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Quote by Michael Atiyah

“I think it is said that Gauss had ten different proofs for the law of quadratic reciprocity. Any good theorem should have several proofs, the more the better. For two reasons: usually, different proofs have different strengths and weaknesses, and they generalise in different directions - they are not just repetitions of each other.”

Quote by Michael Atiyah

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Michael Atiyah
Michael Atiyah

Michael Atiyah, born on April 22, 1929, is a renowned mathematician from the United Kingdom. He has made significant contributions to various fields of mathematics, particularly in topology, geometry, and mathematical physics. Atiyah is known for his research in K-theory, index theorems, and geometric analysis. more

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“The man who has learned that three plus one are four doesn't have to go through a proof of that assertion with coins, or dice, or chess pieces, or pencils. He knows it, and that's that. He cannot conceive a different sum. There are mathematicians who say that three plus one is a tautology for four, a different way of saying "four" ... If three plus one can be two, or fourteen, then reason is madness.”

“And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress could have been made. Correspondence and succession, the two principles that permeate all mathematics - nay, all realms of exact thought - are woven into the very fabric of our number system.”