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From: olcott
Newsgroups: comp.theory,sci.logic
Subject: Re: Claude.ai provides reasoning why I may have defeated the
conventional HP proof
Date: Thu, 10 Jul 2025 09:09:00 -0500
Organization: A noiseless patient Spider
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On 7/10/2025 4:02 AM, Mikko wrote:
> On 2025-07-09 12:31:59 +0000, olcott said:
>
>> On 7/9/2025 3:29 AM, Mikko wrote:
>>> On 2025-07-08 14:18:32 +0000, olcott said:
>>>
>>>> On 7/8/2025 2:41 AM, Mikko wrote:
>>>>> On 2025-07-07 13:57:28 +0000, olcott said:
>>>>>
>>>>>> On 7/7/2025 3:20 AM, Mikko wrote:
>>>>>>> On 2025-07-06 14:48:45 +0000, olcott said:
>>>>>>>
>>>>>>>> On 7/6/2025 3:30 AM, Mikko wrote:
>>>>>>>>> On 2025-07-05 15:18:46 +0000, olcott said:
>>>>>>>>>
>>>>>>>>>> On 7/5/2025 4:06 AM, Mikko wrote:
>>>>>>>>>>> On 2025-07-04 20:16:34 +0000, olcott said:
>>>>>>>>>>>
>>>>>>>>>>>> https://claude.ai/share/48aab578-aec3-44a5-8bb3-6851e0f8b02e
>>>>>>>>>>>
>>>>>>>>>>> Perhaps an artificial idiot can think better than you but it
>>>>>>>>>>> does
>>>>>>>>>>> not think better than most participants of these discussions.
>>>>>>>>>>
>>>>>>>>>> Yet you cannot point out any actual error.
>>>>>>>>>
>>>>>>>>> There is no error in your above quoted words.
>>>>>>>>>
>>>>>>>>>>> What is not provable is not analytic truth.
>>>>>>>>>
>>>>>>>>>> I totally agree. Not only must it be provable it must
>>>>>>>>>> be provable semantically not merely syntactically.
>>>>>>>>>
>>>>>>>>> In order to prove anything a proof must be syntactically correct.
>>>>>>>>> Then the conclusion is semantically true if the premises are.
>>>>>>>>
>>>>>>>> Not exactly. Some of logic is wrong.
>>>>>>>
>>>>>>> There is no example where ordinary logic derives a false
>>>>>>> conclusion from
>>>>>>> true premises. Other logics may contain mistakes so they should
>>>>>>> not be
>>>>>>> used unless proven valid.
>>>>>>
>>>>>> The one that I have in mind derives a true conclusion
>>>>>> from false premises.
>>>>>
>>>>> True conclusion from false premeises is fairly common. But that is not
>>>>> relevant.
>>>>
>>>> It proves that logic is fundamentally incorrect on this point.
>>>> Logic must be a sequence of truth preserving operations or it is wrong.
>>>
>>> Your straw man logic is incorrect. Whenever ordinary logic has been
>>> compared to reality it is found to be correct.
>
>> Logic belongs to analytical truth, reality belongs to
>> empirical truth. They are not the same.
>
> Nevertheless, ordinary logic is empirially valid.
>
Not at all. All of logic is a mental abstraction
with no physical existence.
>> It is a truism the the POE violates the requirement of
>> truth preserving operations. People that learn things by
>> rote do not notice this.
>
> The requirement of truth preserving operations only applies to proofs.
According to the POE:
(a) The Moon is made of green cheese and
(b) the Moon does not exist
proves that
(c) Donald Trump is the Christ.
> In that context the requirement can be further restricted. A small
> set of inference rules, even a singlet, is sufficient if you have s
> sufficiently rich set of axiom rules.
>
The POE has always been completely false.
--
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer