• Noun: a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
Life is good for only two things, discovering mathematics and teaching mathematics.
One of the most amazing things about mathematics is the people who do math aren't usually interested in application, because mathematics itself is truly a beautiful art form. It's structures and patterns, and that's what we love, and that's what we get off on.
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto.
The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.
For the things of this world cannot be made known without a knowledge of mathematics.
The mathematics is not there till we put it there.
Film is one of the three universal languages, the other two: mathematics and music.
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.
We must always emphasize research and development of science and mathematics, and I can think of no better way to achieve this than through our future in space.
All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
I must study politics and war that my sons may have liberty to study mathematics and philosophy.
The essence of mathematics lies in its freedom.
I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959.
In mathematics the art of proposing a question must be held of higher value than solving it.
In mathematics we have long since drawn the rein, and given over a hopeless race.