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Charles Sanders Peirce Crude, Quantitative, and Qualitative Induction (Cont.)



http://forum.wolframscience.com/archive/topic/604-1.html

DWI. Note 7

Crude, Quantitative, and Qualitative Induction (cont.)
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 Crude induction is the only kind of induction that is capable of inferring
 the truth of what, in logic, is termed a universal proposition. For what
 is called "complete induction" is not inductive reasoning, but is logistic
deduction. We might further say, if we chose, that every crude induction
 concludes a universal proposition; but this would be merely the expression
 of a way of regarding matters. For any proposition concerning the general
 run of future experience may be regarded as universal, even if it be "A pair
 of dice will, every now and then, turn up doublets". The undipped heel of
 crude induction is that if its conclusion be understood as indefinite, it
 will be of little use, while if it be taken definitely, it is liable at
 any moment to be utterly shattered by a single experience; for a series
 of experiences, if the whole constitutes but a single one of the instances
 to which an inductive conclusion refers, is to be regarded as a single
 experience.
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 C.S. Peirce, VAVOI, CP 2.757.

CAP  Tip Jon Awbry

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