Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary.

[Math] curriculum is obsessed with jargon and nomenclature seemingly for no other purpose than to provide teachers with something to test the students on.

Mathematics is the purest of the arts, as well as the most misunderstood.

The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along I just couldn't see it. And now I can! This is really what keeps me in the math game- the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods.

Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.

Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them.

The only thing I am interested in using mathematics for is to have a good time and to help others do the same.