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tech / sci.math / NEW-MATH.com GODEL DISPROOF

SubjectAuthor
* NEW-MATH.com GODEL DISPROOFGraham Cooper
+- Re: NEW-MATH.com GODEL DISPROOFGraham Cooper
`- Re: NEW-MATH.com GODEL DISPROOFTechnology Fan

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NEW-MATH.com GODEL DISPROOF

<e21a7990-9106-42bc-a652-f0d72c3df08fn@googlegroups.com>

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https://www.novabbs.com/tech/article-flat.php?id=127987&group=sci.math#127987

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Subject: NEW-MATH.com GODEL DISPROOF
From: grahamco...@gmail.com (Graham Cooper)
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 by: Graham Cooper - Wed, 22 Feb 2023 05:43 UTC

EXTENDED GODELS PROOF

(1) g = NOT(EXIST(p) PROOF(p g))
(2) ASSUME g<->FALSE
(3) EXIST(p) PROOF(p g) .....[2-->1]
(4) g<->TRUE .....[BY 3]
(5) CONTRADICTION [2]<-/->[4]
(6) g<->TRUE .....[!2]
(7) NOT(EXIST(p) PROOF(p g)) .....[6-->1]
(8) g .....[BY 6]
(9) EXIST(P) PROOF(G) .....[BY 8]
(10) CONTRADICTION .....[7]<-/->[9]

www.NEW-MATH.com

Re: NEW-MATH.com GODEL DISPROOF

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Subject: Re: NEW-MATH.com GODEL DISPROOF
From: grahamco...@gmail.com (Graham Cooper)
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 by: Graham Cooper - Wed, 22 Feb 2023 06:04 UTC

---------------------------------------------------------------------

EXTENDED GODELS PROOF

(1) g = NOT(EXIST(p) PROOF(p g))

(2) ASSUME g<->FALSE
(3) EXIST(p) PROOF(p g) .....[2-->1]
(4) g<->TRUE .....[BY 3]
(5) CONTRADICTION [2]<-/->[4]

(6) ASSUME g<->TRUE
(7) EXIST(P) PROOF(G) .....[BY 6]
(8) NOT(EXIST(p) PROOF(p g)) .....[6-->1]
(9) CONTRADICTION .....[7]<-/->[8]

g IS NEITHER TRUE NOR FALSE
g HAS BOTH TRUTH VALUES
g IS SELF-CONTRADICTORY

(10) g<->FALSE

---------------------------------------------------------------------

Re: NEW-MATH.com GODEL DISPROOF

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Subject: Re: NEW-MATH.com GODEL DISPROOF
From: techfan5...@hotmail.com (Technology Fan)
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 by: Technology Fan - Wed, 22 Feb 2023 23:27 UTC

Who is that man ?

I have heared about G ö d e l.

On Wednesday, February 22, 2023 at 7:43:43 AM UTC+2, Graham Cooper wrote:
> EXTENDED GODELS PROOF
>
> (1) g = NOT(EXIST(p) PROOF(p g))
> (2) ASSUME g<->FALSE
> (3) EXIST(p) PROOF(p g) .....[2-->1]
> (4) g<->TRUE .....[BY 3]
> (5) CONTRADICTION [2]<-/->[4]
> (6) g<->TRUE .....[!2]
> (7) NOT(EXIST(p) PROOF(p g)) .....[6-->1]
> (8) g .....[BY 6]
> (9) EXIST(P) PROOF(G) .....[BY 8]
> (10) CONTRADICTION .....[7]<-/->[9]
>
> www.NEW-MATH.com

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