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Path: ...!2.eu.feeder.erje.net!feeder.erje.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: H(D,D) cannot even be asked about the behavior of D(D) --- Truth Itself is not Broken. Date: Sat, 15 Jun 2024 07:26:03 -0500 Organization: A noiseless patient Spider Lines: 24 Message-ID: <v4k18r$3f0hc$4@dont-email.me> References: <v45tec$4q15$1@dont-email.me> <v4c12r$3oop0$3@i2pn2.org> <v4cjl7$1o4b4$1@dont-email.me> <v4d991$3qbnc$1@i2pn2.org> <v4da12$1sioe$1@dont-email.me> <v4dbmf$3qbnc$3@i2pn2.org> <v4dcd6$1sioe$3@dont-email.me> <v4df0h$3qbnd$1@i2pn2.org> <v4dhf5$1tsdf$2@dont-email.me> <v4dja1$3qbnd$5@i2pn2.org> <v4djhf$1tsdf$6@dont-email.me> <v4dk7b$3qbnc$8@i2pn2.org> <v4dl3b$225kb$1@dont-email.me> <v4dn5u$3qbnd$8@i2pn2.org> <v4dop4$22o4a$2@dont-email.me> <v4dq07$3qbnc$12@i2pn2.org> <v4dqq0$2353n$1@dont-email.me> <v4el9m$3rsd6$3@i2pn2.org> <v4f3ec$2akmh$2@dont-email.me> <v4g65a$3tn6q$1@i2pn2.org> <v4g6vr$2ic0g$1@dont-email.me> <v4gc0b$3tn6r$6@i2pn2.org> <v4gcjc$2msea$1@dont-email.me> <v4geab$3tn6r$8@i2pn2.org> <v4gg0s$2nim8$2@dont-email.me> <v4ha63$3v16r$2@i2pn2.org> <v4hfq9$2sdqr$5@dont-email.me> <v4ijlc$kqh$1@i2pn2.org> <v4injg$348ha$1@dont-email.me> <v4iraj$kqh$4@i2pn2.org> <v4isva$392jh$2@dont-email.me> <v4itis$kqh$7@i2pn2.org> <v4iutm$39bc0$1@dont-email.me> <v4jv2n$222a$2@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 15 Jun 2024 14:26:03 +0200 (CEST) Injection-Info: dont-email.me; posting-host="020d44455d70acf7231aebb6a85d124b"; logging-data="3637804"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19WdLzi4TlkNpSN7KJYwGYH" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:vrMG07OA2IjXQ789Ta4Plmj+GsQ= Content-Language: en-US In-Reply-To: <v4jv2n$222a$2@i2pn2.org> Bytes: 3087 On 6/15/2024 6:48 AM, joes wrote: > Am Fri, 14 Jun 2024 21:39:50 -0500 schrieb olcott: > >> The key aspect of all of this is that if the halting problem is correct >> then truth itself is fundamentally broken. Since truth itself cannot >> possibly be fundamentally broken it must be fallible human understanding >> of truth that is actually broken. > I've got bad news for you, and you're a century late. Gödel proved that > not all true statements are provable. It sure would have been nice. > He didn't even prove this. He proved that a statement that can be expressed in PA cannot be proving in PA that is not true in PA yet can be proved in matamath thus is true in metamath. G lacks a truthmaker in PA and has a truthmaker in metamath. Tarski did the same thing yet started with the actual Liar Paradox. I am not going to bother to show you his proof it is over your head. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer