jnana Posted May 7 Share Posted May 7 colin leslie dean proves ZFC is inconsistent:thus ALL mathematics falls into meaninglessness The Foundations of Mathematics end in meaningless jibbering nonsense A) Mathematics ends in contradiction-6 proofs http://gamahucherpress.yellowgum.com/wp-content/uploads/MATHEMATICS.pdf and https://www.scribd.com/document/40697621/Mathematics-Ends-in-Meaninglessness-ie-self-contradiction Proof 5 ZFC is inconsistent:thus ALL mathematics falls into meaninglessness https://brilliant.org/wiki/zfc/ ZFC. ZFC, or Zermelo-Fraenkel set theory, is an axiomatic system used to formally define set theory (and thus mathematics in general). but ZFC is inconsistent:thus ALL mathematics falls into meaninglessness proof it all began with Russells paradox and to get around the consequences of it Modern set theory just outlaws/blocks/bans this Russells paradox by the introduction of the ad hoc axiom the Axiom schema of specification ie axiom of separation which wiki says http://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_theory "The restriction to z is necessary to avoid Russell's paradox and its variants. " http://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_theory "Axiom schema of specification (also called the axiom schema of separation or of restricted comprehension): If z is a set, and \phi! is any property which may characterize the elements x of z, then there is a subset y of z containing those x in z which satisfy the property. The "restriction" to z is necessary to avoid Russell's paradox and its variant" now Russell's paradox is a famous example of an impredicative construction, namely the set of all sets which do not contain themselves the axiom of separation is used to outlaw/block/ban impredicative statements like Russells paradox but this axiom of separation is itself impredicative http://math.stanford.edu/~feferman/papers/predicativity.pdf "in ZF the fundamental source of impredicativity is the seperation axiom which asserts that for each well formed function p(x)of the language ZF the existence of the set x : x } a ^ p(x) for any set a Since the formular p may contain quantifiers ranging over the supposed "totality" of all the sets this is impredicativity according to the VCP this impredicativity is given teeth by the axiom of infinity" thus ZFC thus it outlaws/blocks/bans itself thus 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 inconsistent Now we have paradoxes like Russells paradox Banach-Tarskin paradox Burili-Forti paradox with the axiom of seperation banning itself ZFC is thus inconsistent and thus ALL mathematics is just rubbish meaningless jibbering nonsense -1 Link to comment Share on other sites More sharing options...
swansont Posted May 7 Share Posted May 7 ! Moderator Note Posting your speculation in someone else’s thread is hijacking, and the rules require material for discussion be posted here, not via links. Link to comment Share on other sites More sharing options...
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