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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: This makes all Analytic(Olcott) truth computable
Date: Mon, 19 Aug 2024 10:59:36 +0300
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On 2024-08-18 12:12:48 +0000, olcott said:

> On 8/18/2024 5:14 AM, Mikko wrote:
>> On 2024-08-16 18:11:46 +0000, olcott said:
>> 
>>> On 8/16/2024 11:32 AM, Richard Damon wrote:
>>>> On 8/16/24 7:02 AM, olcott wrote:
>>>>> 
>>>>> *This abolishes the notion of undecidability*
>>>>> As with all math and logic we have expressions of language
>>>>> that are true on the basis of their meaning expressed
>>>>> in this same language. 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
>>>>> x is simply untrue in F.
>>>> 
>>>> But you clearly don't understand the meaning of "undecidability"
>>> 
>>> Not at all. I am doing the same sort thing that ZFC
>>> did to conquer Russell's Paradox.
>> 
>> Zermelo constructed a new formal theory that does not have that paradox.
>> Note that the paradox was not present in Cantor's original theory as
>> Cantor did not promise that Russell's set exists. But Cantor's original
>> presentation was not fully formal so it was not clear that Russell's
>> set does not exist.
>> 
> 
> I am redefining the notion of a formal system to get
> rid of undecidability. This requires few changes.

Put a draft and a request for discussion on a web site.

-- 
Mikko