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William Roche (2012). Transitivity and Intransitivity in Evidential Support: Some Further Results.

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  1.  73
    Is There a Place in Bayesian Confirmation Theory for the Reverse Matthew Effect?William Roche - 2018 - Synthese 195 (4):1631-1648.
    Bayesian confirmation theory is rife with confirmation measures. Many of them differ from each other in important respects. It turns out, though, that all the standard confirmation measures in the literature run counter to the so-called “Reverse Matthew Effect” (“RME” for short). Suppose, to illustrate, that H1 and H2 are equally successful in predicting E in that p(E | H1)/p(E) = p(E | H2)/p(E) > 1. Suppose, further, that initially H1 is less probable than H2 in that p(H1) < p(H2). (...)
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  2.  61
    A Condition for Transitivity in High Probability.William Roche - 2017 - European Journal for Philosophy of Science 7 (3):435-444.
    There are many scientific and everyday cases where each of Pr and Pr is high and it seems that Pr is high. But high probability is not transitive and so it might be in such cases that each of Pr and Pr is high and in fact Pr is not high. There is no issue in the special case where the following condition, which I call “C1”, holds: H 1 entails H 2. This condition is sufficient for transitivity in high (...)
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  3.  70
    Evidential Support, Transitivity, and Screening-Off.William Roche - 2015 - Review of Symbolic Logic 8 (4):785-806.
    Is evidential support transitive? The answer is negative when evidential support is understood as confirmation so that X evidentially supports Y if and only if p(Y | X) > p(Y). I call evidential support so understood “support” (for short) and set out three alternative ways of understanding evidential support: support-t (support plus a sufficiently high probability), support-t* (support plus a substantial degree of support), and support-tt* (support plus both a sufficiently high probability and a substantial degree of support). I also (...)
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  4. Evidence of Evidence is Evidence Under Screening-Off.William Roche - 2014 - Episteme 11 (1):119-124.
    An important question in the current debate on the epistemic significance of peer disagreement is whether evidence of evidence is evidence. Fitelson argues that, at least on some renderings of the thesis that evidence of evidence is evidence, there are cases where evidence of evidence is not evidence. I introduce a condition and show that under this condition evidence of evidence is evidence.
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  5. On the Truth-Conduciveness of Coherence.William Roche - 2014 - Erkenntnis 79 (S3):647-665.
    I argue that coherence is truth-conducive in that coherence implies an increase in the probability of truth. Central to my argument is a certain principle for transitivity in probabilistic support. I then address a question concerning the truth-conduciveness of coherence as it relates to (something else I argue for) the truth-conduciveness of consistency, and consider how the truth-conduciveness of coherence bears on coherentist theories of justification.
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  6.  77
    Dwindling Confirmation.William Roche & Tomoji Shogenji - 2014 - Philosophy of Science 81 (1):114-137.
    We show that as a chain of confirmation becomes longer, confirmation dwindles under screening-off. For example, if E confirms H1, H1 confirms H2, and H1 screens off E from H2, then the degree to which E confirms H2 is less than the degree to which E confirms H1. Although there are many measures of confirmation, our result holds on any measure that satisfies the Weak Law of Likelihood. We apply our result to testimony cases, relate it to the Data-Processing Inequality (...)
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    Structural Properties of Qualitative and Quantitative Accounts to Coherence.Michael Schippers - 2014 - Review of Symbolic Logic 7 (3):579-598.
  8. Confirmation, Transitivity, and Moore: The Screening-Off Approach.William Roche & Tomoji Shogenji - 2013 - Philosophical Studies (3):1-21.
    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 (...)
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