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From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic
Subject: Re: This is how I overturn the Tarski Undefinability theorem
Date: Sun, 8 Sep 2024 09:38:51 -0500
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On 9/8/2024 9:31 AM, Mikko wrote:
> On 2024-09-08 12:44:56 +0000, olcott said:
> 
>> On 9/8/2024 3:45 AM, Mikko wrote:
>>> On 2024-09-07 13:06:52 +0000, olcott said:
>>>
>>>> On 9/7/2024 3:35 AM, Mikko wrote:
>>>>> On 2024-09-06 12:22:04 +0000, olcott said:
>>>>>>
>>>>>> The fundamental architectural overview of all Prolog implementations
>>>>>> is the same True(x) means X is derived by applying Rules (AKA 
>>>>>> truth preserving operations) to Facts.
>>>>>
>>>>> The details are permitted to differ.
>>>>>
>>>>
>>>> Instead of using any single order of logic we simultaneously
>>>> represent an arbitrary number of orders of logic in a type
>>>> hierarchy knowledge ontology.
>>>
>>> The type system of Prolog is different.
>>>
>>
>> Yes I know that. The architecture of Prolog is used
>> the implementation details are scrapped.
>>
>> ?- LP = not(true(LP)).
>> LP = not(true(LP)).
>> ?- unify_with_occurs_check(LP, not(true(LP))).
>> false. // LP is rejected as cyclic
>>
>> Even with Prolog just the way it is it is not as stupid
>> as Tarski's system that doesn't know to reject the Liar
>> Paradox.
>>
>> https://liarparadox.org/Tarski_247_248.pdf
> 
> Most Prolog implementations don't reject L = not(ture(LP)).
> 

?- unify_with_occurs_check(LP, not(true(LP))).
Prolog just gets stuck in an infinite loop
when a cyclic term is unified.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer