[Inquiry] Re: Logic 101

[Jon Awbrey]

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LOG.  Note 18

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| Lowell Lecture 9 (cont.)
|
| We begin then with the term whose object is formally a Quale.
| A quale is to be regarded as the incarnation of the ground
| of its quality.  Moreover it necessarily is represented
| by something, for all impressions require logically to
| be represented and they are the matter of fact -- so
| that an absolutely and at all times unrepresented
| thing is nothing.
|
| A quale, therefore, has a direct reference both to the ground
| and the interpretant of the 'term' which represents it.  That
| term, therefore, in referring to its object, thereby refers
| in another way to its own ground and interpretant.
|
| Now the direct reference of a 'term' to its object is what
| we have called the 'denotation' of the term -- the object
| itself being its 'sphere' -- and the sum of that object
| reckoned by other terms its //'extension'/'extent'//.
|
| The indirect reference which a term has to its ground
| through its reference to its object is the qualities
| which its object universally has -- that is, is its
| 'connotation', the sum of the qualities reckoned by
| other terms being its //'comprehension'/'content'//.
|
| The indirect reference which a term has to its
| interpretant through its reference to its object
| is its 'implication' -- or considered as a quantity,
| its 'information'.
|
| Thus
|
|    Reference to ground through object      is 'Connotation'
|    Direct reference to object               " 'Denotation'
|    Reference to interpretant through object " 'Implication'
|
| The reason why
|
|    Extension x Comprehension = Information
|
| is that Extension and Comprehension can only be reckoned
| by the interpretants, each interpretant measuring either
| the one or the other.
|
| C.S. Peirce, 'Chronological Edition', CE 1, 478-479
|
|"The Logic of Science, or, Induction and Hypothesis",
| Lowell Institute Lectures (1866), pp. 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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