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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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"There's never a beginning for eternity."
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Personal Development
"The most powerful forces in the universe are infinite. Love, imagination, intuition, stillness. Then why should we define our soul?"
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Personal Development
"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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Personal Development
"To hear for the duration of a heartbeat the universe and the totality of life in its mysterious, innate harmony."
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Personal Development
"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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Personal Development
"The Library is a sphere whose exact centre is any one of its hexagons and whose circumference is inaccessible."
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Personal Development
"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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"The earth was a grave: our life was lent to it by its elements and had to be returned: a time came when the simple elements seemed to long for release from the complicated forms of life, when every element of every cell said, 'Enough!' The planet was our mother and our burial ground. No wonder the human spirit wished to leave. Leave this prolific belly. Leave also this great tomb. Passion for the infinite caused by the terror, by timor mortis, needed material appeasement."
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Personal Development
"L'Éternité, c'est long ... surtout vers la fin."
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Personal Development
"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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"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
"Pure mathematicians just love to try unsolved problems - they love a challenge."
Love
"That particular odyssey is now over. My mind is now at rest."
Mind
"But the best problem I ever found, I found in my local public library."
Public
"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."
Infinity
"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
"Just because we can't find a solution it doesn't mean that there isn't one."
Solution
"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 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
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