Re: A missing definition in "Gödel's Proof" by Nagel & Newman (open letter)



Is a truth-table for that statement that shows it to be true in
all combinations of T and F for p and q considered to be a valid
proof of its truth?
NO Sorry i need to use capitals here.
Something is a proof if there is a derrivation of the theorem from
the axioms and inference rules.
A proof is very strict thing.
Truth tables do not prove anything.
Really????? Surely a truth-table demonstration that a wff is a
tautology is a perfectly good proof that it is true (and indeed is
necessarily so).

If you have already proved that your axiomatization is complete for
two-valued logic. That wasn't the case here, was it?

If I remember right the system presented in one of Copi's elementary
books was proved after the event to characterize a 52-valued system.

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