Safety, Lotteries, and Failures of the Imagination
Abstract
Safety accounts of knowledge intend to explain why certain true and intuitively justified
beliefs fail to be knowledge in terms of such beliefs falling prey to a modal veritic type of
luck. In particular, they explain why true and intuitively justified beliefs in “lottery
propositions” (highly likely propositions reporting that a particular statistical outcome
obtains) are not knowledge. In this paper, I argue that there is a type of case involving
lottery propositions that inevitably lies beyond the scope of any reasonable safety account
of epistemic luck. I offer counterexamples to accounts of epistemic luck in terms of safety
conditions that involve both “locally” and “globally” reliable ways of forming beliefs in
nearby worlds. All such counterexamples present a lottery case illustrating the next
possibility: the process of selecting the lottery winner might be such that any world in
which it delivers a different outcome is extremely far away from the actual world. In
addition to being a case of safe ignorance, this type of lottery case shows that, ultimately,
either veritic epistemic luck is not unsafe true belief or beliefs in lottery propositions are not
epistemically luckily true.