Philosophers have offered many arguments to explain why historical injustices require reparations. This paper raises an unnoticed challenge for almost all of them. Most theories of reparations attempt to meet two intuitions: (1) Reparations are owed for a past wrong and (2) the content of reparations must reflect the historical injustice. I argue that necessarily no monistic theory can meet both intuitions. I do this by showing that any theory that can meet intuition (1) necessarily cannot also meet intuition (2). (...) This result suggests that a theory of reparations must either sacrifice one of the two intuitions or be pluralist. I argue that we ought to prefer the pluralist over the monistic theory. I sketch the pluralist theory and I defend it by considering an objection about the way it can resolve conflicts. (shrink)