The mode of election which has been described is in a mean between monarchy and democracy, and such a mean the state ought always to observe; for servants and masters never can be friends, nor good and bad, merely because they are declared to have equal privileges. For to unequals equals become unequal, if they are not harmonised by measure; and both by reason of equality, and by reason of inequality, cities are filled with seditions. The old saying, that 'equality makes friendship,' is happy and also true; but there is obscurity and confusion as to what sort of equality is meant. For there are two equalities which are called by the same name, but are in reality in many ways almost the opposite of one another; one of them may be introduced without difficulty, by any state or any legislator in the distribution of honours: this is the rule of measure, weight, and number, which regulates and apportions them. But there is another equality, of a better and higher kind, which is not so easily recognized. This is the judgment of Zeus; among men it avails but little; that little, however, is the source of the greatest good to individuals and states. For it gives to the greater more, and to the inferior less and in proportion to the nature of each; and, above all, greater honour always to the greater virtue, and to the less less; and to either in proportion to their respective measure of virtue and education. And this is justice, and is ever the true principle of states, at which we ought to aim, and according to this rule order the new city which is now being founded, and any other city which may be hereafter founded. To this the legislator should look,--not to the interests of tyrants one or more, or to the power of the people, but to justice always; which, as I was saying, is the distribution of natural equality among unequals in each case. But there are times at which every state is compelled to use the words, 'just,' 'equal,' in a secondary sense, in the hope of escaping in some degree from factions. For equity and indulgence are infractions of the perfect and strict rule of justice. And this is the reason why we are obliged to use the equality of the lot, in order to avoid the discontent of the people; and so we invoke God and fortune in our prayers, and beg that they themselves will direct the lot with a view to supreme justice. And therefore, although we are compelled to use both equalities, we should use that into which the element of chance enters as seldom as possible.