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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: sci.logic Subject: Re: Mathematical incompleteness has always been a misconception --- Ultimate Foundation of Truth Date: Tue, 25 Feb 2025 12:41:58 -0600 Organization: A noiseless patient Spider Lines: 57 Message-ID: <vpl2tn$23vks$7@dont-email.me> References: <vnh0sq$35mcm$1@dont-email.me> <vo2i10$302f0$1@dont-email.me> <vo4nj4$3f6so$1@dont-email.me> <vo5btf$3ipo2$1@dont-email.me> <vo7ckh$q2p$1@dont-email.me> <vo7tdg$36ra$6@dont-email.me> <voa09t$idij$1@dont-email.me> <7e532aaf77653daac5ca2b70bf26d0a3bc515abf@i2pn2.org> <voceuj$14r1q$1@dont-email.me> <vocp21$16c4e$1@dont-email.me> <vof6hb$1nh1f$1@dont-email.me> <voflif$1q1mh$2@dont-email.me> <vohsmu$29krm$1@dont-email.me> <vp10ic$1e7iv$2@dont-email.me> <vp6qjb$2ousc$1@dont-email.me> <vpb1le$3jct4$13@dont-email.me> <0f7cd503773838ad12f124f23106d53552e277b8@i2pn2.org> <vpbknk$3qig2$1@dont-email.me> <vpc560$3sqf7$1@dont-email.me> <vpd5r4$2q85$2@dont-email.me> <7e3e9d35d880cfcad12f505dfb39c5650cdd249e@i2pn2.org> <vpfo75$js1o$1@dont-email.me> <f3c8332f4b42f8e085d4d4dac017ccc8a0dc5a5f@i2pn2.org> <vpgt6o$tiun$1@dont-email.me> <3cf165ef9793e844dc9d5db82aecbc47f9545367@i2pn2.org> <vpiubu$1fvqe$1@dont-email.me> <8a39a44e9b121185dc18a96fdaf2064fc8ff14e1@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 25 Feb 2025 19:41:59 +0100 (CET) Injection-Info: dont-email.me; posting-host="ae4d22a2babce2da2b4f9e10d47b5d58"; logging-data="2227868"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+73U3LH6clgGhOjFoCZT8c" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:8Bc1o8vWHuNP/q9cHs0YVKVcqQc= In-Reply-To: <8a39a44e9b121185dc18a96fdaf2064fc8ff14e1@i2pn2.org> X-Antivirus-Status: Clean Content-Language: en-US X-Antivirus: Norton (VPS 250225-8, 2/25/2025), Outbound message Bytes: 4640 On 2/25/2025 12:18 PM, joes wrote: > Am Mon, 24 Feb 2025 17:11:58 -0600 schrieb olcott: >> On 2/24/2025 6:27 AM, Richard Damon wrote: >>> On 2/23/25 11:39 PM, olcott wrote: >>>> On 2/23/2025 8:50 PM, Richard Damon wrote: >>>>> On 2/23/25 1:08 PM, olcott wrote: >>>>>> On 2/22/2025 9:56 PM, Richard Damon wrote: >>>>>>> On 2/22/25 1:42 PM, olcott wrote: >>>>>>>> On 2/22/2025 3:25 AM, Mikko wrote: >>>>>>>>> On 2025-02-22 04:44:35 +0000, olcott said: >>>>>>>>>> On 2/21/2025 7:05 PM, Richard Damon wrote: >>>>>>>>>>> On 2/21/25 6:19 PM, olcott wrote: >>>>>>>>>>>> On 2/20/2025 2:54 AM, Mikko wrote: >>>>>>>>>>>>> On 2025-02-18 03:59:08 +0000, olcott said: > >>>>>>>> We are answering the question: >>>>>>>> What are the relationships between arbitrary finite strings such >>>>>>>> that the semantic property of True(L, x) >>>>>>>> (where L and x are finite strings) can always be correctly >>>>>>>> determined for every finite string having a truth value that is >>>>>>>> entirely verified by its relation to other finite strings. >>>>>>>> >>>>>>> And, if the logic system can support the properties of the Natural >>>>>>> Number system, and a definition of the predicate True, it can be >>>>>>> shown that you can create the equivalent of >>>>>>> >>>>>>> Let P be defined as Not( True(L, P)) >>>>>>> in that system, and thus P is a semantically valid, >>>>>> >>>>>> Not at all. That is the same as saying you know that it is true that >>>>>> all squares are always round. >>>>> Really, then where is the error in his derivation? >>>> You clearly have no idea what "semantically sound" means. >>>> The only correct rebuttal to this is you proving that you do know this >>>> by providing the details of exactly what "semantically sound" means. >>> Sure I do. >>> A Systems is semantically sound if every statement that can be proven >>> is actually true by the systems semantics, >> That is very good. > There may yet be true statements that are not provable. > >>> in other words, the system doesn't allow the proving of a false >>> statement. >> That is not too bad yet ignores that some expressions might not have any >> truth value. > No such thing. > That is stupidly wrong. // semantically unsound because of type mismatch error What time is it (yes or no)? -- Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer