Luminosity and the safety of knowledge

In his recent Knowledge and its Limits, Timothy Williamson argues that no non-trivial mental state is such that being in that state suffices for one to be in a position to know that one is in it. In short, there are no "luminous" mental states. His argument depends on a "safety" requirement on knowledge, that one's confident belief could not easily have been wrong if it is to count as knowledge. We argue that the safety requirement is ambiguous; on one interpretation it is obviously true but useless to his argument, and on the other interpretation it is false.