Андре Вейль цитаты

Андре́ Вейль — французский математик.

✵ 6. Май 1906 – 6. Август 1998
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Андре Вейль: Цитаты на английском языке

“Every mathematician worthy of the name has experienced the state of lucid exaltation in which one thought succeeds another as if miraculously.”

The Apprenticeship of a Mathematician (1992)
Контексте: Every mathematician worthy of the name has experienced the state of lucid exaltation in which one thought succeeds another as if miraculously. This feeling may last for hours at a time, even for days. Once you have experienced it, you are eager to repeat it but unable to do it at will, unless perhaps by dogged work.

“An important point is that the p-adic field, or respectively the real or complex field, corresponding to a prime ideal, plays exactly the role, in arithmetic, that the field of power series in the neighborhood of a point plays in the theory of functions: that is why one calls it a local field.”

as translated by Martin H. Krieger "A 1940 letter of André Weil on analogy in mathematics." http://www.ams.org/notices/200503/fea-weil.pdf Notices of the AMS 52, no. 3 (2005) pp. 334–341, quote on p. 340

“God exists since mathematics is consistent, and the Devil exists since we cannot prove it.”

As quoted in Mathematical Circles Adieu (Boston 1977) by H Eves

“Alexandre Grothendieck was very different from Weil in the way he approached mathematics: Grothendieck was not just a mathematician who could understand the discipline and prove important results— he was a man who could create mathematics. And he did it alone.”

[Amir D. Aczel, The Artist and the Mathematician, http://books.google.com/books?id=fRCH-at7wgYC&pg=PA53, 29 April 2009, Basic Books, 978-0-7867-3288-3, 54]
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