Jon,
Peirce devoted his life to developing mathematical-logical
methods for making all the sciences, including philosophy, as clear and
precise as possible.
JAS> This
post ... consists mostly of Peirce's words, with
 a few of mine interspersed, but I hope that the arrangement enables it
all to make sense.
I have never seen any paraphrase of
Peirce's words that was clearer or more precise than his own.  The only
way to make  words more precise is to use the method he developed and
presented to the world:  logic.  And he showed how to use logic by
applying it to numerous examples. 
If you don't want to use logical
notations, you can use specific examples that show how Peirce's words (or
yours) are applied in practice.
Without examples or logical
notation, piling up words upon words upon words creates more confusion
than it can ever clarify.
John
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