Jon AS and Jerry LRC,

There is nothing contradictory about the following paragraph:

If parts of a proposition be erased so as to leave blanks in their
places, and if these blanks are of such a nature that if each of
them be filled by a proper name the result will be a proposition,
then the blank form of proposition which was first produced by the
erasures is termed a rheme. According as the number of blanks in
a rheme is 0, 1, 2, 3, etc., it may be termed a medad (from
meden, nothing), monad, dyad, triad, etc., rheme.  (EP:299)

I'll admit that Peirce could have stated it more clearly by
writing "If N parts of a proposition be erased, where N is
zero or more..."

There are logics today that define a proposition as a relation
with zero arguments.  In effect, Peirce was making the same
assumption -- and for the same reasons.

John
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