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Mathematicians (page 6)
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"A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street"
David Hilbert, Mathematician
"One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it"
David Hilbert, Mathematician
"How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments"
David Hilbert, Mathematician
"Science makes no pretension to eternal truth or absolute truth"
E. T. Bell, Mathematician
""Obvious" is the most dangerous word in mathematics"
E. T. Bell, Mathematician
"Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions"
E. T. Bell, Mathematician
"A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas"
G. H. Hardy, Mathematician
"The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law"
Henri Poincare, Mathematician
"If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living"
Henri Poincare, Mathematician
"How is an error possible in mathematics?"
Henri Poincare, Mathematician
"The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic"
Carl Friedrich Gauss, Mathematician
"I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by nor for the human intellect"
Carl Friedrich Gauss, Mathematician
"To call in the statistician after the experiment is done may be no more than asking him to perform a post-mortem examination: he may be able to say what the experiment died of"
Ronald Fisher, Mathematician
"The tendency of modern scientific teaching is to neglect the great books, to lay far too much stress upon relatively unimportant modern work, and to present masses of detail of doubtful truth and questionable weight in such a way as to obscure principles"
Ronald Fisher, Mathematician
"Natural selection is a mechanism for generating an exceedingly high degree of improbability"
Ronald Fisher, Mathematician
"It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful with such statements, as they tend to sound pretty silly in 5 years"
John von Neumann, Mathematician
"In mathematics, the art of proposing a question must be held of higher value than solving it"
Georg Cantor, Mathematician
"The greatest problem for mathematicians now is probably the Riemann Hypothesis"
Andrew Wiles, Mathematician
"But the beauty of Einstein's equations, for example, is just as real to anyone who's experienced it as the beauty of music. We've learned in the 20th century that the equations that work have inner harmony"
Edward Witten, Mathematician
"One can imagine that the ultimate mathematician is one who can see analogies between analogies"
Stefan Banach, Mathematician
"Well, as you know, there are 24 hours in every day. And if that's not enough, you've always got the nights!"
Ronald Graham, Mathematician
"Math is sometimes called the science of patterns"
Ronald Graham, Mathematician
"Having those extra dimensions and therefore many ways the string can vibrate in many different directions turns out to be the key to being able to describe all the particles that we see"
Edward Witten, Mathematician
"On the other hand, we don't understand the theory too completely, and because of this fuzziness of spacetime, the very concept of spacetime and spacetime dimensions isn't precisely defined"
Edward Witten, Mathematician
"I thank God for not making me a computer scientist"
Daniel J. Bernstein, Mathematician
"From a security perspective, if you're connected, you're screwed"
Daniel J. Bernstein, Mathematician
"The most important function of a bibliographic entry is to help the reader obtain a copy of the cited work"
Daniel J. Bernstein, Mathematician
"Just because it's automatic doesn't mean it works"
Daniel J. Bernstein, Mathematician
"Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth"
Marston Morse, Mathematician
"The more we get out of the world, the less we leave, and in the long run we shall have to pay our debts at a time that may be very inconvenient for our own survival"
Norbert Wiener, Mathematician
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