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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: This makes all Analytic(Olcott) truth computable --- truth-bearer
Date: Fri, 30 Aug 2024 16:36:02 +0300
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On 2024-08-29 13:36:00 +0000, olcott said:

> On 8/29/2024 3:12 AM, Mikko wrote:
>> On 2024-08-28 12:14:47 +0000, olcott said:
>> 
>>> On 8/28/2024 2:45 AM, Mikko wrote:
>>>> On 2024-08-24 03:26:39 +0000, olcott said:
>>>> 
>>>>> On 8/23/2024 3:34 AM, Mikko wrote:
>>>>>> On 2024-08-22 13:23:39 +0000, olcott said:
>>>>>> 
>>>>>>> On 8/22/2024 7:06 AM, Mikko wrote:
>>>>>>>> On 2024-08-21 12:47:37 +0000, olcott said:
>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> Formal systems kind of sort of has some vague idea of what True
>>>>>>>>> means. Tarski "proved" that there is no True(L,x) that can be
>>>>>>>>> consistently defined.
>>>>>>>>> https://en.wikipedia.org/wiki/ Tarski%27s_undefinability_theorem#General_form
>>>>>>>>> 
>>>>>>>>> *The defined predicate True(L,x) fixed that*
>>>>>>>>> Unless expression x has a connection (through a sequence
>>>>>>>>> of true preserving operations) in system F to its semantic
>>>>>>>>> meanings expressed in language L of F then x is simply
>>>>>>>>> untrue in F.
>>>>>>>>> 
>>>>>>>>> Whenever there is no sequence of truth preserving from
>>>>>>>>> x or ~x to its meaning in L of F then x has no truth-maker
>>>>>>>>> in F and x not a truth-bearer in F. We never get to x is
>>>>>>>>> undecidable in F.
>>>>>>>> 
>>>>>>>> Tarski proved that True is undefineable in certain formal systems.
>>>>>>>> Your definition is not expressible in F, at least not as a definition.
>>>>>>>> 
>>>>>>> 
>>>>>>> Like ZFC redefined the foundation of all sets I redefine
>>>>>>> the foundation of all formal systems.
>>>>>> 
>>>>>> You cannot redefine the foundation of all formal systems. Every formal
>>>>>> system has the foundation it has and that cannot be changed. Formal
>>>>>> systems are eternal and immutable.
>>>>>> 
>>>>> 
>>>>> Then According to your reasoning ZFC is wrong because
>>>>> it is not allowed to redefine the foundation of set
>>>>> theory.
>>>> 
>>>> It did not redefine anything. It is just another theory. It is called
>>>> a set theory because its terms have many similarities to Cnator's sets.
>>> 
>>> It <is> the correct set theory. Naive set theory
>>> is tossed out on its ass for being WRONG.
>> 
>> There is no basis to say that ZF is more or less correct than ZFC.
> 
> A set containing itself has always been incoherent in its
> isomorphism to the concrete instance of a can of soup so
> totally containing itself that it has no outside surface.
> The above words are my own unique creation.

There is no need for an isomorphism between a set an a can of soup.
There is nothing inherently incoherent in Quine's atom. Some set
theories allow it, some don't. Cantor's theory does not say either
way.

-- 
Mikko