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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DOI 10.1007/s10992-012-9228-4
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References found in this work BETA
Counterfactuals.David K. Lewis - 1973 - Blackwell.
Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
Epistemic Modals Are Assessment-Sensitive.John MacFarlane - 2011 - In Andy Egan & B. Weatherson (eds.), Epistemic Modality. Oxford University Press.

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Citations of this work BETA
Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.
Modus Ponens Under the Restrictor View.Moritz Schulz - forthcoming - Journal of Philosophical Logic:1-28.
Triviality Results For Probabilistic Modals.Goldstein Simon - forthcoming - Philosophy and Phenomenological Research.
Conditional Preferences and Practical Conditionals.Nate Charlow - 2013 - Linguistics and Philosophy 36 (6):463-511.

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Sorites is No Threat to Modus Ponens: A Reply to Kochan.Colin Howson - 2009 - International Studies in the Philosophy of Science 23 (2):209-212.
Context Probabilism.Seth Yalcin - forthcoming - In M. Aloni (ed.), 18th Amsterdam Colloquium. Springer.
Intelligent Design and Probability Reasoning.Elliott Sober - 2002 - International Journal for Philosophy of Religion 52 (2):65-80.
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