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Who would not rather have the fame of Archimedes than that of his conqueror Marcellus?

It is not certain that everything is uncertain.

Where there is matter, there is geometry.

No employment can be managed without arithmetic, no mechanical invention without geometry.

Mathematics is the queen of science, and arithmetic the queen of mathematics.

Obvious is the most dangerous word in mathematics.

The moving power of mathematical invention is not reasoning but imagination.

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.

Mathematics education is much more complicated than you expected, even though you expected it to be more complicated than you expected.

Mathematics began to seem too much like puzzle solving. Physics is puzzle solving, too, but of puzzles created by nature, not by the mind of man.

I was x years old in the year x2.

Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

My two Jamaican cousins ... were studying engineering. 'That's where the money is,' Mom advised. ... I was to be an engineering major, despite my allergy to science and math. ... Those who preceded me at CCNY include the polio vaccine discoverer, Dr. Jonas Salk ... and eight Nobel Prize winners. ... In class, I stumbled through math, fumbled through physics, and did reasonably well in, and even enjoyed, geology. All I ever looked forward to was ROTC._x000D__x000D_Autobiographical comments on his original reason for going to the City College of New York, where he shortly turned to his military career.

To be a scholar of mathematics you must be born with talent, insight, concentration, taste, luck, drive and the ability to visualize and guess.

In my opinion a mathematician, in so far as he is a mathematician, need not preoccupy himself with philosophy-an opinion, moreover, which has been expressed by many philosophers.

We lay down a fundamental principle of generalization by abstraction: The existence of analogies between central features of various theories implies the existence of a general theory which underlies the particular theories and unifies them with respect to those central features.

Dear Math, please grow up and solve your own problems. I'm tired of solving them for you._x000D__x000D_Always remember that you are absolutely unique. Just like everyone else.

The grand thing is to be able to reason backwards.

The greatest discoveries of science have always been those that forced us to rethink our beliefs about the universe and our place in it.

We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years.

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