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Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: sci.logic Subject: The key undecidable instance that I know about Date: Sun, 9 Mar 2025 12:15:13 -0500 Organization: A noiseless patient Spider Lines: 16 Message-ID: <vqkib1$r5np$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 09 Mar 2025 18:15:13 +0100 (CET) Injection-Info: dont-email.me; posting-host="871355eeae5211f3a720171f83a700ed"; logging-data="890617"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+uCo3ju/AlORK/pAso2LOB" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:sTdTrZ85B9IX79emDOW3YFUuboQ= Content-Language: en-US X-Antivirus: Norton (VPS 250309-4, 3/9/2025), Outbound message X-Antivirus-Status: Clean Is the Liar Paradox True or False? LP := ~True(LP) ?- LP = not(true(LP)). LP = not(true(LP)). ?- unify_with_occurs_check(LP, not(true(LP))). false. Its infinitely recursive structure makes it neither true nor false. -- Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer