What do you first do when you learn to swim? You make mistakes, do you not? And what happens? You make other mistakes, and when you have made all the mistakes you possibly can without drowning - and some of them many times over - what do you find? That you can swim? Well - life is just the same as learning to swim! Do not be afraid of making mistakes, for there is no other way of learning how to live!

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

We are not determined by our experiences, but are self-determined by the meaning we give to them; and when we take particular experiences as the basis for our future life, we are almost certain to be misguided to some degree. Meanings are not determined by situations. We determine ourselves by the meanings we ascribe to situations.

seeing with the eyes of another, listening with the ears of another, and feeling with the heart of another.

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.

Follow your heart but take your brain with you.

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.