One of the central theses of egalitarian liberals in the domain of distributive justice is that talented individuals should not be allowed to keep their entire market-income even if it flows solely from their greater abilities. This claim is usually supported by one of several arguments or some mixture of them, but in the present paper, I want to concentrate on the version that invokes equality of opportunity as its starting point. Namely, it is claimed that every human being should (...) enjoy an equal starting point in the life-race but that this is not secured insofar as some have greater natural talents than others. Therefore, egalitarians hold that results that arise from such an unfair situation are unjust and should be corrected by a redistributive taxation. I want to criticize this argument by hoping to show that it presupposes an untenable view about identity of persons. (shrink)