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Vladimir Voïevodski citations

Vladimir Aleksandrovitch Voïevodski , souvent orthographié Voevodsky suivant la transcription américaine, né le 4 juin 1966 à Moscou et mort le 30 septembre 2017, est un mathématicien russe connu pour avoir formulé la cohomologie motivique, démontré les conjectures de Milnor et de Bloch-Kato, créé les fondations univalentes et la théorie des types homotopique. Wikipedia  

✵ 4. juin 1966 – 30. septembre 2017
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Vladimir Voïevodski: 4   citations 0   J'aime

Vladimir Voïevodski: Citations en anglais

“Today we face a problem that involves two difficult to satisfy conditions. On the one hand we have to find a way for computer assisted verification of mathematical proofs. This is necessary, first of all, because we have to stop the dissolution of the concept of proof in mathematics. On the other hand, we have to preserve the intimate connection between mathematics and the world of human intuition. This connection is what moves mathematics forward and what we often experience as the beauty of mathematics.”

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Vladimir Voevodsky

UniMath by Vladimir Voevodsky, Heidelberg Laureate Forum, Sept. 22, 2016, Heidelberg https://www.math.ias.edu/vladimir/sites/math.ias.edu.vladimir/files/2016_09_22_HLF_Heidelberg.pdf p. 3

“Mathematical research currently relies on a complex system of mutual trust based on reputations. By the time Simpson's paper appeared, both Kapranov and I had strong reputations. Simpson's paper created doubts in our result, which led to it being unused by other researchers, but no one came forward and challenged us on it.”

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Vladimir Voevodsky

Univalent Foundations, Vladimir Voevodsky, IAS, March 26, 2014 http://www.math.ias.edu/vladimir/files/2014_IAS.pdf p. 10

“A technical argument by a trusted author, which is hard to check and looks similar to arguments known to be correct, is hardly ever checked in detail”

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Vladimir Voevodsky

Univalent Foundations, Vladimir Voevodsky, IAS, March 26, 2014 http://www.math.ias.edu/vladimir/files/2014_IAS.pdf p. 8

“It soon became clear that the only real long-term solution to the problems that I encountered is to start using computers in the verification of mathematical reasoning.”

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Vladimir Voevodsky

Univalent Foundations, Vladimir Voevodsky, IAS, March 26, 2014 http://www.math.ias.edu/vladimir/files/2014_IAS.pdf p. 13

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