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Arnold says:
I would venture to suggest (subject to the better sense of those on
the list who have greater experince with the MSS than I have) that the notion of
a Sign contains the concept of a transitive function, making a very strong case
for what Thomas has said on this subject. Other transitive functions in
Peirce can be found in Vols III and IV of the CP (see especially 3.562)RE
RESPONSE:
You won't get any objections from
me on that, Arnold. Let me quote myself (from my dissertation many
year ago (1966) on CSP's conception of representation): "Peirce
indicates in several places that he regards the nota notae as the generic
inference principle (see esp. 5.320 and 3.183). [Nota notae est nota rei
ipsius: the mark of the mark is the mark of the thing itself.] Further, he
identifies this with the dictum de omni (4.77) [which is in Aristotle], and with
what De Morgan called the principle of the transitiveness of the copula.
(2.591-92). The latter is in turn identified with the illative relation
(3.175), and this, again, is explicitly said to be the "primary and paramount
semiotic relation." (2.444n1). I suggest, therefore, that all of Peirce's
statements of the representation relation may thus be taken as so many variant
expressions of what he understands to be expressed by the nota notae, the dictum
de omni, the notion of the transitivity of the copula, or the principle of
illation." (Charles Peirce: The Idea of Representation,
63)
Joe
Ransdell
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