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Published online by Cambridge University Press:  08 August 2017

Department of Philosophy, National University of Singapore
Department of Philosophy, Lingnan University


What is it to believe something might be the case? We develop a puzzle that creates difficulties for standard answers to this question. We go on to propose our own solution, which integrates a Bayesian approach to belief with a dynamic semantics for epistemic modals. After showing how our account solves the puzzle, we explore a surprising consequence: virtually all of our beliefs about what might be the case provide counterexamples to the view that rational belief is closed under logical implication.

Research Article
Copyright © Association for Symbolic Logic 2017 

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