Mathematics Is not a spectator sport. The only way to learn mathematics is to do mathematics.

I think, therefore I am.

Don't be afraid to take an unfamiliar path.  Sometimes they're the ones that lead you to the best places.

Knowledge is of no value unless you put it into practice.

I have not failed, I've just found 10,000 ways that won't work.

We all have two lives. The second begins when we realise we only have one. 

Work ethic is important, because, unlike intelligence, athleticism, or charisma, or any natural attribute, it’s a choice.

Don’t hang your targets after you’re done shooting.

No matter how bad it gets, you’re still way ahead of those who haven’t even started.

You're not in competition with anyone but yourself. Outdo your past, not other people.

Pure mathematics is in its way, the poetry of logical ideas.

Each day is an opportunity to improve. Aim to be that little bit better than yesterday and better tomorrow than today.

We learn more from failure than we do from success.

The power of reflection is the most powerful skill you’ll learn.

A hero is no braver than an ordinary man, but he is braver five minutes longer.