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From: Python <python@invalid.org>
Newsgroups: sci.logic
Subject: Re: This makes all Analytic(Olcott) truth computable
Date: Mon, 19 Aug 2024 15:08:07 +0200
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Le 19/08/2024 à 15:07, olcott a écrit :
> 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.
> 

*lol* Oh dear..