--- Usually 2 is not considered too 'poly', and many-valued logics (polyvalent logics) start with n > 2. Grice is clear in "Logic and Conversation" that he is only concerned with 'standard two-valued classical interpretations' I think his phrasing is in that first paragraph -- to have
~ read as not
/\ as and
\/ as or
) as if
(x) as all
(Ex) as some (at least one)
(ix) as the
---- The problem with Grice was not so much polyvalent logic but the nonvalent logic of Strawson. Strawson had the 'cheek' as it were, to take Quine seriously and start talking of the truth-value gap.
So, when Grice is talking of 'two-valued' logic, he seems to be having in mind something that Strawson, alas, didn't!
Saturday, June 12, 2010
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