[Inquiry] Re: Kaina Stoicheia
jawbrey at att.net
Fri Oct 7 09:45:17 CDT 2005
KS. Note 4
| If a sign, 'B', only signifies characters that
| are elements (or the whole) of the meaning of
| another sign, 'A', then 'B' is said to be a
| 'predicate' (or 'essential part') of 'A'.
| If a sign 'A', only denotes real objects that
| are a part or the whole of the objects denoted
| by another sign, 'B', then 'A' is said to be a
| 'subject' (or 'substantial part') of 'B'.
| The totality of the predicates of a sign, and also the totality of the
| characters it signifies, are indifferently each called its logical 'depth'.
| This is the oldest and most convenient term. Synonyms are the 'comprehension'
| of the Port-Royalists, the 'content' ('Inhalt') of the Germans, the 'force'
| of DeMorgan, the 'connotation' of J.S. Mill. (The last is objectionable.)
| The totality of the subjects, and also, indifferently, the totality of the
| real objects of a sign is called the logical 'breadth'. This is the oldest
| and most convenient term. Synonyms are the 'extension' of the Port-Royalists
| (ill-called 'extent' by some modern French logicians), the 'sphere' ('Umfang')
| of translators from the German, the 'scope' of DeMorgan, the 'denotation' of
| J.S. Mill.
| Besides the logical depth and breadth, I have proposed (in 1867) the terms
| 'information' and 'area' to denote the total of fact (true or false) that
| in a given state of knowledge a sign embodies.
| C.S. Peirce, ["Kaina Stoicheia"], NEM 4, 241
| C.S. Peirce, ["Kaina Stoicheia"], MS 517 (1904), pp. 235-263 in:
| Carolyn Eisele (ed.), 'The New Elements of Mathematics by
| Charles S. Peirce, Volume 4, Mathematical Philosophy',
| Mouton, The Hague, 1976.
| Cf. "New Elements", pp. 300-324 in 'The Essential Peirce, Volume 2 (1893-1913)',
| Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1998.
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