Path: ...!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott Newsgroups: sci.logic Subject: Re: This makes all Analytic(Olcott) truth computable Date: Sun, 18 Aug 2024 07:12:48 -0500 Organization: A noiseless patient Spider Lines: 32 Message-ID: References: <20b1dea98eda49e74e822c96b37565bb3eb36013@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 18 Aug 2024 14:12:49 +0200 (CEST) Injection-Info: dont-email.me; posting-host="126bd7503554732891ee2e704ffb1b5d"; logging-data="2496766"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/SR1tmE2yn+DyuxTlUhmQZ" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:tOUnUTHIADlU4XvC7tyaQyF6XRw= Content-Language: en-US In-Reply-To: Bytes: 3317 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. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer