Inquiry Blog
http://inquiryintoinquiry.com/2015/02/22/mathematical-demonstration-the-doctrine-of-individuals-1/
http://inquiryintoinquiry.com/2015/02/23/mathematical-demonstration-the-doctrine-of-individuals-2/

Peircers,

Because it has come up once again, let me just mention one more time
why I think Peirce's theory of individuals has such a radical bearing
on the whole question of nominalism vs. realism.

It is a maxim of nominal(istic) thinking that we should not mistake
a general name for the name of a general.  But should we then turn
around and mistake an individual name for the name of an individual?

Peirce makes the status of being an individual relative to discourse,
that is, a context of discussion or a specified universe of discourse,
and so he makes individuality an interpretive attribute rather than an
ontological essence.

This does nothing less than subvert the very basis of the controversy
between nominalism and realism by dispelling the illusion of nominal
thinkers that the denotations of individual terms are necessarily
any less ideal than the denotations of general terms.  Whether
signs are secure in their denotations has to be determined on
more solid practical grounds than mere grammatical category.

If I may append a self-quotation,
here are a few from the turn of
the millennium:

http://web.archive.org/web/20030927022020/http://suo.ieee.org/ontology/msg04332.html
http://web.archive.org/web/20070705085032/http://suo.ieee.org/ontology/thrd24.html#04332
http://intersci.ss.uci.edu/wiki/index.php/Mathematical_Demonstration_and_the_Doctrine_of_Individuals

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Any genuine appreciation of what Peirce has to say about identity,
indices, names, proper or otherwise, and the putative distinctions
between individual, particular, and general terms will have to deal
with what he wrote in 1870 about the "doctrine of individuals".

Notice that this statement, together with the maxims
that "Whatever has comprehension must be general"
and "Whatever has extension must be composite",
pull the ruga -- and all of the elephants --
out from underneath the nominal thinker's
wishful thinking to find ontological
security in individual names, which
said nominal thinker has confused
with the names of individuals,
to turn a phrase back on same.

Jon Awbrey

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