Being Wrong: Logics for False Belief

Notre Dame Journal of Formal Logic 52 (3):245-253 (2010)
Abstract
We introduce an operator to represent the simple notion of being wrong. Read Wp to mean: the agent is wrong about p . Being wrong about p means believing p though p is false. We add this operator to the language of propositional logic and study it. We introduce a canonical model for logics of being wrong, show completeness for the minimal logic of being wrong and various other systems. En route we examine the expressiveness of the language. In conclusion, we discuss an open question regarding K4
Keywords modal logic   wrong   incorrect   false   belief
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