Best 69 quotes in «mathematician quotes» category

Et peut-être la posterité me saura gré de lui avoir fait connaître que les Anciens n’ont pas tout su. (And perhaps, posterity will thank me for having shown that the ancients did not know everything.)

Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels no interest at all in the physical world; but, in so far as he succumbs to this temptation, he will be abandoning his purely mathematical position.

God is a pure mathematician!' declared British astronomer Sir James Jeans. The physical Universe does seem to be organised around elegant mathematical relationships. And one number above all others has exercised an enduring fascination for physicists: 137.0359991.... It is known as the fine-structure constant and is denoted by the Greek letter alpha (α).

Few rounds.... I am damn good mathematician! 2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998.

I entered Princeton University as a graduate student in 1959, when the Department of Mathematics was housed in the old Fine Hall. This legendary facility was marvellous in stimulating interaction among the graduate students and between the graduate students and the faculty. The faculty offered few formal courses, and essentially none of them were at the beginning graduate level. Instead the students were expected to learn the necessary background material by reading books and papers and by organising seminars among themselves. It was a stimulating environment but not an easy one for a student like me, who had come with only a spotty background. Fortunately I had an excellent group of classmates, and in retrospect I think the "Princeton method" of that period was quite effective.

Littlewood, on Hardy's own estimate, is the finest mathematician he has ever known. He was the man most likely to storm and smash a really deep and formidable problem; there was no one else who could command such a combination of insight, technique and power.

If there is anything like a unifying aesthetic principle in mathematics, it is this: simple is beautiful. Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary.

I spoke of the 'real' mathematics of Fermat and other great mathematicians, the mathematics which has permanent aesthetic value, as for example the best Greek mathematics has, the mathematics which is eternal because the best of it may, like the best literature, continue to cause intense emotional satisfaction to thousands of people after thousands of years. These men were all primarily pure mathematicians; but I was not thinking only of pure mathematics. I count Maxwell and Einstein, Eddington and Dirac, among 'real' mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are, at present at any rate, almost as 'useless' as the theory of numbers. It is the dull and elementary parts of applied mathematics, as it is the dull and elementary parts of pure mathematics, that work for good or ill.

I think you mother has Asperger's," Georgie had said to Neal. "They didn't get Asperger's int he '50s." "I'm just saying maybe she's on the the spectrum." "She's just a math teacher.

It is true that a mathematician who is not somewhat of a poet, will never be a perfect mathematician.

It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it.

It might seem that the empirical philosopher is the slave of his material, but that the pure mathematician, like the musician, is a free creator of his world of ordered beauty.

... That little narrative is an example of the mathematician’s art: asking simple and elegant questions about our imaginary creations, and crafting satisfying and beautiful explanations. There is really nothing else quite like this realm of pure idea; it’s fascinating, it’s fun, and it’s free!

Mathematics is not just a subject of education system, it is the soul of education system.

These estimates may well be enhanced by one from F. Klein (1849-1925), the leading German mathematician of the last quarter of the nineteenth century. 'Mathematics in general is fundamentally the science of self-evident things.' ... If mathematics is indeed the science of self-evident things, mathematicians are a phenomenally stupid lot to waste the tons of good paper they do in proving the fact. Mathematics is abstract and it is hard, and any assertion that it is simple is true only in a severely technical sense—that of the modern postulational method which, as a matter of fact, was exploited by Euclid. The assumptions from which mathematics starts are simple; the rest is not.

The appearance of Professor Benjamin Peirce, whose long gray hair, straggling grizzled beard and unusually bright eyes sparkling under a soft felt hat, as he walked briskly but rather ungracefully across the college yard, fitted very well with the opinion current among us that we were looking upon a real live genius, who had a touch of the prophet in his make-up.

The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty of the intellect that inspired the thought of those times. At a later epoch, when the intellectual despotism of the Church, which had been maintained through the Middle Ages, had crumbled, and a wave of scepticism threatened to sweep away all that had seemed most fixed, those who believed in Truth clung to Geometry as to a rock, and it was the highest ideal of every scientist to carry on his science 'more geometrico.

The mathematician is in much more direct contact with reality. This may seem a paradox, since it is the physicist who deals with the subject-matter usually described as 'real' ... A chair may be a collection of whirling electrons, or an idea in the mind of God : each of these accounts of it may have its merits, but neither conforms at all closely to the suggestions of common sense. ... neither physicists nor philosophers have ever given any convincing account of what 'physical reality' is, or of how the physicist passes, from the confused mass of fact or sensation with which he starts, to the construction of the objects which he calls 'real'. A mathematician, on the other hand, is working with his own mathematical reality. ... mathematical objects are so much more what they seem. ... 317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.

The spectacular thing about Johnny [von Neumann] was not his power as a mathematician, which was great, or his insight and his clarity, but his rapidity; he was very, very fast. And like the modern computer, which no longer bothers to retrieve the logarithm of 11 from its memory (but, instead, computes the logarithm of 11 each time it is needed), Johnny didn't bother to remember things. He computed them. You asked him a question, and if he didn't know the answer, he thought for three seconds and would produce and answer.

The truth about Mathematics is that it is not always true.

What Pascal overlooked was the hair-raising possibility that God might out-Luther Luther. A special area in hell might be reserved for those who go to mass. Or God might punish those whose faith is prompted by prudence. Perhaps God prefers the abstinent to those who whore around with some denomination he despises. Perhaps he reserves special rewards for those who deny themselves the comfort of belief. Perhaps the intellectual ascetic will win all while those who compromised their intellectual integrity lose everything. There are many other possibilities. There might be many gods, including one who favors people like Pascal; but the other gods might overpower or outvote him, à la Homer. Nietzsche might well have applied to Pascal his cutting remark about Kant: when he wagered on God, the great mathematician 'became an idiot.

To a scholar, mathematics is music.

Any false value is gonna be fairly boring in Perl, mathematicians notwithstanding.

What music is to the heart, mathematics is to the mind.

You can recognize a mathematical physicist because he always asks you for your credentials or lists his without you asking for them.

[Adams] supposed that, except musicians, everyone thought Beethoven a bore, as every one except mathematicians thought mathematics a bore.

A false conclusion once arrived at and widely accepted is not easily dislodged and the less it is understood the more tenaciously it is held.

A horse that can count to ten is a remarkable horse, not a remarkable mathematician.

A mathematician is only perfect insofar as he is a perfect man, sensitive to the beauty of truth.

An accomplished mathematician, i.e. a most wretched orator.

First rate mathematicians choose first rate people, but second rate mathematicians choose third rate people.

A person who can, within a year, solve x2 - 92y2 = 1 is a mathematician.

As a poet and as a mathematician, he would reason well; as a mere mathematician, he could not have reasoned at all.

Because Mathematicians frequently make use of Time, they ought to have a distinct idea of the meaning of that Word, otherwise they are Quacks.

I believe that proving is not a natural activity for mathematicians.

God is an awesome mathematician and physicist.

I actually started in the opposite place. I come from a technical background - I'm a mathematician and a programmer by trade - and I was one of those people who would watch a show and say, "Oh, that could never happen.

If anything runs deeper than a mathematician’s love of variables, it’s a scientist’s love of constants.

It's your life story if you're a mathematician: every time you discover something neat, you discover that Gauss or Newton knew it in his crib.

It is positively spooky how the physicist finds the mathematician has been there before him or her.

I wanted to become a mathematician, physicist or astronomer.

James Edward Oliver might have been one of the great mathematicians of his time had he not been absolutely wanting in the power of continuous work.

[John Wheeler] rejuvenated general relativity; he made it an experimental subject and took it away from the mathematicians

Mathematicians practice absolute freedom.

Mathematicians stand on each other's shoulders.

Mathematicians themselves set up standards of generality and elegance in their exposition which are a bar to understand.

Mathematicians - for what they do - are really poorly rewarded. And it's a very competitive field, almost as bad as being a concert pianist.

Mathematics is fun if you don't let mathematicians push you around when you are doing it.

Mathematics is written for mathematicians.

Mathemata mathematicis scribuntur Mathematics is written for mathematicians De Revolutionibus