Re: De In Esse Predication

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DEIP.  Note 19

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| The other divisions of terms, propositions, and arguments
| arise from the distinction of extension and comprehension.
| I propose to treat this subject in a subsequent paper.*
| But I will so far anticipate that as to say that there is,
| first, the direct reference of a symbol to its objects, or
| its denotation;  second, the reference of the symbol to its
| ground, through its object, that is, its reference to the
| common characters of its objects, or its connotation;  and
| third, its reference to its interpretants through its object,
| that is, its reference to all the synthetical propositions in
| which its objects in common are subject or predicate, and this
| I term the information it embodies.  And as every addition to
| what it denotes, or to what it connotes, is effected by means
| of a distinct proposition of this kind, it follows that the
| extension and comprehension of a term are in an inverse
| relation, as long as the information remains the same,
| and that every increase of information is accompanied
| by an increase of one or other of these two quantities.
| It may be observed that extension and comprehension
| are very often taken in other senses in which this
| last proposition is not true.
|
| C.S. Peirce, CP 1.559, "On a New List of Categories",
|'Proceedings of the American Academy of Arts and Sciences',
| vol. 7, pp. 287-298, 1867.
|
|*C.S. Peirce, "Upon Logical Comprehension and Extension",
|'Proceedings of the American Academy of Arts and Sciences',
| vol. 7, pp. 416-432, 1867.  CP 2.391-430.  Online copy at:
| http://www.iupui.edu/~peirce/web/writings/v2/w2/w2_06/v2_06.htm

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