Deduction, Induction and Probabilistic
نویسنده
چکیده
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 xed deductive relations as determined by the relevant Lindenbaum algebra.
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