What is N the power set of?
127362
How do I prove that there doesn't exist a set whose power set is countable?
145214
Showing the power set is equinumerous to ${}^X2$
117658
A set with n elements has 2^n subsets
33894
How many chains are there in a finite power set?
18527
Confusion on Derived Sets and the $n$-the Derived Set
60416
Finding a permutation, and number of, from powers of the permutation
1318
What is wrong with this proof that the power set of the natural numbers is countable?
47697
Russell's paradox: a set cannot contain its own powerset
52614
(exercise from Tao's analysis book) Proof of a lemma relating to power set of X
54554
If a product of relatively prime integers is an $n$th power, then each is an $n$th power
104274
Express $C$ interms of the sets $A_n$
151521
Set Theory: Tree Property
56370
Associative operation on a set $S$
36789
The power set of the intersection of two sets equals the intersection of the power sets of each set
116501
How to show equinumerosity of  the powerset of $A$ and the set of functions from $A$ to $\{0,1\}$ without cardinal arithmetic?
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
40662
What is the definition of a set?