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"The definition of a good mathematical problem is the mathematics it generates rather than the problem itself."
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"I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way."
"No more Lastrygonians. Ella fluttered down and landed next to them. "Six minus six is zero. Spears are good for subtraction, yep."
"Few rounds.... I am damn good mathematician!2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998."
"The square root of I is I."
"The infinite in mathematics is alway unruly unless it is properly treated."
""Obvious" is the most dangerous word in mathematics."
"In mathematics we have long since drawn the rein, and given over a hopeless race."
"He calculated the number of bricks in the wall, first in twos and then in tens and finally in sixteens. The numbers formed up and marched past his brain in terrified obedience. Division and multiplication were discovered. Algebra was invented and provided an interesting diversion for a minute or two. And then he felt the fog of numbers drift away, and looked up and saw the sparkling, distant mountains of calculus."
"The study of mathematics, like the Nile, begins in minuteness but ends in magnificence."
Explore more quotes by Andrew Wiles
"Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century."
"I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal."
"I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine."
"I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years."
"I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream."
"I'm sure that some of them will be very hard and I'll have a sense of achievement again, but nothing will mean the same to me - there's no other problem in mathematics that could hold me the way that this one did."
"It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day."
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