A Quote by Heinz-Otto Peitgen

When we talk about the impact inside mathematics, and applications in the sciences, [Mandelbrot] is one of the most important figures of the last 50 years.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
I started off thinking that maybe the social sciences ought to have the kinds of mathematics that the natural sciences had. That works a little bit in economics because they talk about costs, prices and quantities of goods.
I am convinced that 100 years from now, people will talk about Elliott Carter as one of the most important figures in the second half of 20th-century music.
There are four great sciences, without which the other sciences cannot be known nor a knowledge of things secured ... Of these sciences the gate and key is mathematics ... He who is ignorant of this [mathematics] cannot know the other sciences nor the affairs of this world.
I think that speaking is the most important thing we can do, but let's talk about what it means to speak effectively. We can talk in an echo chamber to our friends on social media and otherwise - and that's important, that's how we encourage and educate one another.But speech that leads to action is critical. And it doesn't sound very sexy, but one of the most important ways to speak in a way that makes an impact is to vote. Speaking at the ballot box is the most important place that we speak.
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.
I think it is widely agreed that Carl Steinitz, over the 50 years he taught at Harvard, has been one of the most important figures in influencing the theory and practice of landscape architecture and the application of computer technology to planning.
What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.
The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
Anybody can find infinite Mandelbrot figures in his navel.
So I think that is from the European perspective, for the European future, this engagement can be one of the most important and effective decisions in the last 50 years maybe.
Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.
I had invited 50 or 60 peers and friends, most of whom were parents, to see the film [Trust], and I asked about the last scene. It was interesting because it was split right down the middle, 50/50. About half the audience wanted it to end with the very emotional scene between Clive and Liana, and that feeling of realization and catharsis. And, the other half were adamant about keeping that last scene.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
When the world is mad, a mathematician may find in mathematics an incomparable anodyne. For mathematics is, of all the arts and sciences, the most austere and the most remote, and a mathematician should be of all men the one who can most easily take refuge where, as Bertrand Russell says, "one at least of our nobler impulses can best escape from the dreary exile of the actual world."
Probably the smartest president we've had in terms of I.Q. in the last 50 years was Jimmy Carter, and I think he is the worst president of the last 50 years.
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