A Counterexample to Modus Tollens

Journal of Philosophical Logic 41 (6):1001-1024 (2012)
Abstract
This paper defends a counterexample to Modus Tollens, and uses it to draw some conclusions about the logic and semantics of indicative conditionals and probability operators in natural language. Along the way we investigate some of the interactions of these expressions with 'knows', and we call into question the thesis that all knowledge ascriptions have truth-conditions.
Keywords Conditionals  Probability operators  Epistemic modals  Probability  Dynamic semantics  Context  Common ground  Modus Ponens  Modus Tollens
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