Many egalitarians believe that social inequalities are worse than natural ones. Others deny that one can coherently distinguish between them. I argue that although one can separate the influence of these factors by an analysis of variance, the distinction is morally irrelevant. It might be alleged that my argument in favour of moral irrelevance attacks a straw man. While I think this allegation is incorrect, I accommodate it by distinguishing between four claims that are related to, and sometimes confused with, the claim that social inequalities are worse. These are: that one has a stronger reason to eliminate inequalities that obtain between, or are produced by, members of one's own society; that inequalities that result from unfair treatment are worse; that inequalities that we make, rather than merely allowing to exist, are worse; and that it is bad if people are treated unfairly.