Traditional epistemology is often said to have reached an impasse, and recent interest in virtue epistemology supposedly marks a turn away from philosophers' traditional focus on problems of knowledge and truth. Yet that focus re-emerges, especially among "reliabilist" virtue epistemologists. I argue for a more "responsibilist" approach and for the importance of some of the quieter and gentler epistemic virtues, by contrast with the tough-minded ones that are currently popular in education. In particular I make a case for what I here call "unknowing": a positive state that is not the same as ignorance. I acknowledge the mystical connotations of the term, and suggest that there is a strong interest in unknowing in writers such as Plato, Kierkegaard and Nietzsche. In their style of philosophising they also address the paradox of being knowing about unknowingness itself.