On the logic of lying

Abstract

We look at lying as an act of communication, where (i) the proposition that is communicated is not true, (ii) the utterer of the lie knows that what she communicates is not true, and (iii) the utterer of the lie intends the lie to be taken as truth. Rather than dwell on the moral issues, we provide a sketch of what goes on logically when a lie is communicated. We present a complete logic of manipulative updating, to analyse the effects of lying in public discourse. Next, we turn to the study of lying in games. First, a game-theoretical analysis is used to explain how the possibility of lying makes such games interesting, and how lying is put to use in optimal strategies for playing the game. Finally, we give a matching logical analysis. Our running example of lying in games in liar’s dice.

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2009-01-28

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Yanjing Wang
Peking University

Citations of this work

Arrow Update Logic.Barteld Kooi & Bryan Renne - 2011 - Review of Symbolic Logic 4 (4):536-559.
True Lies.Thomas Ågotnes, Hans van Ditmarsch & Yanjing Wang - 2018 - Synthese 195 (10):4581-4615.
Dynamics of Lying.Hans van Ditmarsch - 2014 - Synthese 191 (5):1-33.
A General Framework for Dynamic Epistemic Logic: Towards Canonical Correspondences.Shota Motoura - 2017 - Journal of Applied Non-Classical Logics 27 (1-2):50-89.

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