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Path: ...!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 Date: Mon, 3 Feb 2025 10:54:08 -0600 Organization: A noiseless patient Spider Lines: 47 Message-ID: <vnqsbh$1c5sq$1@dont-email.me> References: <vnh0sq$35mcm$1@dont-email.me> <vni4ta$3ek8m$1@dont-email.me> <vnikre$3hb19$1@dont-email.me> <vnkov9$1971$1@dont-email.me> <vnl9vj$4f8i$1@dont-email.me> <vnndqs$kef3$1@dont-email.me> <vnpd96$vl84$1@dont-email.me> <vnqm3p$1apip$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 03 Feb 2025 17:54:10 +0100 (CET) Injection-Info: dont-email.me; posting-host="acd5597f2faaf24a7b8ac9a26cbba261"; logging-data="1447834"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/9QhLu8GMqvt/BoCbyHShN" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ofRH8FbjgB8CCBNk19tK0r9pW9k= X-Antivirus: Norton (VPS 250203-4, 2/3/2025), Outbound message X-Antivirus-Status: Clean In-Reply-To: <vnqm3p$1apip$1@dont-email.me> Content-Language: en-US Bytes: 3086 On 2/3/2025 9:07 AM, Mikko wrote: > On 2025-02-03 03:30:46 +0000, olcott said: > >> On 2/2/2025 3:27 AM, Mikko wrote: >>> On 2025-02-01 14:09:54 +0000, olcott said: >>> >>>> On 2/1/2025 3:19 AM, Mikko wrote: >>>>> On 2025-01-31 13:57:02 +0000, olcott said: >>>>> >>>>>> On 1/31/2025 3:24 AM, Mikko wrote: >>>>>>> On 2025-01-30 23:10:18 +0000, olcott said: >>>>>>> >>>>>>>> Within the entire body of analytical truth any expression of >>>>>>>> language that has no sequence of formalized semantic deductive >>>>>>>> inference steps from the formalized semantic foundational truths >>>>>>>> of this system are simply untrue in this system. (Isomorphic to >>>>>>>> provable from axioms). >>>>>>> >>>>>>> If there is a misconception then you have misconceived something. >>>>>>> It is well >>>>>>> known that it is possible to construct a formal theory where some >>>>>>> formulas >>>>>>> are neither provble nor disprovable. >>>>>> >>>>>> This is well known. >>>>> >>>>> And well undeerstood. The claim on the subject line is false. >>>> >>>> a fact or piece of information that shows that something >>>> exists or is true: >>>> https://dictionary.cambridge.org/us/dictionary/english/proof >>> >>> We require that terms of art are used with their term-of-art meaning and >> >> The fundamental base meaning of Truth[0] itself remains the same >> no matter what idiomatic meanings say. > > Irrelevant as the subject line does not mention truth. > Therefore, no need to revise my initial comment. > The notion of truth is entailed by the subject line: misconception means ~True. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer