Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.
Each problem that I solved became a rule, which served afterwards to solve other problems.
Mathematics is the science which draws necessary conclusions.
Mathematics is no more computation than typing is literature.
As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things.
The real voyage of discovery consists not in seeking new landscapes, but in having new eyes.
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.
Mathematics is not only real, but it is the only reality.
The book of nature is written in the language of mathematics.
"Can you do Addition?" the White Queen said. "What's one and one and one and one and one and one and one and one and one and one?" "I don't know," said Alice. "I lost count." "She can't do Addition," the Red Queen interrupted.
Can you do Division? Divide a loaf by a knife - what's the answer to that?
There are only two kinds of math books: Those you cannot read beyond the first sentence, and those you cannot read beyond the first page.
It is impossible to be a mathematician without being a poet in soul.
Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different.
Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.
In mathematics the art of proposing a question must be held of higher value than solving it.
Mathematics is the queen of the sciences.
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them.
Geometry is the science of correct reasoning on incorrect figures.
Number rules the universe.
Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it.
Obvious is the most dangerous word in mathematics.
It is not enough to have a good mind. The main thing is to use it well.
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