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Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: sci.logic Subject: Re: This makes all Analytic(Olcott) truth computable --- truth-bearer Date: Wed, 21 Aug 2024 07:47:37 -0500 Organization: A noiseless patient Spider Lines: 162 Message-ID: <va4nl9$3s0hu$4@dont-email.me> References: <v86olp$5km4$1@dont-email.me> <v9o4p2$1h5u4$1@dont-email.me> <cd12fb81fcd05d2e112fc8aca2f5b791c521cfc9@i2pn2.org> <v9oddf$1i745$2@dont-email.me> <7f2a1f77084810d4cee18ac3b44251601380b93a@i2pn2.org> <v9ogmp$1i745$6@dont-email.me> <662de0ccc3dc5a5f0be0918d340aa3314d51a348@i2pn2.org> <v9oj4r$1i745$8@dont-email.me> <02642e518edd3aa9152cd47e4e527f21ee53a0e8@i2pn2.org> <v9okho$1i745$10@dont-email.me> <60c0214582c7f97e49ef6f8853bff95569774f97@i2pn2.org> <v9p7im$1p6bp$4@dont-email.me> <d67278caa0b8782725e806b61adf892028f2bf89@i2pn2.org> <v9qd2p$1tedb$10@dont-email.me> <4d8c7b1c69915ebbe108d7f4e29cf6172eac7759@i2pn2.org> <v9qel5$1tedb$13@dont-email.me> <43690773dba43c5d93d11635af0a26532e5be390@i2pn2.org> <v9qgn7$1tedb$15@dont-email.me> <v9sisj$2bs9m$1@dont-email.me> <v9slov$2c67u$3@dont-email.me> <v9uusd$2q1fo$1@dont-email.me> <v9vfh4$2rjt1$10@dont-email.me> <va1p24$3bb53$1@dont-email.me> <va26l9$3cvgv$5@dont-email.me> <bcbebf04fffc6303a7c7b0c9e40738214b92c22e@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 21 Aug 2024 14:47:38 +0200 (CEST) Injection-Info: dont-email.me; posting-host="6fc4e6078b6f11ac657df23e0012e04d"; logging-data="4063806"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18/Qcd3BOOLn/Q54PvrGjpD" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:oP8uIwH+/g6PxdvZxzw2qtukiwg= In-Reply-To: <bcbebf04fffc6303a7c7b0c9e40738214b92c22e@i2pn2.org> Content-Language: en-US Bytes: 8248 On 8/20/2024 9:43 PM, Richard Damon wrote: > On 8/20/24 9:45 AM, olcott wrote: >> On 8/20/2024 4:53 AM, Mikko wrote: >>> On 2024-08-19 12:58:12 +0000, olcott said: >>> >>>> On 8/19/2024 3:14 AM, Mikko wrote: >>>>> On 2024-08-18 11:26:22 +0000, olcott said: >>>>> >>>>>> On 8/18/2024 5:37 AM, Mikko wrote: >>>>>>> On 2024-08-17 15:47:51 +0000, olcott said: >>>>>>> >>>>>>>> On 8/17/2024 10:33 AM, Richard Damon wrote: >>>>>>>>> On 8/17/24 11:12 AM, olcott wrote: >>>>>>>>>> On 8/17/2024 9:53 AM, Richard Damon wrote: >>>>>>>>>>> >>>>>>>>>>> I guess you consider all the papers they wrote describing the >>>>>>>>>>> effects of their definitions "nothing" >>>>>>>>>>> >>>>>>>>>> >>>>>>>>>> Not at all and you know this. >>>>>>>>>> One change had many effects yet was still one change. >>>>>>>>>> >>>>>>>>> >>>>>>>>> But would mean nothing without showing the affects of that change. >>>>>>>>> >>>>>>>> >>>>>>>> Yet again with your imprecise use of words. >>>>>>>> When any tiniest portion of the meaning of an expression >>>>>>>> has been defined this teeny tiny piece of the definition >>>>>>>> makes this expression not pure random gibberish. >>>>>>>> >>>>>>>> Meaningless does not mean has less meaning, it is >>>>>>>> an idiom for having zero meaning. >>>>>>>> https://www.britannica.com/dictionary/meaningless >>>>>>> >>>>>>> You are lying. According to that page the word "meaningless" >>>>>>> has two meanings. The other is 'having no real importance or value'. >>>>>>> >>>>>> >>>>>> OK. I always use the base meaning of a term as its only meaning. >>>>>> That makes things much simpler if everyone knows this standard. >>>>> >>>>> People have different opions about which meaning is the "base" >>>>> meaning. >>>>> >>>> >>>> The most commonly used sense meaning at the first >>>> index in the dictionary. >>> >>> If you want to use this you should say so and specify the dictionary >>> in the beginning of your opus. You shold not choose a dictionary >>> that presents obsolete and archaic meanings first. >>> >> >> Base meaning as in the meaning in a knowledge ontology >> https://en.wikipedia.org/wiki/Ontology_(information_science) >> basis that all other sense meanings inherit from. >> >>>>>> For example a liar must be intentionally deceptive not merely >>>>>> mistaken. >>>>> >>>>> For example people may regard you as a liar if you say something >>>>> untrue >>>>> when you were too lazy to check the facts. >>>> >>>> I am redefining the foundations of logic thus my definitions >>>> are stipulated to override and supersede the original definitions. >>> >>> If you want to use definitions other that the first meaning given >>> by the dictionary, you must present the definition before the >>> first use in each opus that uses it. >>> >> >> The key term that I am slightly adapting is the term {analytic} >> from the analytic synthetic distinction. That is why the >> title of this post says Analytic(Olcott) > > Which, as I pointed out elswhere, basically means you aren't actually > talking about formal systems, as they don't have that distinction, > because there is no sense based truth to be synthetic. > Formal systems kind of sort of has some vague idea of what True means. Tarski "proved" that there is no True(L,x) that can be consistently defined. https://en.wikipedia.org/wiki/Tarski%27s_undefinability_theorem#General_form *The defined predicate True(L,x) fixed that* Unless expression x has a connection (through a sequence of true preserving operations) in system F to its semantic meanings expressed in language L of F then x is simply untrue in F. Whenever there is no sequence of truth preserving from x or ~x to its meaning in L of F then x has no truth-maker in F and x not a truth-bearer in F. We never get to x is undecidable in F. >> >>>> It took a long time to reverse-engineer the subtle nuances of >>>> the exact details of what needed to be changed. >>> >>> It seems that you have not yet completed that task. >>> >> >> I have competed the architecture of the task. >> We cannot move on to further elaboration until >> people quite rejecting the architecture out-of-hand. > > No, you haven't, because you haven't sat down an listed the axioms of > your Formal System, so you haven't "completed" (or even really strated) > your architecture. > >> >> *This abolishes the notion of undecidability* >> As with all math and logic we have expressions of language >> that are true on the basis of their meaning expressed >> in this same language. >> >> Unless expression x has a connection (through a sequence >> of true preserving operations) in system F to its semantic >> meanings expressed in language L of F then x is simply >> untrue in F. > > But Godel's G *IS* an expression that has a connection through an > INFINITE sequence of truth preserving operations in PA. It just can't be > proven in PA, as proofs require finite sequences in the system. > >> >> Whenever there is no sequence of truth preserving from >> x or ~x to its meaning in L of F then x has no truth-maker >> in F and x not a truth-bearer in F. We never get to x is >> undecidable in F >> >> > > Wrong. > > Truth allows an infinte sequence of steps. > > Decidability requires a FINITE sequence of steps. > > That difference is where undeciability comes into existance. > > Requiring Truth to be only established by finite sequences breaks too > much logic, and greatly limits what can be exressed. In particular, you > lose mathematics. Things that we could show must be true or false, but > we can't show which, end up being non-truth-bearers. > > We also end up with a system that can't talk about what it doesn't know > yet, as not-yet-known might be unknowable, and thus neither true or false. > > And, you can't let "proofs" use infinite sequences, as that breaks > epistomolgy, as we are finite, and can only know what can be shown with > a finite proof. ========== REMAINDER OF ARTICLE TRUNCATED ==========