There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.

Time is a great teacher, but unfortunately it kills all its pupils. Hector Berlioz It is easier to fight for one's principles than to live up to them.

Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing.

The chief danger in life is that you may take too many precautions.

We only regard those unions as real examples of love and real marriages in which a fixed and unalterable decision has been taken. If men or women contemplate an escape, they do not collect all their powers for the task. In none of the serious and important tasks of life do we arrange such a "getaway." We cannot love and be limited.

A lie would have no sense unless the truth were felt as dangerous.

Distorted history boasts of bellicose glory... and seduces the souls of boys to seek mystical bliss in bloodshed and in battles.