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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: supportt (support plus a sufficiently high probability), supportt* (support plus a substantial degree of support), and supporttt* (support plus both a sufficiently high probability and a substantial degree of support). I also (...) 

The main point of the paper is to show how popular probabilistic measures of incremental confirmation and statistical relevance with qualitatively different features can be embedded smoothly in generalized parametric families. In particular, I will show that the probability difference, log probability ratio, log likelihood ratio, odds difference, socalled improbability difference, and Gaifman’s measures of confirmation can all be subsumed within a convenient biparametric continuum. One intermediate step of this project may have interest on its own, as it provides a (...) 