the same cardinality, have the same cardinality?