Re: A missing definition in "Gödel's Proof" by Nagel & Newman (open letter)
- From: Jack Campin - bogus address <bogus@xxxxxxxxxxxxxxxx>
- Date: Thu, 01 Nov 2007 22:37:50 +0000
Really????? Surely a truth-table demonstration that a wff is aIs a truth-table for that statement that shows it to be true inNO Sorry i need to use capitals here.
all combinations of T and F for p and q considered to be a valid
proof of its truth?
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.
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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