Mathematics Quotations | Page 2

I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959.

We found a way to give players a variety of games. The games are the same, the mathematics are the same, and the objects of the games are the same. But there is just a little variation.

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.

Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.

From nothing I have created another entirely new world.

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.

There are things which seem incredible to most men who have not studied Mathematics.

When I give this talk to a physics audience, I remove the quotes from my 'Theorem'.

I believe there are 15, 747, 724, 136, 275, 002, 577, 605, 653, 961, 181, 555, 468, 044, 717, 914, 527, 116, 709, 366, 231, 425, 076, 185, 631, 031, 296 protons in the universe and the same number of electrons.

It is insufficient to protect ourselves with laws; we need to protect ourselves with mathematics.

Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.

If you had done something twice, you are likely to do it again.

If you learn music, you'll learn history. If you learn music, you'll learn mathematics. If you learn music, you'll learn most all there is to learn.

Where an intelligent grasp of principles requires a knowledge of mathematics, its fundamental ideas should be presented in such a way that students carry away the sense of mathematics not only as a tool for the solution of problems but as a study of types of order, system, and language.

The piano's world encompasses glass-nerved virtuosi and stomping barrel-housers in fedoras; it is a world of pasture and storm, of perfumed smoke, of liquid mathematics.

The new art must be based upon science - in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences.

When a branch of mathematics ceases to interest any but the specialists, it is very near its death, or at any rate dangerously close to a paralysis, from which it can be rescued only by being plunged back into the vivifying source of the science.

There is no smallest among the small and no largest among the large, but always something still smaller and something still larger.

Numbers are the most certain things we have.

I'd like to take some calculus, too. I have absolutely no ability in that direction and not much interest, either, but there's something going on in mathematics that I don't understand, and I'd like to find out what it is.

A mathematical formula should never be "owned" by anybody! Mathematics belong to God.

To start with invention is the mark of the fertile mind ... and leads later to the interpretation of experience; to start with the reproduction of experience is the infallible index of a barren invention.

Every moment dies a man, Every moment one is born.

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

Mathematics as a science, commenced when first someone, probably a Greek, proved propositions about "any" things or about "some" things, without specifications of definite particular things.

On the ostensible exactitude of certain branches of human knowledge, including mathematics. The exactness is a fake.

With 43 teams here, you do the math.

There have even been rumors that mathematics is used in economics (and in other social sciences) either for the deliberate purpose of mystification or to confer dignity upon common places as French was once used in diplomatic communications.

There is a close analogy between organic chemistry in its relation to biochemistry and pure mathematics in its relation to physics.

To be sure, mathematics can be extended to any branch of knowledge, including economics, provided the concepts are so clearly defined as to permit accurate symbolic representation. That is only another way of saying that in some branches of discourse it is desirable to know what you are talking about.

Mathematical reasoning may be regarded...

Music is what mathematics does on a Saturday night.

Mathematics is concerned only with the enumeration and comparison of relations.

I protest against the use of infinite magnitude ..., which is never permissible in mathematics.

In mathematics there are no true controversies.

Newton's health, and confusion to mathematics.

Love was even more mathematical than poetry. It was the pure mathematics of the spirit.

Even in pure mathematics they can't remove all paradox, and the rest of us should also recognize we are going to have to endure a lot of paradox, like it or not.

Most of the programmers in ten years will be us, and we won't get much smarter.

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.

In mathematics our role is more that of servant than master.

We are servants rather than masters in mathematics.

This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

Mathematics is purely hypothetical: it produces nothing but conditional propositions.

... preliminary accounting, banking and surveying (known as arithmetic, algebra and geometry).

... nets, grids, and other types of calculus.

I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.

No one shall expel us from the paradise which Cantor has created for us. Expressing the importance of Cantor's set theory in the development of mathematics.

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.

We are going to shut down their operations, and if he would do the math he would come back to the table,

At mathematics he's at the very top end. For a guy so young I can't remember anybody so decorated at his age. He certainly started out with a bang and has not let it get to his head, which is unusual. Of course he couldn't do what he does if he wasn't brilliant. It's his exceptional talent that's so striking.

Don't talk to me of your Archimedes' lever. He was an absentminded person with a mathematical imagination. Mathematics commands all my respect, but I have no use for engines. Give me the right word and the right accent and I will move the world.

The theory of computation has traditionally been studied almost entirely in the abstract, as a topic in pure mathematics. This is to miss the point of it. Computers are physical objects, and computations are physical processes. What computers can or cannot compute is determined by the laws of physics alone, and not by pure mathematics.

The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing.

These will be computer related courses taught by departments in the College, not by computer science. So an example of that kind of course would be a digital music course or a certain mathematics course.

We always need more tutors, because there are students who are waiting for a tutor to help them improve their reading, writing, math, or basic computer skills.

We all know that players will hit a few more home runs than usual in some years and a few less in others. But the mathematics of chance also predicts that some years they'll hit a lot more, and some years a lot less.

We had a great strategy and Kimi drove an excellent race. The mathematics clearly demonstrate we are still capable of winning both world titles, but of course it is going to be somewhat challenging.

The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.

Strange as it may seem, the power of mathematics rests on its evasion of all unnecessary thought, and on its wonderful saving of mental operations.

As an undergraduate at Columbia, I went to the engineering school. I had a great deal of training in engineering and mathematics as well as subdiversified training. And then I went to the California Institute of Technology to do my Ph.D. in applied math.

Every advanced industrial country knows that falling behind in science and mathematics means falling behind in commerce and prosperity.

Are you kidding me? The IRA doesn't care about him. He's just sick and tired of having to save starving children from third world megalomaniacs all of the time. I sit next to him in contemporary mathematics and all he does is draw doodles of himself in a cape fighting world leaders.

We think the report in fact shows that the subsidies are a great thing for us. Do the math and you will see that every dollar invested with Wal-Mart has returned more than $30 for the community. We expect to see lots of other local governments will be asking for that $30 deal.

The Unreasonable Effectiveness of Mathematics in the Natural Sciences

You're able to perform really complex mathematics and therefore re-generate a different curve that might be impossible to do using analog techniques.

In mathematics the art of asking questions is more valuable than solving problems.

In mathematics you don't understand things. You just get used to them.

I owe my interest in mathematics to my father, or more precisely the sense that mathematics was something important and mysterious.

In the early years of your mortgage, nearly 100 percent of your payments are applied to interest, ... Whenever you increase your principal, you change the mathematics entirely.

If you can't count, you can't play music. Music and math are the two most closely related subjects.

I had an excellent math and physics teacher in high school named T.C. Patel, and in the university, I had truly dedicated professors in both physics and mathematics who gave me a sound foundation with which to pursue graduate studies.

I had a liberal arts education at Amherst College where I had two majors, mathematics and philosophy.

If you go a la carte, that messes with the math there.

Everybody's doing the math, it's not rocket science to see what it means. ? We've already lost Nikolai Khabibulin and now it's going to be a big challenge to get Marty signed.

Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherialization of common sense.

The next chapter is likely to provoke many mathematicians. This can't be helped. Mathematics is not what they think it is.

It's satisfying to know that the U.S. Department of Education recognizes the expertise of our faculty and has selected us to lead the way in improving mathematics teacher recruitment, preparation and support.

The fear of not doing well in reading and mathematics is driving out some of the other needs we have. We have driven fear into a system that's dealing with children. People are so concerned about raising achievement, they've almost inadvertently forgotten about the entire development of the child.

Calculating does not equal mathematics. It's a subsection of it. In years gone by it was the limiting factor, but computers now allow you to make the whole of mathematics more intellectual.

Still more astonishing is that world of rigorous fantasy we call mathematics.

A chemist who does not know mathematics is seriously handicapped.

Mathematics is really an art, not a science.

I think the biggest misconception is that everybody has to learn mathematics. That seems to be a complete mistake.

To me, mathematics is like playing the violin. Some people can do it - others can't. If you don't have it, then there's no point in pretending.

The two programs are critical to keep the new nuclear plant momentum up and to support mathematics and science education to ensure a highly-trained work force to support our future.

It was a glimpse into some kind of wonderful world where electricity and mathematics and engineering and nice diagrams all came together.

I received my high school baccalaureate diploma in Latin and Science in 1928, then my two baccalaureate diplomas in Mathematics and Philosophy in 1929.

I really want people to walk away from the book with the idea that they can become kind of an intuitive cook. Instead of relying on the mathematics of, you know, 2/3 of a cup of this and a cup of this, to really be able to feel the recipe.

In mathematics and science, there is no difference in the intelligence of men and women. The difference in genes between men and women is simply the Y chromosome, which has nothing to do with intelligence.

Mathematics are one of the fundamentaries of educationalizing our youth.

The more I work and practice, the luckier I seem to get.

QED - Quod erat demonstrandum.

A line is length without breadth.

The most painful thing about mathematics is how far away you are from being able to use it after you have learned it.

Advertising research is one-half frustration, one-half exclamation point, and one-half question-mark. If this adds up to more than 100 percent, it proves that mathematics and research sometimes gives confusing results.

The infinite in mathematics is alway unruly unless it is properly treated.

The manuscript looks chaotic, even by mathematics standards.