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Andrew Wiles Quotes & Sayings

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30 entries tagged including 1 subtopics.
Last updated Sep 2021

Andrew Wiles Topics

QUOTES

Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve.

2 Likes

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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.

1 Likes

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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There are proofs that date back to the Greeks that are still valid today.

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Then when I reached college I realized that many people had thought about the problem during the 18th and 19th centuries and so I studied those methods.

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The only way I could relax was when I was with my children.

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The greatest problem for mathematicians now is probably the Riemann Hypothesis.

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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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That particular odyssey is now over. My mind is now at rest.

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Pure mathematicians just love to try unsolved problems - they love a challenge.

1 Likes

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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.

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Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.

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Just because we can't find a solution it doesn't mean that there isn't one.

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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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It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.

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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.

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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.

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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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I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal.

1 Likes

I realized that anything to do with Fermat's Last Theorem generates too much interest.

0 Likes

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