 Secondly, in the particular sense “justice” means “equality” or “fairness”, and this includes distributive justice, according to which different individuals have just claims to shares of some common asset such as property. Aristotle analyzes arguments for and against the different constitutions as different applications of the principle of distributive justice (III.9.1280a7–22). Everyone agrees, he says, that justice involves treating equal persons equally, and treating unequal persons unequally, but they do not agree on the standard by which individuals are deemed to be equally (or unequally) meritorious or deserving. He assumes his own analysis of distributive justice set forth in Nicomachean Ethics V.3: Justice requires that benefits be distributed to individuals in proportion to their merit or desert. The oligarchs mistakenly think that those who are superior in wealth should also have superior political rights, whereas the democrats hold that those who are equal in free birth should also have equal political rights. Both of these conceptions of political justice are mistaken in Aristotle’s view, because they assume a false conception of the ultimate end of the city-state. The city-state is neither a business enterprise to maximize wealth (as the oligarchs suppose) nor an association to promote liberty and equality (as the democrats maintain). Instead, Aristotle argues, “the good life is the end of the city-state,” that is, a life consisting of noble actions (1280b39–1281a4). Hence, the correct conception of justice is aristocratic, assigning political rights to those who make a full contribution to the political community, that is, to those with virtue as well as property and freedom (1281a4–8). This is what Aristotle understands by an “aristocratic” constitution: literally, the rule of the aristoi, i.e., best persons. Aristotle explores the implications of this argument in the remainder of Politics III, considering the rival claims of the rule of law and the rule of a supremely virtuous individual. Here absolute kingship is a limiting case of aristocracy. Again, in books VII-VIII, Aristotle describes the ideal constitution in which the citizens are fully virtuous.