Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.