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From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic
Subject: Re: This makes all Analytic(Olcott) truth computable
Date: Mon, 19 Aug 2024 08:07:11 -0500
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On 8/19/2024 3:36 AM, Mikko wrote:
> On 2024-08-18 11:47:36 +0000, olcott said:
> 
>> On 8/18/2024 5:32 AM, Mikko wrote:
>>> On 2024-08-17 14:45:45 +0000, olcott said:
>>>
>>>> On 8/17/2024 9:40 AM, Richard Damon wrote:>>>
>>>>> No, you said that "ALL THEY DID" was that, and that is just a LIE.
>>>>>
>>>>> They developed a full formal system.
>>>>>
>>>>
>>>> They did nothing besides change the definition of
>>>> a set and the result of this was a new formal system.
>>>
>>> Yes they did. They did show that the new system is similar enough to
>>> the old systems to be called "set theory" and sufficiently useful.
>>>
>>
>> They redefined the notion of a set in set theory and that
>> by itself got rid of Russell's Paradox. Mostly this disallows
>> a set to be a member of itself.
> 
> The new notion is restricted to their new system. The general informal
> notion of "set" is unaffected. Some sets, e.q. Quine's atom that
> contains itself and nothing else is not a set in Zermelo's theory
> but is an example of a set according to the general notion.
> 
>> I redefine the notion of formal system in math and logic
>> and this by itself gets rids of undecidability. Mostly this
>> rejects self-contradictory expressions.
> 
> Math and logic are not formal systems that could be replaced with
> other formal systems. The notion of formal system cannot be redefined.
> You can construct a new formal system where formal system is formally
> defined but that definition has no consequences outside that syatem.
> 

I am doing the same sort of thing that ZFC did to conquer
RP and my end result is that undecidability ceases to exist.

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