Abstract
The notion of justice is not some inwardly homogeneous, simple and objective one. Assumed the gains and losses on the one side and the relative levels of welfare on tiie other side play the cmcial role as criteria for being just, there are at least the four different, mutually exhaustive and irreducible conceptions of justice - cardinal and ordinal utilitarianism and moderate and radical egalitarianism. The first and fourth theories rely on just one criterion, whereas theories two and three rely on two criteria each. These two theories are more refined but not more just: Their acceptability depends on normative persuasion. Thus, by introducing the intensity of preferences into analysis, the whole discussion of the concept of justice becomes more comprehensive but also more complicated.