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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: sci.logic Subject: Analytic Expressions of language not linked to their semantic meaning are simply untrue V2 Date: Mon, 29 Jul 2024 12:16:04 -0500 Organization: A noiseless patient Spider Lines: 59 Message-ID: <v88iol$ip5n$1@dont-email.me> References: <v86olp$5km4$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 29 Jul 2024 19:16:05 +0200 (CEST) Injection-Info: dont-email.me; posting-host="9d358cc663705f17d44fb4afa23cd753"; logging-data="615607"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+uTxtegQAR+KfBlF90P1vG" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:++gKSxEN8KiOwqLg9+478ILRa7w= In-Reply-To: <v86olp$5km4$1@dont-email.me> Content-Language: en-US Bytes: 3233 I re-establish the correct foundation of {analytic truth} and this includes true in math. The truth about every expression of language that can be known to be true on the basis of its meaning expressed in language is that a lack of connection simply means untrue. The Tarski Undefinability theorem and the 1931 Gödel incompleteness Theorem never could understand that. It seems simplistic except when understood to be saying the same thing as this much more complex analysis. Please take a quick peek at that paper. It gives me much more credibility. Prolog detects [and rejects] pathological self reference in the Gödel sentence https://www.researchgate.net/publication/350789898_Prolog_detects_and_rejects_pathological_self_reference_in_the_Godel_sentence *The same thing as the first paragraph with more technical details* {The truth about every expression of (formal or formalized natural language) language that can be known to be true on the basis of its meaning expressed in language}. Corrects the analytic / synthetic distinction so that it is unequivocal thus not subject to Quine's objections. https://plato.stanford.edu/Entries/analytic-synthetic/ Every truth that can be expressed in language is an analytic truth, such as "some pediatricians are rich". Every truth that cannot be expressed in language is a synthetic truth such as the actual sound of dogs barking. A lack up connection from an expression to its semantic meaning within the objects of this language such as PA simply means untrue in PA. A connection of this same expression in another different language within the objects of this language such as meta-math means true in meta-math. This same thing goes for Tarski's analysis of the Liar Paradox. The formalized version of "This sentence is not true" is not true in his theory. https://liarparadox.org/Tarski_247_248.pdf https://liarparadox.org/Tarski_275_276.pdf The formalized version of: This sentence is not true: "This sentence is not true" is true in his metatheory. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer