The Review of Symbolic Logic
Advance online publication
Cambridge University Press
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.
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Beddor, B. & Goldstein, S. D. (2017). Believing epistemic contradictions. The Review of Symbolic Logic. Advance online publication. doi: 10.1017/S1755020316000514