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

A good problem is something you don't know how to solve. That's what makes it a good puzzle and a good opportunity.

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

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

It is the story that matters, not just the ending.

No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a "mixed number " while 5/2 is an "improper fraction." They're EQUAL for crying out loud. They are the exact same numbers and have the exact same properties. Who uses such words outside of fourth grade?

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