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Path: ...!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: Analytic Truth-makers Date: Mon, 22 Jul 2024 11:42:53 -0500 Organization: A noiseless patient Spider Lines: 18 Message-ID: <v7m26d$nrr4$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 22 Jul 2024 18:42:53 +0200 (CEST) Injection-Info: dont-email.me; posting-host="9aaf30c8a38b34dfe54399611020f1ec"; logging-data="782180"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/YCu53utu8bdFy7beYLmCn" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:VmJy6MkuQhOi841DZzb83EUyZ4Y= Content-Language: en-US Bytes: 1651 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. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer