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.