Re: Triadic Sign Relations

Jon Awbrey <[email protected]>
Newsgroups gmane.comp.inquiry
Message-ID <[email protected]>
Re: http://ontolog.cim3.net/forum/ontolog-forum/2010-08/msg00119.html

Peirce had a more even-handed grasp of comprehensions and extensions
than most of us have been trained to treat them, indeed, he saw them
as paired appendages of the whole body of information that a concept,
symbol, or term embodies.

A "comprehension" is a set of "intensions" (properties or qualities),
while an "extension" is a set of "individuals".  In his early papers
Peirce described comprehensions as "logical composites" or "products"
and extensions as "logical aggregates" or "sums", treating these two
aspects of information in a symmetric manner with neither more basic
than the other.

Specialization is a process of determination like the one that
Peirce describes as lessening the extension of a term up to a point.
But if we add attributes to the comprehension data without narrowing
the extension beyond that fixed point, then we are adding "superfluous
comprehension", and the measure of that excess is called "information".
In contemporary terms, we speak of "information transmission" as being
related to "redundancy".

Jon Awbrey

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