Modus tollens probabilized

We establish a probabilized version of modus tollens, deriving from p(E|H)=a and p()=b the best possible bounds on p(). In particular, we show that p() 1 as a, b 1, and also as a, b 0. Introduction Probabilities of conditionals Conditional probabilities 3.1 Adams' thesis 3.2 Modus ponens for conditional probabilities 3.3 Modus tollens for conditional probabilities.
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DOI 10.1093/bjps/55.4.747
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Hope, Knowledge, and Blindspots.Jordan Dodd - 2017 - Synthese 194 (2):531-543.

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