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"I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about."
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"The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes."

"The infinite in mathematics is alway unruly unless it is properly treated."

"It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer."

"You can not apply mathematics as long as words still becloud reality."

"I went to Princeton from Amherst, where I split my interests between mathematics and philosophy."

"The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing."

"I was so pleased to be at university to do physics and mathematics."

"We are servants rather than masters in mathematics."

"I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account."

"Mathematics allows for no hypocrisy and no vagueness."
Explore more quotes by Andrew Wiles

"I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream."

"We've lost something that's been with us for so long, and something that drew a lot of us into mathematics. But perhaps that's always the way with math problems, and we just have to find new ones to capture our attention."

"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."

"I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future."

"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."

"There's also a sense of freedom. I was so obsessed by this problem that I was thinking about if all the time - when I woke up in the morning, when I went to sleep at night, and that went on for eight years."
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