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Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: comp.theory,sci.logic Subject: Re: Analytic Truth-makers Date: Mon, 22 Jul 2024 19:11:44 -0500 Organization: A noiseless patient Spider Lines: 30 Message-ID: <v7msg0$sepk$1@dont-email.me> References: <v7m26d$nrr4$1@dont-email.me> <e41a2d324173031e1fe47acc0fd69b94b7aba55e@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 23 Jul 2024 02:11:44 +0200 (CEST) Injection-Info: dont-email.me; posting-host="c53d2de4672c698529f342dcfedcfa3a"; logging-data="932660"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/FiyF6MU6O/CeRzDMNNOGV" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:3GRFldYwan6YL5oQ8fL8oMZkdf8= In-Reply-To: <e41a2d324173031e1fe47acc0fd69b94b7aba55e@i2pn2.org> Content-Language: en-US Bytes: 2333 On 7/22/2024 7:01 PM, Richard Damon wrote: > On 7/22/24 12:42 PM, olcott wrote: >> I have focused on analytic truth-makers where an expression of >> language x is shown to be true in language L by a sequence of truth >> preserving operations from the semantic meaning of x in L to x in L. >> >> In rare cases such as the Goldbach conjecture this may require an >> infinite sequence of truth preserving operations thus making analytic >> knowledge a subset of analytic truth. >> https://en.wikipedia.org/wiki/Goldbach%27s_conjecture >> >> There are cases where there is no finite or infinite sequence of >> truth preserving operations to x or ~x in L because x is self- >> contradictory in L. In this case x is not a truth-bearer in L. >> >> >> > > So, now you ADMIT that Formal Logical systems can be "incomplete" > because there exist analytic truths in them that can not be proven with > an actual formal proof (which, by definition, must be finite). > *No stupid I have never been saying anything like that* If g and ~g is not provable in PA then g is not a truth-bearer in PA. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer