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G?del incompleteness is more aptly construed as the non-sequitur error
in the same way that the conclusion {the Moon orbits the Earth} is not a
logical consequence of the premise {cats are mammals}.
Provability ONLY validates logical consequence. Whenever a conclusion is
not provable from its premises we have the non-sequitur error. This
remains true when the only premises are the axioms of the formal system.
--
Copyright 2023 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer
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