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Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ]

Subject Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ]
Newsgroups comp.theory
References (14 earlier) <0f-dnTKZ0rhsIOP_nZ2dnUU7_81g4p2d@giganews.com> <P_zfK.777$JXmb.496@fx03.iad> <FJWdnaiuhYG4T-P_nZ2dnUU7_81QAAAA@giganews.com> <XBAfK.1465$j0D5.353@fx09.iad> <FNudnQpo7sTlS-P_nZ2dnUU7_8xh4p2d@giganews.com>
From Richard Damon <Richard@Damon-Family.org>
Message-ID <PwBfK.8352$Yfl6.6562@fx41.iad> (permalink)
Organization Forte - www.forteinc.com
Date 2022-05-13 19:07 -0400

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On 5/13/22 6:06 PM, olcott wrote:
> On 5/13/2022 5:04 PM, Richard Damon wrote:
>> On 5/13/22 5:48 PM, olcott wrote:
>>> On 5/13/2022 4:22 PM, Richard Damon wrote:
>>>> On 5/13/22 4:22 PM, olcott wrote:
>>>>> On 5/13/2022 3:11 PM, Richard Damon wrote:
>>>>>> On 5/13/22 3:24 PM, olcott wrote:
>>>>>>> On 5/13/2022 2:06 PM, Ben wrote:
>>>>>>>> olcott <NoOne@NoWhere.com> writes:
>>>>>>>>
>>>>>>>>> On 5/13/2022 6:05 AM, Ben wrote:
>>>>>>>>>> olcott <NoOne@NoWhere.com> writes:
>>>>>>>>>>
>>>>>>>>>>> All of my studies of Gödel 1931, Tarski 1936, the HP and the 
>>>>>>>>>>> Liar
>>>>>>>>>>> Paradox have been concrete proxies for my study of the 
>>>>>>>>>>> philosophical
>>>>>>>>>>> foundation of analytical truth.
>>>>>>>>>>
>>>>>>>>>> Why have you not had anything published?  Everyone here knows 
>>>>>>>>>> why, but
>>>>>>>>>> what's your opinion?
>>>>>>>>>
>>>>>>>>> I have to conclusively prove my point concretely such the every 
>>>>>>>>> single
>>>>>>>>> detail of my reasoning can be verified as factually correct before
>>>>>>>>> people will understand that I have corrected errors in some of the
>>>>>>>>> aspects of the basic foundations of logic.
>>>>>>>>
>>>>>>>> Hmm.. but it's "dead obvious", isn't it?
>>>>>>>>
>>>>>>>
>>>>>>> It has been dead obvious that H(P,P)==0 is the correct halt 
>>>>>>> status for the input to H(P,P) on the basis of the actual 
>>>>>>> behavior that this input actually specifies.
>>>>>>>
>>>>>>> This has been dead obvious on this basis for at least six months, 
>>>>>>> yet people very persistently insisted on simply ignoring the 
>>>>>>> easily verifiable facts for this whole six month period.
>>>>>>>
>>>>>>
>>>>>> Nope, since BY THE PROBLEM STATEMENT of the Halting Problem, the 
>>>>>> "actual behavior" of the input to H applied to <H^> <H^> is 
>>>>>> DEFINED to be the behavior of H^ applied to <H^>.
>>>>>>
>>>>> The ultimate measure superseding and overruling every other measure 
>>>>> is the actual behavior of the actual input as demonstrated by a 
>>>>> correct simulation of this input by the simulating halt decider.
>>>>>
>>>>
>>>> THen H is PROVEN to not be a Halt Decider, because the Halting 
>>>> Mapping is defined differently.
>>>>
>>>> If the definition of H doesn't match the requirements of the 
>>>> problem, then it just fails to be an aswer to the problem.
>>>>
>>>
>>> Tarski makes a similar mistake when he concludes that True() is not a 
>>> definable predicate entirely on the basis that he cannot prove that 
>>> the liar paradox is true. It never occurred to him that the liar 
>>> paradox is simply untrue.
>>>
>>> That the definition of the halting problem criteria (in some rare 
>>> cases) directly contradicts the definition of a computer science 
>>> decider that requires all deciders to compute the mapping from their 
>>> inputs conclusively proves that the definition of the halting problem 
>>> criteria is incorrect in these (previously undiscovered) rare cases.
>>>
>>
>> You are just proving that you don't know what you are talking about. 
>> Definitions can not be 'incorrect', as they are DEFINITIONS. 
> 
> That is a naive thing to say.
> This means that a pair of contradictory defininitions within the same 
> system would both be correct. This is simply not the way that truth 
> actually works.
> 
> 

Right, they both ARE correct, and make the system inconsistent. That is 
the meaning of the word DEFINITION. (and an inconsistent systems tend to 
make a hash about 'truth' in that system, as you tend to be able to 
prove and disprove a lot in such a system).

Now, a given definition might make a system not model well the actual 
system that it is supposed to model. But that doesn't make the 
definition incorrect in the system, but makes the system a bad model.

We might talk about that definition as being 'incorrect', but 
technically, it IS correct in that system and makes the system a bad model.

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Thread

Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 13:07 -0500
  Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-11 20:11 +0100
    Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 19:23 -0500
      Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 21:02 -0400
      Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 18:31 +0100
        Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 12:43 -0500
      Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 18:43 +0100
        Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 12:45 -0500
          Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 18:47 +0100
            Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 12:51 -0500
              Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 19:00 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 13:06 -0500
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 19:13 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 21:12 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 15:18 -0500
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 23:58 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 18:28 -0500
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-13 01:40 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 20:32 -0500
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 21:48 -0400
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-13 13:38 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 20:56 -0400
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 19:09 -0400
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 18:50 -0400
              Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 18:46 -0400
          Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 18:45 -0400
  Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 19:41 -0400
  Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 01:17 +0100
    Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 19:29 -0500
      Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 20:52 -0400
      Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 02:10 +0100
        Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 21:29 -0500
          Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 23:02 -0400
          Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 23:54 +0100
            Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 18:21 -0500
              Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 00:24 +0100
                Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 18:42 -0500
              Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-13 01:35 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-12 20:25 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-12 21:41 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 12:05 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 12:01 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 20:06 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 14:24 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 16:11 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 15:22 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-13 13:26 -0700
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 15:38 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 21:44 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] wij <wyniijj2@gmail.com> - 2022-05-13 13:27 -0700
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 17:22 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 16:48 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 18:04 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 17:06 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 19:07 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:09 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 19:20 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:26 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 20:04 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:20 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 20:41 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] André G. Isaak <agisaak@gm.invalid> - 2022-05-13 19:03 -0600
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 21:21 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 22:37 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 23:46 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 17:57 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 19:09 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:18 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 20:09 -0400
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:03 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:11 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:18 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:22 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:28 +0100
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-14 11:45 +0300
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-14 04:28 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-14 15:55 +0300
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-14 08:53 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-15 12:05 +0300
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-13 16:11 +0300
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 11:15 -0500
                Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-14 11:26 +0300
              Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 21:03 -0400
  Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mikko <mikko.levanto@iki.fi> - 2022-05-13 16:02 +0300
  Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) wij <wyniijj2@gmail.com> - 2022-05-13 12:21 -0700

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