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"What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?"
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"The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics."

"Elegance is usually confused with superficiality, fashion, lack of depth. This is a serious mistake: human beings need to have elegance in their actions and in their posture because this word is synonymous with good taste, amiability, equilibrium and harmony."

"Elegance is a glowing inner peace. Grace is an ability to give as well as to receive and be thankful. Mystery is a hidden laugh always ready to surface! Glamour only radiates if there is a sublime courage & bravery within: glamour is like the moon, it only shines because the sun is there."

"We must never confuse elegance with snobbery."

"If mathematics is to be understood widely, we need to emphasise its elegance and its applications. Sometimes it seems that universities want to emphasise how difficult it is!"
Explore more quotes by Henri Poincare

"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."

"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."

"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."

"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."

"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."

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