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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic,comp.theory
Subject: Re: Minimal Logics in the 2020's: A Meteoric Rise --- Olcott caught
 in inescapable contradiction
Date: Mon, 8 Jul 2024 22:11:19 -0400
Organization: i2pn2 (i2pn.org)
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On 7/8/24 10:04 PM, olcott wrote:
> On 7/8/2024 7:37 PM, Richard Damon wrote:
>> On 7/8/24 8:28 PM, olcott wrote:
>>> On 7/8/2024 7:07 PM, Richard Damon wrote:
>>>> On 7/8/24 8:00 PM, olcott wrote:
>>>>> On 7/7/2024 10:09 PM, olcott wrote:
>>>>>> On 7/7/2024 10:02 PM, olcott wrote:
>>>>>>>
>>>>>>> Formal logic is a subset of this.
>>>>>>> Not-a-logic-sentence(PA,g) ≡ (~True(PA,g) ∧ ~True(PA,~g))
>>>>>>> There are no truth preserving operations in PA to g or to ~g
>>>>>>>
>>>>>>
>>>>>> https://liarparadox.org/Tarski_275_276.pdf
>>>>>>
>>>>>> Within my analytical framework this Tarski sentence is merely
>>>>>> self-contradictory
>>>>>>
>>>>>> (3) x ∉ Provable if and only if x ∈ True. // (1) and (2) combined
>>>>>>
>>>>>> There are no truth preserving operations in Tarski's
>>>>>> theory to x if and only if There are truth preserving
>>>>>> operations in Tarski's theory to x
>>>>>>
>>>>>
>>>>> There cannot possibly be an infinite proof that proves
>>>>> that there is no finite proof of Tarski x in Tarski's theory
>>>>
>>>> Who says there needs to be a infinite proof, since there is no such 
>>>> thing.
>>>>
>>>> As I said, one example of such an x is Godel's G.
>>>>
>>>>>
>>>>> The infinite proof of the Goldbach conjecture
>>>>> (if it is true) continues to find more true
>>>>> cases than it had before, thus makes progress
>>>>> towards its never ending goal (if its true).
>>>>
>>>> or, it continue to show that there is no counter examples.
>>>>
>>>> "Progress" on an infinite path isn't really measurable.
>>>>
>>>>>
>>>>> The cycles in the following two cases never make any progress
>>>>> towards any goal they are merely stuck in infinite loops.
>>>>
>>>> Which just means you are on the wrong path. One wrong path doesn't 
>>>> me that there is no path.
>>>>
>>>>>
>>>>> The Prolog unify_with_occurs_check test means that
>>>>> LP is stuck in an infinite loop that makes no progress
>>>>> towards resolution. I invented Minimal Type Theory to
>>>>> see this, then I noticed that Prolog does the same thing.
>>>>
>>>> Which is irrelevent, since Prolog can't handle the basics of the 
>>>> field that Traski assumes.
>>>>
>>>>>
>>>>> ?- LP = not(true(LP)).
>>>>> LP = not(true(LP)).
>>>>> ?- unify_with_occurs_check(LP, not(true(LP))).
>>>>> false.
>>>>>
>>>>> LP := ~(L ⊢ LP)
>>>>> 00 ~ 01
>>>>> 01 ⊢ 01, 00
>>>>> 02 L
>>>>>
>>>>> The cycle in the direct graph of LP is
>>>>> an infinite loop that make no progress
>>>>> towards the goal of evaluating LP as
>>>>> true or false.
>>>>>
>>>>>
>>>>
>>>> So?
>>>>
>>>> Failure to prove by example doesn't show something isn't true.
>>>>
>>>> You are just proving you are stupid and don't know what you are 
>>>> talking about.
>>>
>>> Every expression of language that cannot be proven
>>> or refuted by any finite or infinite sequence of
>>> truth preserving operations connecting it to its
>>> meaning specified as a finite expression of language
>>> is rejected.
>>>
>>
>> So?
>>
>> Tarski's x like Godel's G are know to be true by an infinite sequence 
>> of truth preserving operations.
>>
> 
> Liar?
> 

What lie?

I guess you have confused yourself and lost your train of thought (which 
I think is just N gauge)