There is an astonishing imagination, even in the science of mathematics... We repeat, there was far more imagination in the head of Archimedes than in that of Homer.

The mere formulation of a problem is far more essential than its solution, which may be merely a matter of mathematical or experimental skills. To raise new questions, new possibilities, to regard old problems from a new angle requires creative imagination and marks real advances in science.

Today’s scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.

As far as the laws of mathematics refer to reality, they are not certain and as far as they are certain, they do not refer to reality.

Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.

If a man's wit be wandering, let him study the mathematics.