Date: Feb 6, 2013 6:46 AM
Author: byron
Subject: It is shown that ZFC is inconsistent

It is shown that ZFC is inconsistenthttp://www.scribd.com/doc/40697621/Mathematics-Ends-in-Meaninglessness-ie-self-contradictionin ZFC IS AN AXIOM CALLED THE Axiom schema of specificationhttp://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_theory3. Axiom schema of specification (also called the axiom schema ofseparation or of restricted comprehension): If z is a set, and \phi\! isany property which may characterize the elements x of z, then there is asubset y of z containing those x in z which satisfy the property. The"restriction" to z is necessary to avoid Russell's paradox and itsvariantthe axiom of separation is used to outlaw/block/ban impredicative statements like Russells paradoxnowthe axiom of separation of ZFC is it self impredicative as Solomon Ferferman points outhttp://math.stanford.edu/~feferman/papers/predicativity.pdf"in ZF the fundamental source of impredicativity is the seperation axiomwhich asserts that for each well formed function p(x)of the language ZFthe existence of the set x : x } a ^ p(x) for any set a Since the formularp may contain quantifiers ranging over the supposed "totality" of all thesets this is impredicativity according to the VCP this impredicativity is given teeth by the axiom of infinitythus it outlaws/blocks/bans itselfthus ZFC contradicts itself and 1)ZFC is inconsistent 2) that the paradoxes it was meant to avoid are now still valid and thus mathematics is inconsistentNow we have paradoxes likeRussells paradoxBanach-Tarskin paradoxBurili-Forti paradoxWhich are now still validZFC is shown to be inconsistent by australias leading erotic poet colin leslie dean