Being open to persuasion can help show respect for an interlocutor. At the same time, open-mindedness about morally objectionable claims can carry moral as well as epistemic risks. Our aim in this paper is to specify when there might be duty to be open to persuasion. We distinguish two possible interpretations of openness. First, openness might refer to a kind of mental state, wherein one is willing to revise or abandon present beliefs. Second, it might refer to a deliberative practice, (...) according to which one is willing to engage with opposing reasons. We suggest these two interpretations are conceptually and empirically distinct. Once disambiguated, we suggest that different contexts may make different forms of openness appropriate as expressions of respect. (shrink)