Cantor was Wrong - Part 1: The Power Set Theorem

Cantor's proof of his power set theorem is not argument to contradiction. It relies on a self-referential paradox in the guise of contradiction. Hence, the proof fails.
There is no proof that the power set of an infinite set constitutes a larger infinity than the set itself. It is my contention that all infinite sets have the same cardinality (if the cardinality of an infinite set is even definable).