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.

We ought not to listen to those who exhort us, because we are human, to think of human things....We ought rather to take on immortality as much as possible, and do all that we can to live in accordance with the highest element within us; for even if its bulk is small, in its power and value it far exceeds everything.

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

Happiness is prosperity combined with virtue.

The difference between a learned man and an ignorant one is the same as that between a living man and a corpse.

Again, the male is by nature superior, and the female inferior; and the one rules, and the other is ruled; this principle, of necessity, extends to all mankind.

The greatest victory is over self.