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

From a short-sided view, the whole moving contents of the heavens seemed to them a parcel of stones, earth and other soul-less bodies, though they furnish the sources of the world order.

And what shall he suffer who slays him who of all men, as they say, is his own best friend? I mean the suicide, who deprives himself by violence of his appointed share of life. Not because the law of the state requires him. Nor yet under the compulsion of some painful and inevitable misfortune which has come upon him. Nor because he has had to suffer from irremediable and intolerable shame, but who from sloth or want of manliness imposes upon himself an unjust penalty.

Until philosophers are kings, or the kings and princes of this world have the spirit and power of philosophy, and political greatness and wisdom meet in one, and those commoner natures who pursue either to the exclusion of the other are compelled to stand aside, cities will never have rest from their evils - no, nor the human race, as I believe - and then only will this our State have a possibility of life and behold the light of day.

In order to seek one's own direction, one must simplify the mechanics of ordinary, everyday life.

Geometry existed before creation.

The life which is not examined is not worth living.