All things are in fate, yet all things are not decreed by fate.

Those who have a natural talent for calculation are generally quick-witted at every other kind of knowledge; and even the dull, if they have had an arithmetical training, although they may derive no other advantage from it, always become much quicker than they would have been.

Wealth is well known to be a great comforter.

He who is only an athlete is too crude, too vulgar, too much a savage. He who is a scholar only is too soft, to effeminate. The ideal citizen is the scholar athlete, the man of thought and the man of action.

There is also a third kind of madness, which is possession by the Muses, enters into a delicate and virgin soul, and there inspiring frenzy, awakens lyric... But he, who, not being inspired and having no touch of madness in his soul, comes to the door and thinks he will get into the temple by the help of art - he, I say, and his poetry are not admitted; the sane man is nowhere at all when he enters into rivalry with the madman.

By education I mean that training in excellence from youth upward which makes a man passionately desire to be a perfect citizen, and teaches him to rule, and to obey, with justice. This is the only education which deserves the name.

The qualities of number appear to lead to the apprehension of truth.