[Inquiry] Re: Extension x Comprehension = Information

[Jon Awbrey]

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ECI.  Note 25

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| We come now to an objection to the division of propositions
| which I have just given which will require us to examine the
| matter somewhat more deeply.  It may be said:  the copula in
| all cases establishes an identity between two terms.  Hence
| as in one of the propositions the object of denotation is
| the subject and the object of connotation the predicate,
| these two objects are identical and hence the division
| into three kinds is a distinction without a difference.
|
| In order to answer this objection we must revert to that distinction
| between 'thing', 'image', and 'form' established in the lecture upon
| the definition of logic.  A representation is anything which may be
| regarded as standing for something else.  Matter or thing is that
| for which a representation might stand prescinded from all that
| could constitute a relation with any representation.  A form is
| the relation between a representation and thing prescinded from
| both representation and thing.  An image is a representation
| prescinded from thing and form.
|
| Derived directly from this abstractest triad was another less abstract.
| This is Object--Equivalent-Representation--Logos.  The 'object' is
| a thing corresponding to a representation regarded as actual.
| The equivalent representation is a representation in any
| language equivalent to a representation regarded
| as actual.  A Logos is a form constituting
| the relation between an object and a
| representation regarded as actual.
|
| 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'.
|
| CSP, CE 1, page 274.
|
| 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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