Regarding what I was trying to say about the relation between Thirdness and Secondness, I was drawing on my memory of the following. (All italicizing is as copied from Margolis's article.)

Joseph Margolis, in The Passing of Peirce’s Realism.
http://www.jstor.org/stable/40320422

   "Peirce is very pointed here. In his Lowell Lectures (1903), for
   instance, he says quite carefully and against the nominalist: ‘A
   rule to which future events have a tendency to conform is /ipso
   facto/ an important thing, an important element in the happening of
   those events. This mode of being which /consists/, mind my word if
   you please, the mode of being which /consists/ in the fact that
   future facts of Secondness will take on a determinate general
   character, I call a Thirdness.’ (1:26). This means /both/ that there
   is a thirdness in seconds and a secondness in thirds: /existing/
   things (seconds) react in ways that manifest /real/ thirdness, and
   real thirds (generals) are the inseparably predicable features /of/
   (the power of) existing things apt for manifesting their secondness.
   Universals don’t exist: to claim that they do would be a form of
   ‘nominalistic platonism’ (5.503); /universals are not particulars of
   any kind./ There you have the key to the most economical defeat of
   conceptualism. But, insofar as particulars do exist, /their/ (real)
   general structure /is effective in/ their secondness; they cannot
   exist unless they exist effectively, and they cannot exist
   effectively unless their predicable structure is part (a ‘real
   element’) of their effectivity. This also shows that haecceity
   cannot be separable from quiddity: effectivity is a function of the
   existence of /this/ and /that/, not of their essence as such. This
   goes against Scotus (on Peirce’s somewhat doubtful reading). Scotus
   (Peirce claims) wrongly construes the ‘thisness’ of particular
   things as signifying /universals that single out particulars as
   such;/ whereas their being particulars has to do only with their
   existence (their secondness)."


Matt
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