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"Geometry is not true, it is advantageous."
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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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Personal Development
"Projective geometry is all 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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"Geometry is not true, it is advantageous."
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Personal Development
"The early study of Euclid made me a hater of geometry."
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"Need we add that mathematicians themselves are not infallible?"
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
"Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence."
Earth
"If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing."
Deep
"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."
Geometry
"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority."
Infinite
"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 far better to foresee even without certainty than not to foresee at all."
Certainty
"The mind uses its faculty for creativity only when experience forces it to do so."
Experience
"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations."
Mind
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