Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.logic Subject: Re: How a True(X) predicate can be defined for the set of analytic knowledge Date: Sat, 29 Mar 2025 09:51:52 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <0306c3c2d4a6d05a8bb7441c0b23d325aeac3d7b@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 29 Mar 2025 09:51:52 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2228780"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2375 Lines: 17 Am Fri, 28 Mar 2025 15:07:22 -0500 schrieb olcott: > On 3/28/2025 8:46 AM, Richard Damon wrote: >> Ok, so therefore it includes all the "laws of mathematics" and the >> "rules of inference" and thus, the system is capable of creating the >> rules and properties of the Natural Numbers, so it supports the proofs >> of Godel and Tarski, and thus there are statements in that sytstem that >> are True but unprovable and no definition of the Truth Predicate can >> handle those, > > Yes it will showed the formal system can be defined that have all kinds > of issues because they were defined incoherently. How is arithmetic (which is all it takes for Gödel's proof) incoherent? -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.