Modus TollensProbabilized
Carl G. Wagner · The British Journal for the Philosophy of Science · 2004
We establish a probabilized version of modus tollens, deriving from p(E|H)=a and p(Ē)=b the best possible bounds on p(H̄). In particular, we show that p(H̄) → 1 as a, b → 1, and also as a, b → 0. 1. Introduction 2. Probabilities of conditionals 3. Conditional probabilities 3.1 Adams' thesis 3.2 Modus ponens for conditional probabilities 3.3 Modus tollens for conditional probabilities