Power Set of a Power Empty Set Find ℙ(ℙ(ℙ(∅))).
I know that ℙ(∅) = {∅}.
Then, ℙ(ℙ(∅)) = {∅, {∅}, {∅,{∅}}?
so, ℙ(ℙ(ℙ(∅))) = {∅,{∅, {∅}, {∅,{∅}}}?
Is it? Will it be ok if someone explain to me this concept?

P(ø) = {ø}
P(P(ø)) = P({ø}) = {{ø}, ø}
P(P(P(ø))) = P(P({ø})) = P({{ø}, ø}) = {{{ø}, ø}, {{ø}}, {ø}, ø}
