We cannot say that if a child is badly nourished he will become a criminal. We must see what conclusion the child has drawn.

The mathematical life of a mathematician is short. Work rarely improves after the age of twenty-five or thirty. If little has been accomplished by then, little will ever be accomplished.

Overcoming difficulties leads to courage, self-respect, and knowing yourself.

Death is really a great blessing for humanity, without it there could be no real progress. People who lived for ever would not only hamper and discourage the young, but they would themselves lack sufficient stimulus to be creative.

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

In this case, the neurotic resembles a human being who looks up to God, commends himself to His ways, and then religiously awaits how the Lord will guide him; he is nailed to the cross of his fiction.

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.