[Inquiry] Re: Extension x Comprehension = Information

[Jon Awbrey]

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ECI.  Note 11

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| It is obvious that all deductive reasoning has
| a common property unshared by the other kinds --
| in being purely 'explicatory'.  Buffier mentions
| a definition of logic as the art of confessing in
| the conclusion what we have avowed in the premisses.
| This bit of satire translated into the language of
| sobriety -- amounts to charging that the logicians
| confine their attention exclusively to deductive
| reasoning.  A charge which against the logicians
| of other days, was quite just.
|
| All deductive reasoning is merely explicatory.  That is to say,
| that which appears in the conclusion explicitly was contained in
| the premisses implicitly.  All explication is of one of two kinds --
| direct or indirect.
|
| Explication direct consists in simply substituting for a word what is implied
| in that word.  A statement therefore in order to imply something not expressed
| must either say that a word denotes something or else that something is meant
| by a word.  Then the direct explication consists in saying that that what
| a word denotes is what is meant by the word.
|
| Indirect explication consists in saying that what is not
| what is meant by the word is not denoted by the word or
| else in saying that which what a word denotes is not
| is not meant by the word.
|
| Explication in general, then, may be said to be the
| application of the maxim that what a word denotes
| is what is meant by the word.
|
| CSP, CE 1, pages 458-459.
|
| Charles Sanders Peirce,
|"The Logic of Science, or, Induction and Hypothesis",
| Lowell Institute Lectures of 1866, pages 357-504 in:
|
|'Writings of Charles S. Peirce:  A Chronological Edition',
|'Volume 1, 1857-1866', Peirce Edition Project,
| Indiana University Press, Bloomington, IN, 1982.

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