Deduction, induction and probabilistic support

Synthese 108 (1):1 - 10 (1996)
Elementary results concerning the connections between deductive relations and probabilistic support are given. These are used to show that Popper-Miller's result is a special case of a more general result, and that their result is not very unexpected as claimed. According to Popper-Miller, a purely inductively supports b only if they are deductively independent — but this means that a b. Hence, it is argued that viewing induction as occurring only in the absence of deductive relations, as Popper-Miller sometimes do, is untenable. Finally, it is shown that Popper-Miller's claim that deductive relations determine probabilistic support is untrue. In general, probabilistic support can vary greatly with fixed deductive relations as determined by the relevant Lindenbaum algebra.
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DOI 10.1007/BF00414003
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References found in this work BETA
C. Howson (1973). Must the Logical Probability of Laws Be Zero? British Journal for the Philosophy of Science 24 (2):153-163.
Ellery Eells (1988). On the Alleged Impossibility of Inductive Probability. British Journal for the Philosophy of Science 39 (1):111-116.

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