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From: dbush <dbush.mobile@gmail.com>
Newsgroups: sci.logic
Subject: Re: Mathematical incompleteness has always been a misconception ---
 Ultimate Foundation of Truth
Date: Sun, 2 Mar 2025 13:22:00 -0500
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On 3/2/2025 1:10 PM, olcott wrote:
> On 3/2/2025 11:19 AM, dbush wrote:
>> On 3/2/2025 12:14 PM, olcott wrote:
>>> On 3/2/2025 11:11 AM, dbush wrote:
>>>> On 3/2/2025 12:08 PM, olcott wrote:
>>>>> On 3/2/2025 11:00 AM, dbush wrote:
>>>>>> On 3/2/2025 11:53 AM, olcott wrote:
>>>>>>> On 3/2/2025 10:28 AM, dbush wrote:>>> So how does changing the 
>>>>>>> definition of truth prevent systems from
>>>>>>>> existing that contain true statements that have *only* an 
>>>>>>>> infinite connection to their truthmaker?
>>>>>>>
>>>>>>> *This <is> how actual truth has always worked*
>>>>>>>
>>>>>>> If expression X has a connection to a truth-maker then
>>>>>>> X is true otherwise X is untrue, yet possibly not false.
>>>>>>> It does not matter what kind of connection this is.
>>>>>>>
>>>>>>>
>>>>>>
>>>>>> You didn't answer the question.
>>>>>>
>>>>>
>>>>> Sure I did
>>>>>  >> It does not matter what kind of connection this is.
>>>>>
>>>>> It does not matter whether the connection is infinite
>>>>> or not so STFU about it.
>>>>>
>>>>>
>>>>>
>>>>
>>>> Dishonest dodge.
>>>>
>>>> You stated that your definition of truth prevents systems from 
>>>> existing that contain true statements that have *only* an infinite 
>>>> connection to their truthmaker.
>>>>
>>>> So how does that happen?
>>>
>>> I never said anything like that.
>>>
>>
>> Yes you did:
>>
>> On 3/1/2025 11:46 PM, olcott wrote:
>>  > Incompleteness cannot possibly exist when true means
>>  > has a truth-maker and untrue means has no truth-maker
>>  > and false mean ~X has a truth-maker.
> 
> Your paraphrase of that was terribly incorrect.
> Has a truth-maker has always been the only correct
> way to determine True(x) superseding and replacing
> the ill-formed notion of provability.
> 

I merely substituted the term "incompleteness" with it's official 
definition.  That you don't understand that definition is not a rebuttal.

That you attempted to change the idea of "provability" doesn't change 
the fact that "incompleteness" still refers to the original idea of 
"provability".

A system is incomplete if it contains one or more true statements that 
contain *only* an infinite connection to their truthmakers.

That doesn't change despite your idea of "truth", so incompleteness 
still exists.