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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Mikko <mikko.levanto@iki.fi> Newsgroups: comp.theory Subject: Re: Why Tarski is wrong --- Montague, Davidson and Knowledge Ontology providing situational context. Date: Sat, 22 Mar 2025 16:26:03 +0200 Organization: - Lines: 200 Message-ID: <vrmh9r$53on$1@dont-email.me> References: <vr1shq$1qopn$1@dont-email.me> <7f68c434c15abfc9d4b645992344f0e851f031a3@i2pn2.org> <vr4t3e$bkso$5@dont-email.me> <vr50bg$ed3o$5@dont-email.me> <vr5abg$m5ov$6@dont-email.me> <8ea8c8f1c661d0f2eef855af9b4c171d4f574826@i2pn2.org> <vr6po4$1udpn$7@dont-email.me> <4965dcbb84fc29c9ba9d3cea39b59a8608bfeb66@i2pn2.org> <vr7v51$2u81k$3@dont-email.me> <7db5f56a38a6b6eda2b63acc2568f5dedcc55efd@i2pn2.org> <vr9fp6$bv13$5@dont-email.me> <vrbrkd$2ii4j$1@dont-email.me> <vrbss5$2j07c$1@dont-email.me> <2dd0fa97e2387ba4bca36b40ca16925933b35d9a@i2pn2.org> <vrfe7q$1oabl$1@dont-email.me> <0e92642bf4519e50ba48d51b52d17749c6e19664@i2pn2.org> <vri3va$3egq$1@dont-email.me> <9495b0ea31b3c2559cf9515bfabe071d48cc9d39@i2pn2.org> <vrinjq$kefg$2@dont-email.me> <7e65b56232049fe2b950c1502d33545501e1f185@i2pn2.org> <vrkqnt$2h2aq$3@dont-email.me> <829a8bc81663a35c224655ab2d5394505bf03a3e@i2pn2.org> <vrl5ec$2qtdu$1@dont-email.me> <cbb8b77102aead1c693ef30c611c265ea0961528@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 22 Mar 2025 15:26:03 +0100 (CET) Injection-Info: dont-email.me; posting-host="73265710d7ab43a56ef5db5792fd337f"; logging-data="167703"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/JAkmaJITzVlYkrCiPN7Tk" User-Agent: Unison/2.2 Cancel-Lock: sha1:hS/0kPpM2nFR6btAAv6iOyeTQrQ= Bytes: 11250 On 2025-03-22 02:31:23 +0000, Richard Damon said: > On 3/21/25 9:57 PM, olcott wrote: >> On 3/21/2025 7:01 PM, Richard Damon wrote: >>> On 3/21/25 6:54 PM, olcott wrote: >>>> On 3/21/2025 6:48 AM, Richard Damon wrote: >>>>> On 3/20/25 11:49 PM, olcott wrote: >>>>>> On 3/20/2025 8:31 PM, Richard Damon wrote: >>>>>>> On 3/20/25 6:14 PM, olcott wrote: >>>>>>>> On 3/19/2025 8:59 PM, Richard Damon wrote: >>>>>>>>> On 3/19/25 5:50 PM, olcott wrote: >>>>>>>>>> On 3/18/2025 10:04 PM, Richard Damon wrote: >>>>>>>>>>> On 3/18/25 9:36 AM, olcott wrote: >>>>>>>>>>>> On 3/18/2025 8:14 AM, Mikko wrote: >>>>>>>>>>>>> On 2025-03-17 15:40:22 +0000, olcott said: >>>>>>>>>>>>> >>>>>>>>>>>>>> On 3/16/2025 9:51 PM, Richard Damon wrote: >>>>>>>>>>>>>>> On 3/16/25 9:50 PM, olcott wrote: >>>>>>>>>>>>>>>> On 3/16/2025 5:50 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>> On 3/16/25 11:12 AM, olcott wrote: >>>>>>>>>>>>>>>>>> On 3/16/2025 7:36 AM, joes wrote: >>>>>>>>>>>>>>>>>>> Am Sat, 15 Mar 2025 20:43:11 -0500 schrieb olcott: >>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>> We can define a correct True(X) predicate that always succeeds except >>>>>>>>>>>>>>>>>>>> for unknowns and untruths, Tarski WAS WRONG !!! >>>>>>>>>>>>>>>>>>> That does not disprove Tarski. >>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> He said that this is impossible and no >>>>>>>>>>>>>>>>>> counter-examples exists that shows that I am wrong. >>>>>>>>>>>>>>>>>> True(GC) == FALSE Cannot be proven true AKA unknown >>>>>>>>>>>>>>>>>> True(LP) == FALSE Not a truth-bearer >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> But if x is what you are saying is >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> A True(X) predicate can be defined and Tarski never >>>>>>>>>>>>>>>> showed that it cannot. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> Sure he did. Using a mathematical system like Godel, we can construct a >>>>>>>>>>>>>>> statement x, which is only true it is the case that True(x) is false, >>>>>>>>>>>>>>> but this interperetation can only be seen in the metalanguage created >>>>>>>>>>>>>>> from the language in the proof, similar to Godel meta that generates >>>>>>>>>>>>>>> the proof testing relationship that shows that G can only be true if it >>>>>>>>>>>>>>> can not be proven as the existance of a number to make it false, >>>>>>>>>>>>>>> becomes a proof that the statement is true and thus creates a >>>>>>>>>>>>>>> contradiction in the system. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> That you can't understand that, or get confused by what is in the >>>>>>>>>>>>>>> language, which your True predicate can look at, and in the >>>>>>>>>>>>>>> metalanguage, which it can not, but still you make bold statements that >>>>>>>>>>>>>>> you can not prove, and have been pointed out to be wrong, just shows >>>>>>>>>>>>>>> how stupid you are. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> True(X) only returns TRUE when a a sequence of truth >>>>>>>>>>>>>>>> preserving operations can derive X from the set of basic >>>>>>>>>>>>>>>> facts and returns false otherwise. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> Right, but needs to do so even if the path to x is infinite in length. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> This never fails on the entire set of human general >>>>>>>>>>>>>>>> knowledge that can be expressed using language. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> But that isn't a logic system, so you are just proving your stupidity. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> Note, "The Entire set of Human General Knowledge" does not contain the >>>>>>>>>>>>>>> contents of Meta-systems like Tarski uses, as there are an infinite >>>>>>>>>>>>>>> number of them possible, and thus to even try to express them all >>>>>>>>>>>>>>> requires an infinite number of axioms, and thus your system fails to >>>>>>>>>>>>>>> meet the requirements. Once you don't have the meta- systems, Tarski >>>>>>>>>>>>>>> proof can create a metasystem, that you system doesn't know about, >>>>>>>>>>>>>>> which creates the problem statement. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> It is not fooled by pathological self-reference or >>>>>>>>>>>>>>>> self-contradiction. >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> Of course it is, because it can't detect all forms of such references. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> And, even if it does detect it, what answer does True(x) produce when >>>>>>>>>>>>>>> we have designed (via a metalanguage) that the statement x in the >>>>>>>>>>>>>>> language will be true if and only if ! True(x), which he showed can be >>>>>>>>>>>>>>> done in ANY system with sufficient power, which your universal system >>>>>>>>>>>>>>> must have. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> Sorry, you are just showing how little you understand what you are >>>>>>>>>>>>>>> talking about. >>>>>>>>>>>>>> >>>>>>>>>>>>>> We need no metalanguage. A single formalized natural >>>>>>>>>>>>>> language can express its own semantics as connections >>>>>>>>>>>>>> between expressions of this same language. >>>>>>>>>>>>> >>>>>>>>>>>>> A nice formal language has the symbols and syntax of the first order logic >>>>>>>>>>>>> with equivalence and the following additional symbols: >>>>>>>>>>>> >>>>>>>>>>>> I am not talking about a trivially simple formal >>>>>>>>>>>> language. I am talking about very significant >>>>>>>>>>>> extensions to something like Montague grammar. >>>>>>>>>>>> >>>>>>>>>>>> The language must be expressive enough to fully >>>>>>>>>>>> encode any and all details of each element of the >>>>>>>>>>>> entire body of human general knowledge that can >>>>>>>>>>>> be expressed using language. Davidson semantics >>>>>>>>>>>> provides another encoding. >>>>>>>>>>>> >>>>>>>>>>> >>>>>>>>>>> But "encoding" knowledge, isn't a logic system. >>>>>>>>>> Unless you bother to pay attention to the details >>>>>>>>>> of how this of encoded. >>>>>>>>> >>>>>>>>> But "Encoded Knowledge" isn't a logic system. PERIOD. BYU DEFINITION. >>>>>>>>> That would just be a set of axioms. Note, Logic system must also have a >>>>>>>>> set of rules of relationships and how to manipulate them, >>>>>>>> >>>>>>>> Yes stupid I already specified those 150 times. >>>>>>>> TRUTH PRESERVING OPERATIONS. >>>>>>>> >>>>>>>>> and that needs more that just expressing them as knowledge. >>>>>>>>> >>>>>>>> >>>>>>>> NOT AT ALL DUMB BUNNY, for all the expressions >>>>>>>> that are proved completely true entirely on the basis of >>>>>>>> their meaning expressed in language they only need a >>>>>>>> connection this semantic meaning to prove that they >>>>>>>> are true. >>>>>>>> >>>>>>>>>> >>>>>>>>>>> >>>>>>>>>>> Part of the problem is that most of what we call "Human Knowledge" >>>>>>>>>>> isn't logically defined truth, but is just "Emperical Knowledge", for >>>>>>>>>>> which we >>>>>>>>>> >>>>>>>>>> The set of human knowledge that can be expressed >>>>>>>>>> in language provides the means to compute True(X). >>>>>>>>> >>>>>>>>> Of course not, as then True(x) just can't handle a statement whose >>>>>>>>> truth is currently unknown, which it MUST be able to handle >>>>>>>>> >>>>>>>> >>>>>>>> It employs the same algorithm as Prolog: >>>>>>>> Can X be proven on the basis of Facts? >>>>>>> >>>>>>> And thus you just admitted that your system doesn't even QUALIFY to be >>>>>>> the system that Tarski is talking about. >>>>>>> >>>>>>> You don't seem to understand that fact, because apparently you can't >>>>>>> actually understand any logic system more coplicated than what Prolog >>>>>>> can handle. >>>>>>> >>>>>> >>>>>> This concise specification is air-tight. >>>>>> The set of all human general knowledge that can be expressed >>>>>> using language has no undecidability or undefinability. >>>>>> >>>>>> >>>>> >>>>> Nope. Proven otherwise, and you are just showing your stupidity in >>>>> maintaining that claim. >>>>> >>>>> >>>> >>>> Then try and show ALL OF THE DETAILS OF how when one starts >>>> with basic facts and only applies truth preserving operations that >>>> True(X) is not always correct. >>> >>> You have already shown that you don't understand the proof, so why >>> should I repeat it, >>> >>> Look at Tarski's FULL paper (and the material he references) and see >>> how he develops the expression of x in the language, by working in the >>> metalanguage it embed the needed meaning into x >>> >> >> I have already specified a system that needs no >> metalanguage because it has all of its full >> semantics specified syntactically and I got >> the essence of this idea from Gödel back in 2012 ========== REMAINDER OF ARTICLE TRUNCATED ==========