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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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"The most powerful forces in the universe are infinite. Love, imagination, intuition, stillness. Then why should we define our soul?"
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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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"I owe my first inkling of the problem of infinity to a large biscuit tin that was a source of vertiginous mystery during my childhood."
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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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"The Library is a sphere whose exact centre is any one of its hexagons and whose circumference is inaccessible."
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"If you divide something that is essentially one, you will end up with imaginary infinite numbers."
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"L'Éternité, c'est long ... surtout vers la fin."
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"We can conceive of eternity because we cannot conceive of a cessation of time. We can conceive of infinite space because we cannot conceive of so much matter that our imagination will not stand upon the farthest star and see infinite space beyond."
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"There's never a beginning for eternity."
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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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"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."
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
"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
"Pure mathematicians just love to try unsolved problems - they love a challenge."
Love
"I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream."
Life
"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."
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."
Achievement
"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."
Living
"There are proofs that date back to the Greeks that are still valid today."
Today
"That particular odyssey is now over. My mind is now at rest."
Mind
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