In an ingenious argument, Ng and Singer claim to show that it is possible to derive the general principle of utility from another principle, Weak Majority Preference (WMP), which many who are not utilitarians would be prepared to accept. WMP does indeed sound acceptable: ‘For a community of N individuals choosing between two possibilities, X and Y, if no individual prefers Y to X, and at least individuals prefer X to Y, then X increases social welfare and is preferable’ (232). But from this seemingly innocuous rule, Ng and Singer maintain, quite substantial results follow if one takes account the well-established fact of intransitive indifference owing to the existence of finite sensibility.