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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,535 of 262,912    |
|    Richard Damon to olcott    |
|    Re: A new foundation for correct reasoni    |
|    29 Nov 25 17:04:59    |
      [continued from previous message]              >>>>>> Every time you use the word "proven" you appear to be lying. I can't       >>>>>> recall any occurrence where you were telling the truth.       >>       >>>>> When a counter-example to my claim is categorically       >>>>> impossible then I have proven this claim even if       >>>>> you fail to understand that this is the generic       >>>>> way that all actual proof really works.       >>       >>>> It has nothing to do with my understanding, and a great deal to do with       >>>> your lack of it. You have not proven that a counter example to       >>>> whatever       >>>> it is you're talking about is "categorically impossible".       >>       >>> You could not point out any specific error in the       >>> details that I specified. You can only assert mere       >>> baseless dogma that you believe that I am incorrect.       >>       >> The "details" you "specified" were just hand-waving nonsense, not based       >> on any firm logical or mathematical results. Therefore they can be       >> justifiably disregarded.       >>       >       > *This is a new foundation for semantics*       > Every element of the set of general knowledge that       > can be expressed in symbolic language is a semantic       > tautology thus can be proven true entirely on the       > basis of relations between finite strings.              No, it is a worthless foundation, as it can't be used to expand that       knowledge, as you restrict the system to just what is already know.              >       >>>> You can't, since you lack the prerequisites to understand what       >>>> constitutes a proof, and you lack the mathematical foundations to be       >>>> able to construct one.       >>       >>> I don't give a rat's ass about your narrow minded learned by rote       >>> definitions of a proof are.       >>       >> Neither do I. Not relevant, since I don't have any such learned by rote       >> definitions of a proof.       >>       >       > I make sure to never have such.       > I only know things on the basis that they are proven       > to be inherently true.              Your problem is you have never-learned but used by rote statements.              Your second statement is just a lie, as you claim many things that are       just not true in the actual system you claim to be in.              >       >>> The most generic form of a proof is essentially a semantic tautology.       >>       >> That's neither here not there, being too abstract to be of use.       >>       >       > It shows that natural preexisting order of all knowledge.              Double-Talk.              >       >>>>>>> Within the giant semantic tautology of knowledge that       >>>>>>> can be expressed in language everything is proven or       >>>>>>> not an element of this body.       >>       >>>>>> Your scheme is limited indeed, in that it is not powerful enough to       >>>>>> represent unprovable propositions.       >>       >>>>> In other words "the entire body of knowledge that       >>>>> can be expressed in language" uses big words that       >>>>> you cannot understand?       >>       >>>>> What is left out of:       >>>>> "the entire body of knowledge that can be expressed in language" ?       >>       >>>> Arithmetic, for a start.       >>       >>> So you are trying to get away with saying that       >>> knowledge of arithmetic cannot be expressed in language?       >>       >> I'm saying that any system of knowledge in which Gödel's Incompleteness       >> Theorem doesn't apply is either inconsistent or incapable of doing       >> arithmetic.       >>       >       > You are merely spouting off dogma with no understanding       > of how I showed that this does not work.       >       > He used Gödel numbers to hide the underlying       > semantics in a language that could not directly       > specify either provability or self-reference.       >       > G says of itself that it is unprovable in F       > G := (F ⊬ G)       >       >>>> If that allegedly "entire body of knowledge"       >>>> was capable of doing arithmetic, Gödel's Incompleteness Theorem would       >>>> apply to it.       >>       >>> Arithmetic is merely insufficiently expressive, the body of knowledge       >>> that can be expressed in language knows that.       >>       >> No, the body of knowledge that can be represented as you envisage       >> wouldn't come up to the level of a stone-age person.       >>       >       > Since it directly formalizes the semantics of anything       > that anyone can possible ever say how can this be true?       >       >>>> That is a proof by contradiction that such a body of       >>>> knowledge cannot exist.       >>       >>> Not at all.       >>       >> How can you say that? You don't understand proof by contradiction,       >> remember?       >>       >>> Arithmetic is merely insufficiently expressive.       >>> While you attempt to come up with counter-examples know       >>> that dogma does not count.       >>       >> I don't know what you mean by dogma. I'm talking about proven results       >> like 2 + 2 = 4. You're just ignorant, because you don't have the       >> background needed to test these results, but you reject them just because       >> you don't like them. You're an idiot, in other words.       >>       >>> A counter-example would be an element of knowledge       >>> that can be expressed in language that:       >>> (a) Cannot be expressed in language.       >>> (b) Is not true. (All knowledge is true)       >>       >> That would indeed be a counter example. But given there is no suspicion       >> that such a construct of knowledge could be complete, no proof, no       >> attempt at a proof, there is nothing to give a counter example to.       >>       >       > G := (F ⊬ G) // G says of itself that it cannot be proved in F       > Gödel says the same thing so verbosely that no one has any       > idea that it all boils down to this: G := (F ⊬ G)       >       >>> That is what I mean by counter-examples are       >>> categorically impossible       >>       >> Your complete system of knowledge is categorically impossible.       >>       >>> --       >>> Copyright 2025 Olcott       >>       >>> My 28 year goal has been to make       >>> "true on the basis of meaning" computable.       >>       >>> This required establishing a new foundation       >>> for correct reasoning.       >>       >       >              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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