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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,908 of 262,912    |
|    olcott to Mikko    |
|    Re: A new foundation for correct reasoni    |
|    14 Dec 25 17:14:35    |
      [continued from previous message]              >>>>>> As I say non-terminating, thus never resolves to a truth value.       >>>>>       >>>>> As according to Prolog rules foo(Y) isn't a truth value for any Y       >>>>> the above is obviously just an attempt to deive with a distraction.       >>>>       >>>> That was a quote from the most definitive source       >>>> for the Prolog Language.       >>>       >>> As I already said, that source agrees with what I said above.       >>>       >>>> Prolog only has Facts and Rules thus the only       >>>> derivation is to a truth value.       >>>       >>       >> You just don't seem to understand:       >> ?- G = not(provable(F, G)).       >> G = not(provable(F, G)).       >> ?- unify_with_occurs_check(G, not(provable(F, G))).       >> false.       >>       >> The first statement creates a cyclic term, also called       >> a rational tree. The second executes logically sound       >> unification and thus fails.       >> https://www.swi-prolog.org/pldoc/man?predicate=unify_with_occurs_check/2       >       > Saying the same as I said does not support a claim of non-understanding.       >              It finally resolves the Liar Paradox       as not a truth bearer or proposition.              Also every other decision problem instance       with pathological self reference is isomorphic       to the Liar Paradox.              --       Copyright 2025 Olcott |
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