A problem for the alternative difference measure of confirmation

Philosophical Studies 164 (3):643-651 (2013)
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Abstract

Among Bayesian confirmation theorists, several quantitative measures of the degree to which an evidential proposition E confirms a hypothesis H have been proposed. According to one popular recent measure, s, the degree to which E confirms H is a function of the equation P(H|E) − P(H|~E). A consequence of s is that when we have two evidential propositions, E1 and E2, such that P(H|E1) = P(H|E2), and P(H|~E1) ≠ P(H|~E2), the confirmation afforded to H by E1 does not equal the confirmation afforded to H by E2. I present several examples that demonstrate the unacceptability of this result, and conclude that we should reject s (and other measures that share this feature) as a measure of confirmation.

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Nevin Climenhaga
Australian Catholic University

Citations of this work

Simplicity as a criterion of theory choice in metaphysics.Andrew Brenner - 2017 - Philosophical Studies 174 (11):2687-2707.
Evidential support, transitivity, and screening-off.William Roche - 2015 - Review of Symbolic Logic 8 (4):785-806.

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