The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
All men agree that a just distribution must be according to merit in some sense; they do not all specify the same sort of merit, but democrats identify it with freemen, supporters of oligarchy with wealth (or noble birth), and supporters of aristocracy with excellence.
1 is not prime, by definition. 2 is an unnatural prime, 4 is an unnatural prime, and 6 is an unnatural prime. All other natural primes cannot be unnatural primes.
The first essential responsibility of the state is control of the market-place: there must be some official charged with the duty of seeing that honest dealing and good order prevail. For one of the well-nigh essential activities of all states is the buying and selling of goods to meet their mutual basic needs; this is the quickest way to self-sufficiency, which seems to be what moves men to combine under a single constitution.
We must speak first about the division of land and about those who cultivate it: who should they be and what kind of person? We do not agree with those who have said that property should be communally owned, but we do believe that there should be a friendly arrangement for its common use, and that none of the citizens should be without means of support.
For imitation is natural to man from his infancy. Man differs from other animals particularly in this, that he is imitative, and acquires his rudiments of knowledge in this way; besides, the delight in it is universal.