Climenhaga, Nevin (2013) A Problem For the Alternative Difference Measure of Confirmation. [Preprint]
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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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Item Type: | Preprint | ||||||
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Keywords: | Confirmation Evidence Bayesian epistemology Probability | ||||||
Subjects: | General Issues > Confirmation/Induction Specific Sciences > Probability/Statistics |
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Depositing User: | Nevin Climenhaga | ||||||
Date Deposited: | 17 Jan 2017 15:23 | ||||||
Last Modified: | 17 Jan 2017 15:23 | ||||||
Item ID: | 12758 | ||||||
Journal or Publication Title: | Philosophical Studies | ||||||
Official URL: | http://link.springer.com/article/10.1007/s11098-01... | ||||||
DOI or Unique Handle: | 10.1007/s11098-012-9872-0 | ||||||
Subjects: | General Issues > Confirmation/Induction Specific Sciences > Probability/Statistics |
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Date: | 2013 | ||||||
Page Range: | pp. 643-651 | ||||||
Volume: | 164 | ||||||
Number: | 3 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/12758 |
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A Problem For the Alternative Difference Measure of Confirmation. (deposited UNSPECIFIED)
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