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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 statementsie 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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