They should rule who are able to rule best.

The error of Socrates must be attributed to the false notion of unity from which he starts. Unity there should be, both of the family and of the state, but in some respects only. For there is a point at which a state may attain such a degree of unity as to be no longer a state, or at which, without actually ceasing to exist, it will become an inferior state, like harmony passing into unison, or rhythm which has been reduced to a single foot. The state, as I was saying, is a plurality which should be united and made into a community by education

Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.

Democracy is when the indigent, and not the men of property, are the rulers.

Those who have the command of the arms in a country are masters of the state, and have it in their power to make what revolutions they please. [Thus,] there is no end to observations on the difference between the measures likely to be pursued by a minister backed by a standing army, and those of a court awed by the fear of an armed people.

In inventing a model we may assume what we wish, but should avoid impossibilities.

Everyone honors the wise.