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Benoit Mandelbrot

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There is no single rule that governs the use of geometry. I don't think that one exists.

 
Benoit Mandelbrot

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Working together, we can build a world in which the rule of law — not the rule of force — governs relations between states. A world in which leaders respect the rights of their people, and nations seek peace, not destruction or domination. And neither we nor anyone else should live in fear ever again.

 
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The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.

 
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There exists, I grant you, a clinical depression, upon which certain remedies occasionally have effect; but there exists another kind, a melancholy underlying our very outbursts of gaiety and accompanying us everywhere, without leaving us alone for a single moment. And there is nothing that can rid us of this lethal omnipresence: the self forever confronting itself.

 
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The worst that can happen under monarchy is rule by a single imbecile, but democracy often means the rule by an assembly of three or four hundred imbeciles.

 
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If, in each hour, a man could learn a single fragment of some branch of knowledge, a single rule of some mechanical art, a single pleasing story or proverb (the acquisition of which would require no effort), what a vast stock of learning he might lay by. Seneca is therefore right when he says: "Life is long, if we know how to use it." It is consequently of importance that we understand the art of making the very best use of our lives.

 
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