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From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic
Subject: Re: Mathematical incompleteness has always been a misconception ---
 Ultimate Foundation of Truth
Date: Tue, 25 Feb 2025 12:41:58 -0600
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On 2/25/2025 12:18 PM, joes wrote:
> Am Mon, 24 Feb 2025 17:11:58 -0600 schrieb olcott:
>> On 2/24/2025 6:27 AM, Richard Damon wrote:
>>> On 2/23/25 11:39 PM, olcott wrote:
>>>> On 2/23/2025 8:50 PM, Richard Damon wrote:
>>>>> On 2/23/25 1:08 PM, olcott wrote:
>>>>>> On 2/22/2025 9:56 PM, Richard Damon wrote:
>>>>>>> On 2/22/25 1:42 PM, olcott wrote:
>>>>>>>> On 2/22/2025 3:25 AM, Mikko wrote:
>>>>>>>>> On 2025-02-22 04:44:35 +0000, olcott said:
>>>>>>>>>> On 2/21/2025 7:05 PM, Richard Damon wrote:
>>>>>>>>>>> On 2/21/25 6:19 PM, olcott wrote:
>>>>>>>>>>>> On 2/20/2025 2:54 AM, Mikko wrote:
>>>>>>>>>>>>> On 2025-02-18 03:59:08 +0000, olcott said:
> 
>>>>>>>> We are answering the question:
>>>>>>>> What are the relationships between arbitrary finite strings such
>>>>>>>> that the semantic property of True(L, x)
>>>>>>>> (where L and x are finite strings) can always be correctly
>>>>>>>> determined for every finite string having a truth value that is
>>>>>>>> entirely verified by its relation to other finite strings.
>>>>>>>>
>>>>>>> And, if the logic system can support the properties of the Natural
>>>>>>> Number system, and a definition of the predicate True, it can be
>>>>>>> shown that you can create the equivalent of
>>>>>>>
>>>>>>> Let P be defined as Not( True(L, P))
>>>>>>> in that system, and thus P is a semantically valid,
>>>>>>
>>>>>> Not at all. That is the same as saying you know that it is true that
>>>>>> all squares are always round.
>>>>> Really, then where is the error in his derivation?
>>>> You clearly have no idea what "semantically sound" means.
>>>> The only correct rebuttal to this is you proving that you do know this
>>>> by providing the details of exactly what "semantically sound" means.
>>> Sure I do.
>>> A Systems is semantically sound if every statement that can be proven
>>> is actually true by the systems semantics,
>> That is very good.
> There may yet be true statements that are not provable.
> 
>>> in other words, the system doesn't allow the proving of a false
>>> statement.
>> That is not too bad yet ignores that some expressions might not have any
>> truth value.
> No such thing.
> 

That is stupidly wrong.

// semantically unsound because of type mismatch error
What time is it (yes or no)?


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