Can a Power Set be a Subset or Element of its Set
90055
Show that $\mathcal P(x)\notin x$
79697
If $A$ is a subset of $B$, then the closure of $A$ is contained in the closure of $B$.
42095
Existence in ZF of a set with countable power set
100726
Prove that the set of powers of a set, $\{ A^n : n \in \mathbb{N} \}$ exists by using ZFC axioms (without replacement).
33064
Powerset of set with empty sets
43979
The total number of subsets is $2^n$ for $n$ elements
26572
Does the Symmetric difference operator define a group on the powerset of a set?
97951
Is the void set (∅) a proper subset of every set?
71976
Is every element on a set also a set?
50258
How can a set contain itself?
3101
Meaning of a set in the exponent
142267
If two sets have the same cardinality, then so do their power sets. Converse can't be answered?
158671
Cardinality of a set that consists of all existing cardinalities
153072
Guessing a subset of $\{1,...,N\}$
36789
The power set of the intersection of two sets equals the intersection of the power sets of each set
41052
The set of real numbers and power set of the natural numbers
31389
consistency of ZF\{Power Set axiom}