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.
Andrew Wiles
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
For mathematics education and the world of problem solving it marked a line of demarcation between two eras, problem solving before and after Polya.
George Polya
To politicians, solved problems represent a dire threat — of unemployment and poverty. That's why no problem ever tackled by the government has ever been solved. What they want is lots of problems they can promise to solve, so that we'll keep electing them — or letting them keep their jobs in a bureaucracy metastasizing like cancer.
L. Neil Smith
Some of you young folks been saying to me, "Hey Pops, what you mean 'What a wonderful world'? How about all them wars all over the place? You call them wonderful? And how about hunger and pollution? That aint so wonderful either." Well how about listening to old Pops for a minute. Seems to me, it aint the world that's so bad but what we're doin' to it. And all I'm saying is, see, what a wonderful world it would be if only we'd give it a chance. Love baby, love. That's the secret, yeah. If lots more of us loved each other, we'd solve lots more problems. And then this world would be better. That's wha' ol' Pops keeps saying.
Louis Armstrong
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
Wiles, Andrew
Wilhelm II of Germany
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