[Inquiry] Re: Extension x Comprehension = Information

[Jon Awbrey]

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ECI.  Note 44

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Peirce continues his remarks on the
problem of the grounds of inference:

| In the first place with reference to the nature of the problem itself.
| It is not required to prove that deduction, induction, or hypothesis are
| valid.  On the contrary, they are to be accepted as conditions of thought.
| It had been shown in previous lectures that they are so.  Nor was a mode
| of calculating the probability of an induction or hypothesis now demanded;
| this being a merely subsidiary problem at best and one which may for ought
| we could yet see, be absurd.  What we now wanted was an articulate statement
| and a satisfactory demonstration of those transcendental laws which give rise
| to the possibility of each kind of inference.
|
| Those grounds of possibility we found to be that All things, forms, symbols are
| symbolizable.  For these laws must refer to symbolization because symbolization
| and inference are the same.  As grounds of possibility they must refer to the
| possibility of symbolization.  As logical laws they must consider the reference
| of symbols in general to objects.  Now symbols in general have three relations
| to objects;  namely so far as the latter contain things, forms, symbols.
| Finally as general principles they must be universal.
|
| CSP, CE 1, pages 289-290.
|
| 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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