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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: How a True(X) predicate can be defined for the set of analytic
 knowledge
Date: Fri, 21 Mar 2025 20:50:25 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <cc75e1bdfa918eedc80a9230b0484acda284dc56@i2pn2.org>
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On 3/21/25 8:40 PM, olcott wrote:
> On 3/21/2025 6:49 PM, Richard Damon wrote:
>> On 3/21/25 8:43 AM, olcott wrote:
>>> On 3/21/2025 3:41 AM, Mikko wrote:
>>>> On 2025-03-20 14:57:16 +0000, olcott said:
>>>>
>>>>> On 3/20/2025 6:00 AM, Richard Damon wrote:
>>>>>> On 3/19/25 10:42 PM, olcott wrote:
>>>>>>> It is stipulated that analytic knowledge is limited to the
>>>>>>> set of knowledge that can be expressed using language or
>>>>>>> derived by applying truth preserving operations to elements
>>>>>>> of this set.
>>>>>>
>>>>>> Which just means that you have stipulated yourself out of all 
>>>>>> classical logic, since Truth is different than Knowledge. In a 
>>>>>> good logic system, Knowledge will be a subset of Truth, but you 
>>>>>> have defined that in your system, Truth is a subset of Knowledge, 
>>>>>> so you have it backwards.
>>>>>>
>>>>>
>>>>> True(X) always returns TRUE for every element in the set
>>>>> of general knowledge that can be expressed using language.
>>>>> It never gets confused by paradoxes.
>>>>
>>>> Not useful unless it returns TRUE for no X that contradicts anything
>>>> that can be inferred from the set of general knowledge.
>>>>
>>>
>>> I can't parse that.
>>>  > (a) Not useful unless
>>>  > (b) it returns TRUE for
>>>  > (c) no X that contradicts anything
>>>  > (d) that can be inferred from the set of general knowledge.
>>>  >
>>> Because my system begins with basic facts and actual facts
>>> can't contradict each other and no contradiction can be
>>> formed by applying only truth preserving operations to these
>>> basic facts there are no contradictions in the system.
>>>
>>>
>>
>> No, you system doesn't because you don't actually understand what you 
>> are trying to define.
>>
>> "Human Knowledge" is full of contradictions and incorrect statements.
>>
>> Adittedly, most of them can be resolved by properly putting the 
>> statements into context, but the problem is that for some statement, 
>> the context isn't precisely known or the statement is known to be an 
>> approximation of unknown accuracy, so doesn't actually specify a "fact".
> 
> It is self evidence that for every element of the set of human
> knowledge that can be expressed using language that undecidability
> cannot possibly exist.
> 
> 

SO, you admit you don't know what it means to prove something.

It is clearly not "self-evidently true", since I just listed a problem 
that it couldn't decide on.

Your problem is your system doesn't have a valid definition of "Truth" 
in the first place.

Sorry, you are just proving your stupidity.