Mighty knowledge

We often claim to know what might be—or probably is—the case. Modal knowledge along these lines creates a puzzle for information-sensitive semantics for epistemic modals. This paper develops a solution. We start with the idea that knowledge requires safe belief: a belief amounts to knowledge only if it could not easily have been held falsely. We then develop an interpretation of the modal operator in safety (could have) that allows it to non-trivially embed information-sensitive contents. The resulting theory avoids various paradoxes that arise from other accounts of modal knowledge. It also delivers plausible predictions about modal Gettier cases.