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— Richard P. Feynman"Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it."
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A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river.
— James Joseph Sylvester
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If there is one thing in mathematics that fascinates me more than anything else (and doubtless always has), it is neither "number" nor "size", but always form. And among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other and continues to fascinate me, is the structure hidden in mathematical things.
— Alexander Grothendieck
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