Philosophical Studies 168 (3):797-817 (2014)

Authors
William Roche
Texas Christian University
Tomoji Shogenji
Rhode Island College
Abstract
It is well known that the probabilistic relation of confirmation is not transitive in that even if E confirms H1 and H1 confirms H2, E may not confirm H2. In this paper we distinguish four senses of confirmation and examine additional conditions under which confirmation in different senses becomes transitive. We conduct this examination both in the general case where H1 confirms H2 and in the special case where H1 also logically entails H2. Based on these analyses, we argue that the Screening-Off Condition is the most important condition for transitivity in confirmation because of its generality and ease of application. We illustrate our point with the example of Moore’s ‘‘proof’’ of the existence of a material world, where H1 logically entails H2, the Screening-Off Condition holds, and confirmation in all four senses turns out to be transitive.
Keywords confirmation  transitivity  transmission  the screening-off condition  the dragging condition  Moore's proof  the converse consequence condition
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DOI 10.1007/s11098-013-0161-3
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References found in this work BETA

Warrant for Nothing (and Foundations for Free)?Crispin Wright - 2004 - Aristotelian Society Supplementary Volume 78 (1):167–212.
What's Wrong with Moore's Argument?James Pryor - 2004 - Philosophical Issues 14 (1):349–378.
Knowledge and Lotteries.A. Brueckner - 2005 - Mind 114 (453):160-165.
Problems for Dogmatism.Roger White - 2006 - Philosophical Studies 131 (3):525-557.
Epistemic Operators.Fred I. Dretske - 1970 - Journal of Philosophy 67 (24):1007-1023.

View all 52 references / Add more references

Citations of this work BETA

Evidential Support, Transitivity, and Screening-Off.William Roche - 2015 - Review of Symbolic Logic 8 (4):785-806.
Explanation, Confirmation, and Hempel's Paradox.William Roche - 2017 - In Kevin McCain & Ted Poston (eds.), Best explanations: New essays on inference to the best explanation. Oxford: Oxford University Press. pp. 219-241.

View all 8 citations / Add more citations

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