Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: olcott Newsgroups: sci.logic Subject: Re: Mathematical incompleteness has always been a misconception --- Ultimate Foundation of Truth Date: Tue, 25 Feb 2025 15:10:10 -0600 Organization: A noiseless patient Spider Lines: 51 Message-ID: References: <7e532aaf77653daac5ca2b70bf26d0a3bc515abf@i2pn2.org> <0f7cd503773838ad12f124f23106d53552e277b8@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 22:10:11 +0100 (CET) Injection-Info: dont-email.me; posting-host="17e5a05b7136cdaa772e93aa83241211"; logging-data="2293538"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX184ih+UXpKpmJa4aaeDlk+J" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:WIBU7ksYCJJErZTwGiHRTVUCmpM= Content-Language: en-US In-Reply-To: X-Antivirus: Norton (VPS 250225-8, 2/25/2025), Outbound message X-Antivirus-Status: Clean Bytes: 3896 On 2/25/2025 9:35 AM, Mikko wrote: > On 2025-02-24 21:44:10 +0000, olcott said: > >> On 2/24/2025 2:58 AM, Mikko wrote: >>> On 2025-02-22 18:42:44 +0000, olcott said: >>> >>>> 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: >>>> >>>> >>>>>>>> Tarski anchored his whole proof in the Liar Paradox. >>>>>>>> >>>>>>> >>>>>>> By showing that given the necessary prerequisites, The equivalent >>>>>>> of the Liar Paradox was a statement that the Truth Predicate had >>>>>>> to be able to handle, which it can't. >>>>>>> >>>>>> >>>>>> It can be easily handled as ~True(LP) & ~True(~LP), Tarski just >>>>>> didn't think it through. >>>>> >>>>> No, it can't. Tarski requires that True be a predicate, i.e, a truth >>>>> valued function of one term. >>>> >>>> It does not matter a whit what the Hell his misconceptions >>>> required. >>> >>> It is not required by any misconception. It is required by the >>> meanings of the words and symbols, in particular "predicare" >>> and "~". >> >> That none of modern logic can handle expressions >> that are not truth bearers is their error and >> short-coming. > > Why should any logic permit formulas that are not truth-bearers? > (Of course, term expressions are not truth-bearers.) > Undecidable expressions are only undecidable because they are not truth bearers. Logic ignores this and faults the system and not the expression -- Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer