Equality by lot

This topic came up recently. Here is the most thorough discussion of this matter in the primary sources that I am aware of. Aristotle is describing here (Politics, 1317a-1318a) what he considers as the conventional wisdom of his time:

And for this inquiry we must take into view all the features that are popular and that are thought to go with democracies; for it comes about from combinations of these that the kinds of democracy are formed, and that there are different democracies and more than one sort. In fact there are two causes for there being several kinds of democracy, first the one stated before, the fact that the populations are different （for we find one multitude engaged in agriculture and another consisting of handicraftsmen and day-laborers, and when the first of these is added to the second and again the third to both of them it not only makes a difference in that the quality of the democracy becomes better or worse but also by its becoming different in kind）; and the second cause is the one about which we now speak. For the institutions that go with democracies and seem to be appropriate to this form of constitution make the democracies different by their combinations; for one form of democracy will be accompanied by fewer, another by more, and another by all of them. And it is serviceable to ascertain each of them both for the purpose of instituting whichever of these kinds of democracy one happens to wish and for the purpose of amending existing ones. For people setting up constitutions seek to collect together all the features appropriate to their fundamental principle, but in so doing they make a mistake, as has been said before in the passage dealing with the causes of the destruction and the preservation of constitutions. And now let us state the postulates, the ethical characters and the aims of the various forms of democracy.
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