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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: sci.logic Subject: A different perspective on undecidability Date: Wed, 16 Oct 2024 09:27:09 -0500 Organization: A noiseless patient Spider Lines: 18 Message-ID: <veoift$29dtl$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 16 Oct 2024 16:27:10 +0200 (CEST) Injection-Info: dont-email.me; posting-host="f097d53e4abea8ea9babea4b430282e3"; logging-data="2406325"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/JLl3qkDwXEHNmT+UeXSnc" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:fy905ktiLxFHjtzEImj7gVw2WAU= Content-Language: en-US Bytes: 1664 The whole notion of undecidability is anchored in ignoring the fact that some expressions of language are simply not truth bearers. When neither YES nor NO is the correct answer to a YES/NO question then the question itself is incorrect. We can correct this problem very easily by applying truth preserving operations to expressions of language that have been stipulated to be true. When this forms the foundation for a Tarski like: True(L, x) predicate then ~True(L, x) & ~True(L, ~x) means that x is not a truth bearer. When we do this then LP := ~True(LP) is rejected not a truth bearer. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer