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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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"I am incapable of conceiving infinity, and yet I do not accept finity."
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"There's never a beginning for eternity."
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"What you see, but can't see over is as good as infinite."
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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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"If you divide something that is essentially one, you will end up with imaginary infinite numbers."
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"Infinity exist unfortnately what will happen if we accept it??After all numbers are taken what happens??We will start with Omega+1 Then Omega+Omega+1... Think on this, this is the infinitive road, I gave it to you but what you will do?"
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"If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all."
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"To hear for the duration of a heartbeat the universe and the totality of life in its mysterious, innate harmony."
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"The greatest problem for mathematicians now is probably the Riemann Hypothesis."
Mathematicians
"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."
Time
"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."
Time
"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."
Achievement
"That particular odyssey is now over. My mind is now at rest."
Mind
"There are proofs that date back to the Greeks that are still valid today."
Today
"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."
Hope
"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."
Mathematics
"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."
Life
"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."
Work
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