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From: "Fred. Zwarts" <F.Zwarts@HetNet.nl>
Newsgroups: comp.theory
Subject: Re: Incorrect requirements --- Computing the mapping from the input
 to HHH(DD)
Date: Tue, 13 May 2025 12:48:25 +0200
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Op 11.mei.2025 om 23:15 schreef olcott:
> On 5/11/2025 4:02 PM, Richard Damon wrote:
>> On 5/11/25 12:44 PM, olcott wrote:
>>> On 5/11/2025 6:13 AM, joes wrote:
>>>> Am Sat, 10 May 2025 15:42:13 -0500 schrieb olcott:
>>>>> On 5/10/2025 3:22 PM, Alan Mackenzie wrote:
>>>>
>>>>>> OK, then, give the page and line numbers from Turing's 1936 paper 
>>>>>> where
>>>>>> this alleged mistake was made.  I would be surprised indeed if you'd
>>>>>> even looked at Turing's paper, far less understood it.  Yet you're
>>>>>> ready to denigrate his work.
>>>>>> Perhaps it is time for you to withdraw these uncalled for 
>>>>>> insinuations.
>>>>>>
>>>>> It is the whole gist of the entire idea of the halting problem proof
>>>>> that is wrongheaded.
>>>>> (1) It is anchored in the false assumption that an input to a
>>>>> termination analyzer can actually do this opposite of whatever value
>>>>> that this analyzer returns. No one ever notices that this "do the
>>>>> opposite" code is unreachable.
>>>
>>>> The simulated DDD doesn't matter. HHH returns to DDD, and DDD then does
>>>> the opposite.
>>>>
>>>
>>> HHH is only allowed to report on the behavior that
>>> its actual input actually specifies.
>>
>>
>> Which is DEFINED to be the bahavior of the program that the input 
>> represents when run.
> 
> When you define 5 == 6 you are simply wrong.
> That definition contradicts other axioms.
> 

Saying that 5 == 6 is the same as saying that the  HHH that aborts is 
exactly the same as the HHH that does not abort. (Both have only a tiny 
difference.)