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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,626 of 262,912    |
|    olcott to Tristan Wibberley    |
|    Re: A new foundation for correct reasoni    |
|    02 Dec 25 07:22:50    |
      XPost: comp.theory, sci.math, comp.ai.philosophy       From: polcott333@gmail.com              On 12/2/2025 5:26 AM, Tristan Wibberley wrote:       > On 26/11/2025 20:04, olcott wrote:       >> On 11/26/2025 1:43 PM, Tristan Wibberley wrote:       >>> On 26/11/2025 15:54, olcott wrote:       >>>> (General_Knowledge ⊨ x) means True(x)       >>>> (General_Knowledge ⊨ ~x) means False(x)       >>>> ~True(x) & ~False(x) means x is not an element of General_Knowledge       >>>       >>> Eh? You made it sound like General_Knowledge was the system, rather than       >>> a model, but there you have it as a model.       >>>       >>       >> There is no model.       >>       >> It is all Rudolf Carnap Meaning Postulates       >> that have every single nuance of 100% of their       >> semantic meaning directly encoding in this formal       >> language arranged in a knowledge ontology       >> inheritance hierarchy.       >       >       > And this is the system you said of which that there has never been       > anything like it?       >              I discussed it with several LLM systems.       They don't have any egos to defend so       they simply understood how the ideas that       I presented them with fit together.              They agree that a system such as this cannot       have incompleteness in the Gödel sense or       Tarski Undefinability. I am going to do a       much better job of writing it all up to       present of for publication.              There have never been anything quite like this.       This seem to be as close as anyone has gotten:              That the theory of simple types suffices for       avoiding also the epistemological paradoxes       is shown by a closer analysis of these.       (Cf. Ramsey 1926a and Tarski 1935b: 399.)       https://lawrencecpaulson.github.io/papers/Russells-mathematical-logic.pdf              Ludwig Wittgenstein had the same problems       that I am having here. Logicians and Mathematicians       just can't seem to think outside of the box.       https://www.liarparadox.org/Wittgenstein.pdf              Thus, it can be shown, even inside F, that GF is       true if and only if it is not provable in F.              https://plato.stanford.edu/archives/fall2025/entries/goedel-inco       pleteness/#FirIncTheCom              There is a whole field of philosophy that seems       to question the results of Gödel Incompleteness       called Truthmaker Maximalism.              Truthmaker Maximalism defended       GONZALO RODRIGUEZ-PEREYRA       https://philarchive.org/archive/RODTMD                     --       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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