The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.

Science without religion is lame, religion without science is blind.

The simplest schoolboy is now familiar with truths for which Archimedes would have sacrificed his life.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.

Alice laughed. 'There's no use trying,' she said. 'One can't believe impossible things.' I daresay you haven't had much practice,' said the Queen. 'When I was your age, I always did it for half-an-hour a day. Why, sometimes I've believed as many as six impossible things before breakfast. There goes the shawl again!

Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different.

Young man, in mathematics you don't understand things. You just get used to them.

Anyone who cannot cope with mathematics is not fully human. At best, he is a tolerable subhuman who has learned to wear his shoes, bathe, and not make messes in the house.

The pursuit of mathematics is a divine madness of the human spirit.

Mathematics rightly viewed possesses not only truth but supreme beauty.

Life is good for only two things, discovering mathematics and teaching mathematics.

Beauty is the first test: there is no permanent place in the world for ugly mathematics.

Mathematics is the art of giving the same name to different things.

The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.

A mathematician is a blind man in a dark room looking for a black cat which isn't there.

Obvious is the most dangerous word in mathematics.

I have hardly ever known a mathematician who was capable of reasoning.

We never know what we are talking about.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

The mathematician's patterns, like the painter's or the poet's, must be beautiful.

But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.

Twice two makes four seems to me simply a piece of insolence. Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting. I admit that twice two makes four is an excellent thing, but if we are to give everything its due, twice two makes five is sometimes a very charming thing too.

Can you do Division? Divide a loaf by a knife - what's the answer to that?

If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics.

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