ONT Re: Information = Comprehension x Extension -- Discussion
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ICE. Discussion Note 14
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antti,
more residuals, not so random, but no less annoisome ...
i will begin another attempt to organize what we've done so far.
CSP: | To explain this, we must remember that the process of induction is a
| process of adding to our knowledge; it differs therein from deduction --
| which merely explicates what we know -- and is on this very account called
| scientific inference. Now deduction rests as we have seen upon the inverse
| proportionality of the extension and comprehension of every term; and this
| principle makes it impossible apparently to proceed in the direction of
| ascent to universals. But a little reflection will show that when our
| knowledge receives an addition this principle does not hold.
|
| CSP, 'Chronological Edition', CE 1, pp. 463-464.
|
| 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.
peirce is addressing the problem of induction, that is to say, his task
is to account for the evident success of empirical scientific inference.
in the organon that peirce has borrowed from aristotle, there are three
basic types of reasoning -- abductive, deductive, inductive. deduction,
by its principles, is exact but purely explicative, that is, it neither
increases nor decreases the amount of information that it operates with.
abduction and induction are approximate but potentially "ampliative" in
their syntheses of facts, having the play to reduce data in some places
and to feign hypotheses that risk enhancing information in other places.
one chunk on a tine ...
jon awbrey
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http://www.cs.bsu.edu/homepages/mighty/history.html
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