Comment 2
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<QUOTE>

For instance, you and I are men because we possess those attributes —
having two legs, being rational, &c. — which make up the comprehension
of ''man''.  Every addition to the comprehension of a term lessens its
extension up to a certain point, after that further additions increase
the information instead.

Thus, let us commence with the term ''colour'';  add to the
comprehension of this term, that of ''red''.  ''Red colour''
has considerably less extension than ''colour'';  add to this
the comprehension of ''dark'';  ''dark red colour'' has still
less [extension].  Add to this the comprehension of ''non-blue'' —
''non-blue dark red colour'' has the same extension as ''dark
red colour'', so that the ''non-blue'' here performs a work of
supererogation;  it tells us that no ''dark red colour'' is blue,
but does none of the proper business of connotation, that of
diminishing the extension at all.

(Peirce 1866, Lowell Lecture 7, CE 1, 467).

</QUOTE>

Peircers,

When we set about comprehending the comprehension of a sign, say,
a term or expression, we run into a very troublesome issue as to
how many intensions (predicates, properties, qualities) an object
of that sign has.  For how do we quantify the number of qualities
a thing has?  Without some more or less artificial strait imposed
on the collection of qualities, the number appears without limit.

Let's pass this by, as Peirce does, for now, and imagine that
we have fixed on some way of speaking sensibly about ''the''
comprehension of a sign in a particular set of signs, the
collection of which we may use as a language or a medium.

Then we can begin to talk about the amount of redundancy, the
superfluidity of comprehension, if you will, as Peirce does,
that belongs to a given sign, and thus to its object.

Regards,

Jon

--

academia: http://independent.academia.edu/JonAwbrey
my word press blog: http://inquiryintoinquiry.com/
isw: http://intersci.ss.uci.edu/wiki/index.php/JLA

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