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  #1  
Old 10-19-2007, 10:53 AM
nightdreamer nightdreamer is offline
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2nd paradox in Godels incompleteness theorem that makes invalid

The Australian philosopher colin leslie dean points out a 2nd paradox
Godels incomplertenes theorem that makes it 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

Quote:
godel tells us


In what follows it will be shown .. there exist relatively simple
problems of ordinary whole numbers which cannot be decided on the basis of
the axioms. [NOTE IT IS CLEAR] This situation does not depend upon the
special nature of the
constructed systems [PM and ZF] but rather holds for a very wide class of
formal systems

Thus Godel is saying he is going to show that undecidability is not
dependent on the axioms of a system


yet he says this

After outlining theorem V1 in his P proof - where he uses the axiom of
choice- he states
"in the proof of theorem 1V no properties of the system P were used other
than the following
1) the class of axioms and the rules of inference- note these axioms
include reducibility
2) every recursive relation is definable with in the system of P
hence in every formal system which satisfies assumptions 1 and 2 [ which
uses system PM] and is w - consistent there exist undecidable propositions
”.

but
Godel has said that undecidability is not dependent on the axioms of a
system

There is a contradiction here

He says every formal system which satisfies assumption 1 and 2 ie
based upon the axioms of a system - but he has said undecidablity is independent of the axioms of a system


thus Godels proof is invalid due to contradiction
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  #2  
Old 10-19-2007, 05:19 PM
Bobbo Bobbo is offline
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Join Date: Apr 2004
Location: USA
Posts: 2,881
I get it. You're trying to drive us crazy. Everything is invalid. There is no hope. All is meaninglessness.

I wonder if there are enough tiles to make that word in Scrabble. Oh, never mind, probably wouldn't get that many points anyway.
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  #3  
Old 10-20-2007, 01:29 AM
nightdreamer nightdreamer is offline
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Quote:
I get it. You're trying to drive us crazy. Everything is invalid. There is no hope. All is meaninglessness
not trying to drive you crazy
but yes all is meaninglessness
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  #4  
Old 10-21-2007, 08:27 PM
Bobbo Bobbo is offline
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Join Date: Apr 2004
Location: USA
Posts: 2,881
Quote:
Originally Posted by nightdreamer
not trying to drive you crazy
Achievement without purpose.

Quote:
Originally Posted by nightdreamer
but yes all is meaninglessness
But what is the meaning of meaninglessness?
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