The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of ….

The real satisfaction from mathematics is in learning from others and sharing with others..

Math is really about the human mind, about how people can think effectively, and why curiosity is quite a good guide..

Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for th….

Mathematics is much less formally complete and precise than computer programs..

Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on or motivated to d….

We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing….

I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that….

As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas fr….

Mathematics is an art of human understanding..

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding..

You don't see what you're seeing until you see it but when you do see it, it lets you see many other things..