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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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"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

"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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"Geometry is not true, it is advantageous."
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"No more than these machines need the mathematician know what he does."
Machine

"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority."
Infinite

"Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house."
Science

"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

"Facts do not speak."
Fact

"If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws."
Law

"To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with the necessity of reflection."
Doubt

"Thought is only a flash between two long nights, but this flash is everything."
Thought

"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

"Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination."
Ideas
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