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  #1  
Old 10-28-2007, 06:10 AM
nightdreamer nightdreamer is offline
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Godel uses impredicative statements which make his incompleteness theorem invalid

The Australian philosopher colin leslie dean points out that Godel uses
impredicative statements which make his incompleteness theorem invalid
-even peter smith and george admitt he uses impredicative statements-ie
self referencing

Godel states

“ The solution suggested by Whitehead and Russell, that a proposition
cannot say something about itself , is to drastic... We saw that we can
construct propositions which make statements about themselves,…

What Godel understood by "propositions which make statements about
themselves",…

is the sense Russell defined them to be

'Whatever involves all of a collection must not be one of the collection.'
Put otherwise, if to define a collection of objects one must use the total
collection itself, then the definition is meaningless. This explanation
given by Russell in 1905 was accepted by Poincare' in 1906, who coined the
term impredicative definition, (Kline's "Mathematics: The Loss of
Certainty"

Note Ponicare called these self referencing statements impredicative
definitions

texts books on logic tell us self referencing ,statements (petitio
principii) are invalid

even Godel said they make mathematics false

as he states
"consider this rather as a proof that the vicious circle principle is
false than that classical mathematics is false”

It for this reason as well us others ie useing the axiom of reducibility,
paradoxes miss use of the theory of types that colin leslie dean argues
that Godels incompleteness theorem is invalid - irrespective of what
others have proved Godels proof is invalid (being invalid does not mean it
is wrong only that Godels proof is invalid)

http://gamahucherpress.yellowgum.com...phy/GODEL5.pdf

GÖDEL’S INCOMPLETENESS THEOREM. ENDS IN ABSURDITY OR MEANINGLESSNESS
GÖDEL IS A COMPLETE FAILURE AS HE ENDS IN UTTER MEANINGLESSNESS
CASE STUDY IN THE MEANINGLESSNESS OF ALL VIEWS
By
COLIN LESLIE DEAN
B.SC, B.A, B.LITT (HONS), M.A, B,LITT (HONS), M.A,
M.A (PSYCHOANALYTIC STUDIES), MASTER OF PSYCHOANALYTIC STUDIES, GRAD CERT
(LITERARY STUDIES)
GAMAHUCHER PRESS WEST GEELONG, VICTORIA AUSTRALIA
2007
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  #2  
Old 10-29-2007, 02:17 PM
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Bitterduck Bitterduck is offline
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Yet no degree in logic and mathematics. I'm sorry but a masters isn't even close to a PhD in mathematics.
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Old 10-31-2007, 09:48 PM
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Symptom777 Symptom777 is offline
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yah boo sucks.
Colin Lesbie Queen is a gay rim licker.
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