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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: Mathematical incompleteness has always been a misconception ---
 Ultimate Foundation of Truth
Date: Sat, 1 Mar 2025 16:58:17 -0500
Organization: i2pn2 (i2pn.org)
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On 3/1/25 2:58 PM, olcott wrote:
> On 3/1/2025 2:45 AM, Mikko wrote:
>> On 2025-02-28 22:04:31 +0000, olcott said:
>>
>>> On 2/28/2025 4:04 AM, Mikko wrote:
>>>> On 2025-02-26 01:33:48 +0000, olcott said:
>>>>
>>>>> On 2/25/2025 5:58 PM, Richard Damon wrote:
>>>>>> On 2/25/25 1:40 PM, olcott wrote:
>>>>>>> On 2/25/2025 12:15 PM, joes wrote:
>>>>>>>> Am Mon, 24 Feb 2025 20:02:49 -0600 schrieb olcott:
>>>>>>>>> On 2/24/2025 6:12 PM, Richard Damon wrote:
>>>>>>>>>> On 2/24/25 6:11 PM, olcott wrote:
>>>>>>>>>>> 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:
>>>>>>>>
>>>>>>>>>>>> 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.
>>>>>>>>>>>
>>>>>>>>>>>> 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.
>>>>>>>>>> Which has nothing to do with "soundness".
>>>>>>>>> When any system assumes that every expression is true or false 
>>>>>>>>> and is
>>>>>>>>> capable of encoding expressions that are neither IT IS STUPIDLY 
>>>>>>>>> WRONG.
>>>>>>>
>>>>>>>> In honour of Gödel this is usually called "incomplete".
>>>>>>>>
>>>>>>> Where "incomplete" has always been an idiom for stupid wrong.
>>>>>>>
>>>>>>
>>>>>> No, only in your faulty logic.
>>>>>>
>>>>>> Incomplete means that there are some truths that can't be proven 
>>>>>> in the system.
>>>>>>
>>>>>
>>>>> That comes from stupidly failing to require {true in the system}
>>>>> to require {proven in the system}. Fix this one stupid mistake
>>>>> and all of incompleteness goes away.
>>>>
>>>> No, that merely means that "true in the system" is incomplete in some
>>>> systems (e.g., natural numbers). There are sentences that are true in
>>>> practical applications of the system but not in the system itself.
>>>> That is not a defect as it does not prevent useful practical 
>>>> aplications.
>>>
>>> The bottom line here is that expressions that do not have
>>> a truth-maker are always untrue. Logic screws this up by
>>> overriding the common meaning of terms with incompatible
>>> meanings. Provable(common) means has a truth-maker.
>>
>> Logic doesn't care about truths and truth makers except in the (usually
>> uninteresting) special cases where truth makers are found in the logic
>> itself.
>>
> 
> Incompleteness(math) and Undecidability(logic) are
> artifacts of defining the term provable(math)
> in a way that is inconsistent with provable(common)
> {shown to be definitely true by whatever means}.
> 

Nopw, because shown(common) requires a finite sequence to show to 
someone, as people can not see all of an infinite sequence

Your problem is you just don't understand that you don't understand 
about infinity, because you are just to stupid to see your stupidity,