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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Claude.ai provides reasoning why I may have defeated the
 conventional HP proof
Date: Tue, 15 Jul 2025 20:33:28 -0500
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On 7/15/2025 8:13 PM, wij wrote:
> On Tue, 2025-07-15 at 20:02 -0500, olcott wrote:
>> On 7/15/2025 7:47 PM, André G. Isaak wrote:
>>> On 2025-07-15 18:39, olcott wrote:
>>>> On 7/15/2025 7:34 PM, André G. Isaak wrote:
>>>>> On 2025-07-15 17:53, olcott wrote:
>>>>>> On 7/15/2025 6:45 PM, André G. Isaak wrote:
>>>>>>> On 2025-07-15 17:35, olcott wrote:
>>>>>
>>>>>>>> You still make the same mistake with the implication operator.
>>>>>>>> That has always been the wrong operator for PROVES.
>>>>>>>
>>>>>>> You're being an idiot. The principle of explosion can be stated
>>>>>>> either in terms of implication or proof. I prefer implication. I'm
>>>>>>> not mistaking one symbol for another. I'm saying exactly what I
>>>>>>> intend to say.
>>>>>>>
>>>>>>> André
>>>>>>>
>>>>>>
>>>>>> Yet implication is not even truth preserving.
>>>>>>
>>>>>
>>>>> You seem to be using some private definition of 'truth preserving'.
>>>>> Did you get that one from claude.ai as well?
>>>>>
>>>>> André
>>>>>
>>>>
>>>> the characteristic of an argument where,
>>>> if the premises are true, the conclusion
>>>> must also be true.
>>>>
>>>> When the antecedent is false the consequent
>>>> can be true with the "→" operator.
>>>
>>> And how would that make it non-truth preserving?
>>>
>>
>> If you start with falsity end end up with truth then
>> the operation was not truth preserving.
>>
>> If there are tens of thousands of textbooks that
>> disagree then they are necessarily incorrect when
>> we go by the compositional meaning of the terms
>> of "truth" and "preserving". To make a term of the
>> art meaning that disagrees with the compositional
>> meaning has always been dishonest.
>>
> 
> This is a typical "learn-by-rote".
> The Halting Problem is clear... there is always a counter-case an
> assumed H cannot solve.
> 

The classic textbook example is NOT one of those cases.

> This is FACT, not influenced by ANY theory/rule: "1+1=2", Logic,..., have no
> effect on this fact.
> 
>>> You're very confused. Since you seem to trust/overrely on wikipedia, you
>>> can check against the following:
>>>
>>> https://en.wikipedia.org/wiki/Truth_function#Algebraic_properties
>>>
>>> André
>>>
>>>
>>
> 


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