Re: Peirce's 1880 “Algebra Of Logic” Chapter 3 • Selection 3

Re:Jim Willgoose
JW:http://permalink.gmane.org/gmane.science.philosophy.peirce/15624
JW:http://permalink.gmane.org/gmane.science.philosophy.peirce/15636
JW:http://permalink.gmane.org/gmane.science.philosophy.peirce/15639
JW:http://permalink.gmane.org/gmane.science.philosophy.peirce/15641
JW:http://permalink.gmane.org/gmane.science.philosophy.peirce/15657
JW:http://permalink.gmane.org/gmane.science.philosophy.peirce/15664

Jim, List,

Arranging the individual relatives -- for various reasons, I prefer
the term "elementary relatives" and will eventually switch to that --
in k-dimensional arrays is merely a matter of convenience and need
not concern us too much at our present level of abstraction.

The important thing is the representation of k-adic relatives and relations
in extensional form via sets of k-tuples like A:B, A:B:C, ... (in Peirce's
usual notation) or (A, B), (A, B, C), ... (as might be more common today).

In a form like "lover of ---" the word "lover" is a place-holder
for the r=E8late and the blank is a place-holder for the correlate.
So the number of blanks is the adicity of the relation minus one.
We can always express the same relation through the auxiliary of
a copula, as "--- is a lover of ---".

Regards,

Jon

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