Being Wrong: Logics for False Belief

Christopher Steinsvold

doi:10.1215/00294527-1435438

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Home > Journals > Notre Dame J. Formal Logic > Volume 52 > Issue 3 > Article

2011 Being Wrong: Logics for False Belief

Christopher Steinsvold

Notre Dame J. Formal Logic 52(3): 245-253 (2011). DOI: 10.1215/00294527-1435438

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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.

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Christopher Steinsvold. "Being Wrong: Logics for False Belief." Notre Dame J. Formal Logic 52 (3) 245 - 253, 2011. https://doi.org/10.1215/00294527-1435438