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"Geometry is not true, it is advantageous."
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"The early study of Euclid made me a hater of geometry."
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Personal Development


"It is hard to convince a high-school student that he will encounter a lot of problems more difficult than those of algebra and geometry."
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"Projective geometry is all geometry."
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"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."
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"Geometry is not true, it is advantageous."
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"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority."
Infinite

"Mathematicians do not study objects, but relations between objects."
Mathematicians

"One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics."
History

"The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law."
Knowledge

"The mind uses its faculty for creativity only when experience forces it to do so."
Experience

"It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details."
Balance

"A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance."
Cause

"It is through science that we prove, but through intuition that we discover."
Science

"Mathematicians are born, not made."
Mathematicians

"A small error in the former will produce an enormous error in the latter."
Error
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