I'm having trouble grasping the concept of a power set. Let's say we have a set P(P(P(A))), what is the minimum amount of elements in that set?
By substituting A = $\emptyset$ I get 4 elements {$\emptyset$, {$\emptyset$}, {{$\emptyset$}}, {$\emptyset$, {$\emptyset$}}} but that is the result when I'm solving/going "from the bottom up" and when I look from the top I kinda get a feeling that it should have only 2 elements meaning {$\emptyset$, P(P(A))} where P(P(A)) is a single element with some subsets inside.
I hope I expressed my problem well enough, this is my first time translating math to other language