Cantor was Wrong - Part One - Power Set Theorem

ABSTRACT: Cantor’s proof of his Power Set Theorem is not argument to contradiction. It is an exploitation of the paradoxical nature of infinity. NOTE THAT I USE TWO AXIOMS OF SET THEORY to take down Cantor's proof: The Axiom Schema of Specification (which is really an infinite number of axioms), and the Axiom of Extent. I believe that my analysis is irrefutable, but I'd love to have people try to refute it in the comments, and I'll respond. Cantor's proof begins with an assumption of a surjection from infinite set to its power set that establishes equal cardinality. Cantor then defines a paradoxical subset where the membership is defined based on a circular reference to the surjection itself. He then claims the paradox represents contradiction of the argument’s premise; that the surjection exists. Yet it is the (paradoxical) subset that does not exist, hence the assumed surjection is not contradicted and the proof fails. “I refuse to join any club that would have me as a member.” - Groucho Marx “This statement is false.” - Famous Paradox “How did this absurd proof survive for more than a century?” - steve Also, see my video on the diagonal argument: https://www.youtube.com/watch?v=Wcbfyjuu4ik