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Henri Poincare

What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?

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Thus, they are free to replace some objects by others so long as the relations remain unchanged.

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

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If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living.

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

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

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A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.

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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.

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The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.

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Henri Poincare
Henri Poincare