Deutsche Gesellschaft
für phänomenologische Forschung

Zeitschrift | Band | Artikel

237815

Deduction, induction and probabilistic support

James Cussens

pp. 1-10

Abstrakt

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.

Publication details

Published in:

(1996) Synthese 108 (1).

Seiten: 1-10

DOI: 10.1007/BF00414003

Referenz:

Cussens James (1996) „Deduction, induction and probabilistic support“. Synthese 108 (1), 1–10.