 In the recent past, many philosophers have sought to establish a close connection between justice and equality: they ask the question ‘what kind of equality does justice require?’, and to that several competing answers have been given (see, for example Cohen 1989, Dworkin 2000, Sen 1980). But we should not be too hasty to assume that what justice demands is always equality, whether of treatment or of outcome. Perhaps it does so only in a formal sense. As we saw in sect 1.3, justice requires the impartial and consistent application of rules, from which it follows that when two people are alike in all relevant respects, they must be treated equally. But, as Aristotle among others saw, justice also involves the idea of proportional treatment, which implies recipients getting unequal amounts of whatever good is at issue (Aristotle, Nicomachean Ethics, Book V, ch. 3). If A is twice as deserving or twice as needy as B, justice may require that she receives more than B does. So here formal equality of treatment – the same rule applied to both – leads to an unequal outcome. Again, when justice takes the conservative form of respect for existing entitlements or legitimate expectations (see para 2.1) there is no reason to anticipate that what is due to different people will be substantively the same.