Quotes on Math

Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance, and that whether say, an airplane would or would not fly could depend on this difference? If such were claimed, I should not care to fly in that plane.

Happiness is not so much in having as sharing. We make a living by what we get, but we make a life by what we give.

The hardest arithmetic to master is that which enables us to count our blessings.

Like dreams, statistics are a form of wish fulfillment.

Men who are unhappy, like men who sleep badly, are always proud of the fact.

Everything that is beautiful and noble is the product of reason and calculation.

I hate the idea that, when it comes to books and learning, hard is often seen as the opposite of fun. It's strange to me that we should be so quick to give up on a book or a math problem when we are so willing to grapple, for centuries if necessary, with a single level of Angry Birds.

It is a profoundly erroneous truism, repeated by all copy books and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them.

No party has a monopoly on wisdom. No democracy works without compromise. But when Governor Romney and his allies in Congress tell us we can somehow lower our deficit by spending trillions more on new tax breaks for the wealthy - well, you do the math. I refuse to go along with that. And as long as I'm President, I never will.

We are so presumptuous that we should like to be known all over the world, even by people who will only come when we are no more. Such is our vanity that the good opinion of half a dozen of the people around us gives us pleasure and satisfaction.

I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.

We need to eliminate the existing hierarchy of subjects. Elevating some disciplines over others only reinforces outmoded assumptions of industrialism and offends the principle of diversity. The arts, sciences, humanities, physical education, languages and maths all have equal and central contributions to make to a student's education.

... that, in a few years, all great physical constants will have been approximately estimated, and that the only occupation which will be left to men of science will be to carry these measurements to another place of decimals.

No human investigation can be called real science if it cannot be demonstrated mathematically.

In ninth grade, I came up with a new form of rebellion. I hadn't been getting good grades, but I decided to get all A's without taking a book home. I didn't go to math class, because I knew enough and had read ahead, and I placed within the top 10 people in the nation on an aptitude exam.

The arts, sciences, humanities, physical education, languages and maths all have equal and central contributions to make to a student's education.

The investigation of mathematical truths accustoms the mind to method and correctness in reasoning, and is an employment peculiarly worthy of rational beings.

The Advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil. It is a field which has often been compared with chess, but differs from the latter in that it is only one's best moments that count and not one's worst. A single inattention may lose a chess game, whereas a single successful approach to a problem, among many which have been relegated to the wastebasket, will make a mathematician's reputation.

Sometimes parents squash students' interests because they are afraid of science or math. So they don't participate. You don't have to know the answers to engage kids; you just have to let them know it's important.

Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.