Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.

In order to solve this differential equation you look at it until a solution occurs to you.

It is better to solve one problem five different ways, than to solve five problems one way.

Beauty in mathematics is seeing the truth without effort.

Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice.

It may be more important in the mathematics class how you teach than what you teach.

If there is a problem you can't solve, then there is an easier problem you can't solve: find it.

An idea which can be used only once is a trick. If one can use it more than once it becomes a method.

Geometry is the science of correct reasoning on incorrect figures.

Mathematics is not a spectator sport!

Look around when you have got your first mushroom or made your first discovery: they grow in clusters.

A man may follow vanity as truly in the counting-house as in the theatre. If he be spending his life in amassing wealth, he passes his days in a vain show.

Indeed optimists rather than defeatists have produced the results for which serious genealogical research is best known.

I'm definitely the kind of person to wear underwear all the time.

I just do my thing and try each show to be more honest about why I am and who I am. It's quite tricky and actually nerve-racking to do that. It's kind of a happy train wreck.

I'm interested in glorifying something that we in the world would say doesn't deserve being glorified. Something that's forgotten, focused on as though it were some sort of sacred object.

To lead, one must follow.

The richest most meaningful stories are found in small places: made, carried, crafted, told, and retold by apparently unimportant people.

It is easy to take away the world that we think is so permanent and reliable.

The bible says that all people, not just believers, possess part of the image of God; that is why murder and abortion are wrong.

Well, I started out as a musician, so when I was about 10 years old, I was already in a band.