I formatted my previous note ery nicely, but this email handler
scrambled it.  I'll just repeat the conclusions.  The previous note shows
that they are consistent with what Peirce wrote and with 21st c
terminology..

That produces three version of logic:  (1) the
logic of mathematics, which is the first branch of pure mathematiics; 
(2)  the logic used in CP vol 1 book 3, which is used to analyze the
phaneron to produce the categories; and  (3) the logic that depends on all
of the above plus esthetics and ethics:

1. Logic as a branch
of pure mathematics, formal logic (AKA logica docens),

2.
Logic as used to analyze the phaneron to derive the categories, formal
semeiotic.

3. Logic as a normative cience that depends on
esthetics and ethics, informal logic (AKA logic utens) -- or normative
logic. 

This terminology is consistent with the practice in
teaching (docens) and using (utens) logic from ancient times to the
present.

John


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