The problem of imaginative resistance holds interest for aestheticians, literary theorists, ethicists, philosophers of mind, and epistemologists. We present a somewhat opinionated overview of the philosophical discussion to date. We begin by introducing the phenomenon of imaginative resistance. We then review existing responses to the problem, giving special attention to recent research directions. Finally, we consider the philosophical significance that imaginative resistance has—or, at least, is alleged to have—for issues in moral psychology, theories of cognitive architecture, and modal epistemology.