“Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package.”
― The Man Who Knew Infinity: A Life of the Genius Ramanujan
― The Man Who Knew Infinity: A Life of the Genius Ramanujan
“But in the present century, thanks in good part to the influence of Hilbert, we have come to see that the unproved postulates with which we start are purely arbitrary. They must be consistent, they had better lead to something interesting.”
― A istory Of Geometrical Metods
― A istory Of Geometrical Metods
“Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.”
― A Mathematician's Apology
― A Mathematician's Apology
“When {Born and Heisenberg and the Göttingen theoretical physicists} first discovered matrix mechanics they were having, of course, the same kind of trouble that everybody else had in trying to solve problems and to manipulate and to really do things with matrices. So they had gone to Hilbert for help and Hilbert said the only time he had ever had anything to do with matrices was when they came up as a sort of by-product of the eigenvalues of the boundary-value problem of a differential equation. So if you look for the differential equation which has these matrices you can probably do more with that. They had thought it was a goofy idea and that Hilbert didn't know what he was talking about. So he was having a lot of fun pointing out to them that they could have discovered Schrödinger’s wave mechanics six month earlier if they had paid a little more attention to him.”
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“The place had enormous possibilities. He realized that at once. The stream, of course, was perfect for sailing toy boats, for skipping stones, and, in the event of failing inspiration, for falling into. Several of the trees appeared to have been specifically designed for climbing, and one huge, white old birch overhanging the stream promised the exhilarating combination of climbing a tree and falling into the water, all at one time.”
― Guardians of the West
― Guardians of the West
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