[Inquiry] Re: Extension x Comprehension = Information

[Jon Awbrey]

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ECI.  Note 26

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| Every symbol may be said in three different senses
| to be determined by its 'object', its 'equivalent
| representation', and its 'logos'.  It stands for
| its 'object', it translates its 'equivalent
| representation', it realizes its 'logos'.
|
| As every symbol is determined in these three ways, Symbols, as such,
| are subject to three laws one of which is the 'conditio sine qua non'
| of its standing for anything, the second of its translating anything,
| and the third of its realizing anything.  The first law is Logic, the
| second Universal Rhetoric, the third Universal Grammar.
|
| But an object is a thing informed and represented.
| An equivalent representation is an image which is
| itself represented and realized, and a logos is
| a form, embodied in an object and representation.
|
| Hence the object of a symbol implies in itself both thing, form, and image.
| And hence regarded as containing one or other of these three elements it may be
| distinguished as 'material object', 'formal object', and 'representative object'.
| Now so far as the object of a symbol contains the 'thing', so far the symbol
| stands for something and so far it denores.  So far as its object embodies
| a form, so far the symbol has a meaning and so far it connotes.  Thus we see
| that the 'denotative object' and the 'connotative object' are in fact identical;
| and therefore an analytic, an intensive synthetic, and an extensive proposition
| may all represent the same fact and yet the mode in which they are obtained and
| the relation of the proposition to that fact are necessarily very different.
|
| CSP, CE 1, pages 274-275.
|
| Charles Sanders Peirce, "On the Logic of Science",
| Harvard University Lectures of 1865, pages 161-302 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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