Why don't we want our children to learn to do mathematics? Is it that we don't trust them, that we think it's too hard? We seem to feel that they are capable of making arguments and coming to their own conclusions about Napoleon. Why not about triangles?

Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.

Calculators can only calculate - they cannot do mathematics.

The real voyage of discovery consists not in seeking new landscapes, but in having new eyes.

Where there is matter, there is geometry.

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

Mathematics rightly viewed possesses not only truth but supreme beauty.

I do not believe in the gifted. If [the students] have ganas, I can make them do it.

What would life be without arithmetic, but a scene of horrors?

The creator of the universe works in mysterious ways. But he uses a base ten counting system and likes round numbers.

Mathematics should be fun.

There's no reason to stereotype yourself. Doing math is like going to the gym - it's a workout for your brain and it makes you smarter.

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method, ...

If there's no struggle, there's no progress.

Logic is invincible, because in order to combat logic it is necessary to use logic.

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.

Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity.

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

Number rules the universe.

I'm sorry to say that the subject I most disliked was mathematics. I have thought about it. I think the reason was that mathematics leaves no room for argument. If you made a mistake, that was all there was to it.

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.

By the end of the first month of the 1995 session, each senator will have made more money than any person who works 40 hours a week at minimum wage for the entire year.

I recall once saying that when I had given the same lecture several times I couldn't help feeling that they really ought to know it by now.

We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road; we want to understand the idea of the proof, the deeper context.

There are three kinds of lies: lies, damned lies, and statistics.

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