A number of arguments against relativism are based on the concept of majority rule. Since, the arguments allege, on relativism moral truth is founded on majority opinion, relativism entails that (a) moral progress and reform are impossible, (b) propaganda, advertising, brainwashing, and high birth rates turn mistaken moral judgments into correct ones, (c) moral horrors, if enough people believe them acceptable, are not moral horrors at all, (d) finding out what’s right and what’s wrong is extremely easy, (e) moral reasoning (...) is very different from what we normally take it to be, and (f) internal criticism of a moral code is impossible. These arguments get their due in this article, which first defines and explicates relativism and then exposes, explains, and criticizes the arguments. Especially important to understand about the relation between relativism and majority opinion is the notion of a convention. Accordingly, it is discussed at some length. (shrink)