It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details.
Thus, they are free to replace some objects by others so long as the relations remain unchanged.
If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment.
Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
Mathematicians are born, not made.
Mathematicians do not study objects, but relations between objects.
