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From: Mikko
Newsgroups: sci.logic
Subject: Re: This makes all Analytic(Olcott) truth computable
Date: Sun, 18 Aug 2024 14:56:37 +0300
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References: <7f2a1f77084810d4cee18ac3b44251601380b93a@i2pn2.org> <662de0ccc3dc5a5f0be0918d340aa3314d51a348@i2pn2.org> <02642e518edd3aa9152cd47e4e527f21ee53a0e8@i2pn2.org> <60c0214582c7f97e49ef6f8853bff95569774f97@i2pn2.org> <4d8c7b1c69915ebbe108d7f4e29cf6172eac7759@i2pn2.org> <43690773dba43c5d93d11635af0a26532e5be390@i2pn2.org> <6272b80d0aeaca324ac8624dce71945edeb59092@i2pn2.org> <2e642af254f6140ce8711da64f31d4fd8467d58b@i2pn2.org>
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On 2024-08-18 11:16:47 +0000, olcott said:
> On 8/18/2024 5:44 AM, Mikko wrote:
>> On 2024-08-17 17:22:14 +0000, olcott said:
>>
>>> On 8/17/2024 12:13 PM, Richard Damon wrote:
>>>>
>>>> But usable, until integrated into a Formal Logic system.
>>>>
>>>
>>> No. Just tacking it on at the end of set theory gets rid of RP.
>>
>> You needn't. It is provable in naive set theory that no set can be
>> a member of itself. The problem is that in naive set theory you can
>> also prove that there is a set that is a member of itself. Adding
>> new definitions or axioms don't affect either proof. In order to
>> remove a proof you must remove an axiom.
>>
>
> I accept whatever process of fully integrating the
> change that Richard said.
You said otherwise when you said "No. Just tacking it on at the end of
set theory gets rid of RP."
--
Mikko