Chancy Modus Ponens

Chancy modus ponens is the following inference scheme: ‘ probably φ ’, ‘if φ, then ψ’, therefore, ‘probably ψ ’. I argue that Chancy modus ponens is invalid in general. I further argue that the invalidity of Chancy modus ponens sheds new light on the alleged counterexample to modus ponens presented by McGee. I close by observing that, although Chancy modus ponens is invalid in general, we can recover a restricted sense in which this scheme of inference is valid.