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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Halting Problem: What Constitutes Pathological Input
Date: Mon, 5 May 2025 23:55:48 -0500
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On 5/5/2025 3:53 PM, Richard Heathfield wrote:
> On 05/05/2025 20:38, olcott wrote:
>> On 5/5/2025 2:23 PM, Richard Heathfield wrote:
>>> On 05/05/2025 20:20, olcott wrote:
>>>> Is "halts" the correct answer for H to return?  NO
>>>> Is "does not halt" the correct answer for H to return?  NO
>>>> Both Boolean return values are the wrong answer
>>>
>>> Or to put it another way, the answer is undecidable, QED.
>>>
>>> See? You got there in the end.
>>>
>>
>> Is this sentence true or false: "What time is it?"
> 
> 20:45GMT, give or take.
> 
>> is also "undecidable" because it is not a proposition
>> having a truth value.
> 
> No, it's computable and therefore decidable. Your computer is perfectly 
> capable of displaying its interpretation of the time.
> 
>> Is this sentence true or false: "This sentence is untrue."
>> is also "undecidable" because it is not a semantically sound
>> proposition having a truth value.
> 
> But we know that it halts at the full stop.
> 
>> Can Carol correctly answer “no” to this (yes/no) question?
> 
> You have, I see, learned that not all yes/no questions are decidable. 
> Well done! You're coming along nicely.
> 
>> Both Yes and No are the wrong answer proving that
>> the question is incorrect when the context of who
>> is asked is understood to be a linguistically required
>> aspect of the full meaning of the question.
> 
> The question is grammatically and syntactically unremarkable. I see no 
> grounds for claiming that it's 'incorrect'. It's just undecidable.
> 
> You appear to be trying to overturn the Halting Problem by claiming that 
> Turing somehow cheated. You're entitled to hold that opinion, but it's 
> not one that will gain any traction with peer reviewers when you try to 
> publish.
> 

*EVERYONE IGNORES THIS*
It is very simple the mapping from inputs to outputs
must have a well defined sequence of steps.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer