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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Turing Machine computable functions apply finite string
 transformations to inputs VERIFIED FACT
Date: Tue, 29 Apr 2025 16:44:20 -0500
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On 4/29/2025 3:23 PM, Richard Heathfield wrote:
> On 29/04/2025 20:57, olcott wrote:
>> On 4/29/2025 10:33 AM, Fred. Zwarts wrote:
> 
> <snip>
> 
>>> makes it impossible for H to see the behaviour of P(D).
>>> The behaviour of P(D) does not change, but H does not see it.
>>
>> H MUST REPORT ON THE BEHAVIOR THAT IT DOES SEE
> 
> H has the whole P tape and the whole D tape at its disposal. There is 
> nothing it can't inspect.
> 

int DD()
{
   int Halt_Status = HHH(DD);
   if (Halt_Status)
     HERE: goto HERE;
   return Halt_Status;
}

When P has a pathological relationship
to H, the input to H(P,D) DOES NOT HALT.

> Not being able to see how P behaves in simulation is no excuse for 
> getting the answer wrong. 

THEN...
I am thinking of the sum of two integers
not telling you what these integers are
is no excuse for you not providing their correct sum.

> If because of limitations in H it fails to 
> spot behaviour that would have changed its report on P(D), that just 
> means that H is broken.
> 
> But don't bother trying to fix it. Turing has already proved that you 
> can't.
> 

You are simply not bothering to pay complete attention.

-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer