We often find ourselves disagreeing with other people about factual matters. Sometimes, the people we disagree with would seem—apart from the disagreement, at least—to be just as likely to reach the truth on the relevant sort of matter as we are. What is the rational response to this sort of disagreement? This talk will defend the view that it is often irrational to maintain confidence in our beliefs in the face of this sort of disagreement. Along the way, it will explore some surprising implications of this view, and engage with some of the objections that have been raised against it.