Erdős knows about more problems than anybody else, and he not only knows about various problems and conjectures, but he also knows the tastes of various mathematicians. So if I get a letter from him giving me three of his conjectures and two of his problems, then it's sure that these are exactly the kind of conjectures and problems I'm interested in, and these are exactly the kind of questions I may be able to answer.
Of course, this applies not only to me, but to everybody else. So Erdős has an amazing ability to match problems with people. Which is why so many mathematicians benefit from his presence. Every letter is likely to inspire you to do some work, or every phone call will give you some problems you are interested in.
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Béla Bollobás, of Trinity College, University of Cambridge in N Is a Number: A Portrait of Paul Erdős (1993)Paul Erdos
From childhood we are trained to have problems. When we are sent to school, we have to learn how to write, how to read, and all the rest of it. How to write becomes a problem to the child. Please follow this carefully. Mathematics becomes a problem, history becomes a problem, as does chemistry. So the child is educated, from childhood, to live with problems — the problem of God, problem of a dozen things. So our brains are conditioned, trained, educated to live with problems. From childhood we have done this. What happens when a brain is educated in problems? It can never solve problems; it can only create more problems. When a brain that is trained to have problems, and to live with problems, solves one problem, in the very solution of that problem, it creates more problems. From childhood we are trained, educated to live with problems and, therefore, being centred in problems, we can never solve any problem completely. It is only the free brain that is not conditioned to problems that can solve problems. It is one of our constant burdens to have problems all the time. Therefore our brains are never quiet, free to observe, to look. So we are asking: Is it possible not to have a single problem but to face problems? But to understand those problems, and to totally resolve them, the brain must be free.
Jiddu Krishnamurti
You're basing your laws and your whole outlook on natural life on mythology. It won't work. That's why you have all these problems in the world. Name them: India, Pakistan, Ireland. Name them-all these problems. They're all religious problems.
Jack Kevorkian
If you rely only on experience, you’ll simply keep applying old solutions to new problems. I know a lot of people who feel they have an identity only when they’re talking about their problems. That way, they exist, because their problems are linked to what they judge to be their history.
Paulo Coelho
It is with Bernhard Riemann's work that we finally have the mathematical glasses to explore such worlds of the mind. And now my journey through the abstract world of 20th century mathematics has revealed that maths is the true language that the universe is written in. They key to understanding the world around us. Mathematicians aren't motivated by money and material gain, or even by practical applications of their work. For us it's the glory of solving one of the great unsolved problems that have outwitted previous generations of mathematicians. David Hilbert was right; it’s the unsolved problems of mathematics which make it a living subject. Which obsess each new generation of mathematicians. Despite all the things we've discovered over the last 7 millennia, there are still many things we don't understand. And its Hilbert’s call of "We must know, we will know" which drives mathematics.
Marcus du Sautoy
I thought that young people had more problems than old people, and I hoped I could last until I was older so I wouldn't have all those problems. Then I looked around and saw that everybody who looked young had young problems and that everybody who looked old had old problems. The "old" problems to me looked easier to take than the "young" problems. So I decided to go gray so nobody would know now old I was and I would look younger to them than how old they thought I was. I would gain a lot by going gray: (1) I would have old problems, which were easier to take than young problems, (2) everyone would be impressed by how young I looked, and (3) I would be relieved of the responsibility of acting young—I could occasionally lapse into eccentricity or senility and no one would think anything of it because of my gray hair. When you've got gray hair, every move you make seems "young" and "spry," instead of just being normally active. It's like you're getting a new talent. So I dyed my hair gray when I was about twenty-three or twenty-four.
Andy Warhol
Erdos, Paul
Erhard, Werner
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