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#maths

37 messages14 participants6 messages aujourd’hui

"Those long chains composed of very simple and easy reasonings, which geometers customarily use to arrive at their most difficult demonstrations, had given me occasion to suppose that all the things which can fall under human knowledge are interconnected in the same way. And I thought that, provided we refrain from accepting anything as true which is not, and always keep to the order required for deducing one thing from another[...]"– René Descartes (1596-1650)
#quote #mathematics #math #maths

"Ces longues chaînes de raisons, toutes simples et faciles, dont les géomètres ont coutume de se servir pour parvenir à leurs plus difficiles démonstrations, m’avaient donné occasion de m’imaginer que toutes les choses qui peuvent tomber sous la connaissance des hommes s'entresuivent en même façon, et que, pourvu seulement qu’on s'abstienne d’en recevoir aucune pour vraie qui ne le soit [...]" – René Descartes (1596-1650)
#citation #mathématiques #maths #math

Brilliant ☺️

"“We were all shocked, absolutely. I don’t remember ever seeing anything like that,” said Itamar Oliveira ... who has spent the past two years trying to prove that the conjecture was true. In her paper, Cairo showed that it’s false. [...]

So does Cairo herself, who found her way to a proof after years of homeschooling in isolation and an unorthodox path through the math world."

quantamagazine.org/at-17-hanna

Quanta Magazine · At 17, Hannah Cairo Solved a Major Math Mystery | Quanta MagazineAfter finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture.