This addresses the “proof” of Cantor’s paradox in Suppes (Axiomatic Set Theory), pg 5.
Let S1 be the set of all sets EXCEPT S1 with cardinality n.
Let S2 be the set of all subsets of S1 EXCEPT S2 with cardinality p.
Then every member of S1 is a member of S2 and every member of S2 is a member of S1. Therefore n=p and Cantors “paradox” is not a paradox.
In all fairness to Suppes, he made the mistake of using intelligible language.