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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,215 of 262,912    |
|    olcott to Python    |
|    Re: New formal foundation for correct re    |
|    25 Nov 25 18:14:12    |
      XPost: sci.math, comp.theory       From: polcott333@gmail.com              On 11/25/2025 6:04 PM, Python wrote:       > Peter, every time someone points out that your system breaks Gödel by       > redefining truth as “things my system proves,” you reply that this is       “a       > fundamentally different foundation,” as if giving a new name to the       > floor suddenly allowed you to float.       >       > Your new line — “Gödel incompleteness can only exist when syntax and       > semantics are divided” — is just the same move in a new hat. Gödel’s       > original 1931 proof is purely syntactic, requires zero model theory, and       > works even if you paint “SEMANTICS” on the side of the syntax with a big       > red brush. The diagonal argument doesn’t care about your ontology, your       > types, your Prolog unification, or how many decades you’ve stared at it.       >       > This is the whole problem: every time the theorem bites, you amputate       > the part of mathematics that hurts and say, “See, no wound!” You’ve       > solved incompleteness the same way a surgeon would solve mortality by       > outlawing death certificates.       >       > Your system makes True(x) computable exactly the way a shredder makes       > archival integrity computable: anything inconvenient simply becomes “not       > in the body of general knowledge expressible in language.” If Gödel       > sentences don’t fit, the bin is right there.       >       > That’s not “integrating semantics.”       > That’s declaring all troublesome meanings illegal.       >              Perhaps you do not fully understand exactly what       semantic logical entailment is thus cannot directly       see how and why this totally eliminates undecidability       and undefinability. I have spent at least five full       time years on this one thing.              > It’s a bold philosophical stance, sure.       > But it’s not mathematics.              It is a brand new provably correct foundation       for correct reasoning that corrects all of the       shortcoming and incoherence of logic and math.                     --       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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