Define P(A)= set of all subsets of A.
S(A) = A U {A}.

Let 0=empty set;

a. Compute S(0), S(S(0)), S(S(S(0))), S(S(S(S(0, ...
b. Compute P(0), P(P(0)), P(P(P(0))),

Depict the above up to at least 5 levels, by placing the S-series in the middle as main bone, and growing the flesh by depicting elements of P's around the main bone.

Set Theorists call this the Cumulative hierarchy of sets. Describe it!