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Topic: ZFC is shown to be inconsistent
Replies: 6   Last Post: Jun 6, 2014 1:00 PM

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Posts: 891
Registered: 3/3/09
ZFC is shown to be inconsistent
Posted: Jun 5, 2014 8:09 AM
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australias leading erotic poet colin leslie dean has shown ZFC to be

an axiom of ZFC ie axiom of separation outlaws itself thus making ZFC


3. 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

now Russell's paradox is a famous example of an impredicative
construction, namely the set of all sets which do not contain

the axiom of separation is used to outlaw impredicative statements
like Russells paradox

but this axiom of separation is itself impredicative

"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 it outlaws itself
thus ZFC contradicts itself

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