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Richard P. Feynman
“I have a friend who's an artist and has sometimes taken a view which I don't agree with very well. He'll hold up a flower and say "look how beautiful it is," and I'll agree. Then he says "I as an artist can see how beautiful this is but you as a scientist take this all apart and it becomes a dull thing," and I think that he's kind of nutty. First of all, the beauty that he sees is available to other people and to me too, I believe. Although I may not be quite as refined aesthetically as he is ... I can appreciate the beauty of a flower. At the same time, I see much more about the flower than he sees. I could imagine the cells in there, the complicated actions inside, which also have a beauty. I mean it's not just beauty at this dimension, at one centimeter; there's also beauty at smaller dimensions, the inner structure, also the processes. The fact that the colors in the flower evolved in order to attract insects to pollinate it is interesting; it means that insects can see the color. It adds a question: does this aesthetic sense also exist in the lower forms? Why is it aesthetic? All kinds of interesting questions which the science knowledge only adds to the excitement, the mystery and the awe of a flower. It only adds. I don't understand how it subtracts.”
Richard P. Feynman, The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman

John von Neumann
“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.”
John von Neumann

Henri Poincaré
The scientist does not study nature because it is useful to do so. He studies it because he takes pleasure in it, and he takes pleasure in it because it is beautiful. If nature were not beautiful it would not be worth knowing, and life would not be worth living. I am not speaking, of course, of the beauty which strikes the senses, of the beauty of qualities and appearances. I am far from despising this, but it has nothing to do with science. What I mean is that more intimate beauty which comes from the harmonious order of its parts, and which a pure intelligence can grasp.”
Henri Poincaré, Science and Method

Henri Poincaré
“Is is by logic that we prove, but by intuition that we discover.”
Henri Poincaré

Henri Poincaré
“To doubt everything and to believe everything are two equally convenient solutions; each saves us from thinking.”
Henri Poincaré, The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method

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