Top 1200 Mathematics And Science Quotes & Sayings - Page 3

I'm convinced that imagination is at the heart of everything we do - in art, science, even astrophysics and higher mathematics. Imagination leads us to ask, "What if?"

I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto.

The training one receives when one becomes a technician, like a data scientist - we get trained in mathematics or computer science or statistics - is entirely separated from a discussion of ethics.

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.

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.

Indeed art is fundamental : to science, mathematics and to language. Unfortunately theorists, educators, parents and administrators have not fully understood its importance, relegating it to a secondary role, or that of an add on.

Critics of 'economic sciences' sometimes refer to the development of a 'pseudoscience' of economics, arguing that it uses the trappings of science, like dense mathematics, but only for show.

We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to an issue. Sophistry has been more effectually excluded from mathematics and natural philosophy than from other sciences. In mathematics it had no place from the beginning; mathematicians having had the wisdom to define accurately the terms they use, and to lay down, as axioms, the first principles on which their reasoning is grounded. Accordingly, we find no parties among mathematicians, and hardly any disputes.

I was a good student with mathematical ability and interests. As such, I took the usual college preparatory program in high school for one looking to become an engineer: all the available courses in mathematics and science.

The basic science is not physics or mathematics but biology -- the study of life. We must learn to think both logically and bio-logically.

If you refuse to study anatomy, the arts of drawing and perspective, the mathematics of aesthetics, and the science of color, let me tell you that this is more a sign of laziness than of genius.

Only dead mathematics can be taught where the attitude of competition prevails: living mathematics must always be a communal possession.

I tell you that studying humanities in high school is more important than mathematics - mathematics is too sharp an instrument, no good for kids.

We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of science are mathematics and logic; the mathematical set puts out the logical eye, the logical set puts out the mathematical eye; each believing that it sees better with one eye than with two. Note that De Morgan, himself, only had sight with only one eye.

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

In mathematics we find the primitive source of rationality; and to mathematics must the biologists resort for means to carry out their researches.

In some parts of life, like mathematics and science, yeah, I was a genius. I would top all the top scores you could ever measure it by.

Mathematics is an obscure field, an abstruse science, complicated and exact; yet so many have attained perfection in it that we might conclude almost anyone who seriously applied himself would achieve a measure of success.

It seems perfectly clear that Economy, if it is to be a science at all, must be a mathematical science. There exists much prejudice against attempts to introduce the methods and language of mathematics into any branch of the moral sciences. Most persons appear to hold that the physical sciences form the proper sphere of mathematical method, and that the moral sciences demand some other method-I know not what.

Philip Kitcher thinks that mathematics is surprisingly like empirical science. Few mathematicians would agree; philosophers too, from Socrates on, have held the opposite opinion.

The only way to learn mathematics is to do mathematics.

Today, it is not only that our kings do not know mathematics, but our philosophers do not know mathematics and - to go a step further - our mathematicians do not know mathematics.

All science requires mathematics. [Editors' summary of Bacon's idea, not Bacon's wording.]

On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,'... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient.

The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience

If you think about basic science or coming up with new theories of mathematics, these are not the kinds of things which are necessarily a well-defined market to pay people.

Eugene Wigner wrote a famous essay on the unreasonable effectiveness of mathematics in natural sciences. He meant physics, of course. There is only one thing which is more unreasonable than the unreasonable effectiveness of mathematics in physics, and this is the unreasonable ineffectiveness of mathematics in biology.

I don't think that everyone should become a mathematician, but I do believe that many students don't give mathematics a real chance. I did poorly in math for a couple of years in middle school; I was just not interested in thinking about it. I can see that without being excited mathematics can look pointless and cold. The beauty of mathematics only shows itself to more patient followers.

Negative gender stereotypes related to girls' education in science, technology, engineering, and mathematics begin as early as primary school and have the devastating effect of making them doubt their own potential.

It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.

It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.

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

But I quite like the way you can talk about science without necessarily using mathematics, but using metaphors instead.

Some people think that mathematics is a serious business that must always be cold and dry; but we think mathematics is fun, and we aren't ashamed to admit the fact. Why should a strict boundary line be drawn between work and play? Concrete mathematics is full of appealing patterns; the manipulations are not always easy, but the answers can be astonishingly attractive.

I'm sorry to say that the subject I most disliked was mathematics. I have thought about it. I think the reason was that mathematics leaves no room for argument. If you made a mistake, that was all there was to it.

The problem is that no ethical system has ever achieved consensus. Ethical systems are completely unlike mathematics or science. This is a source of concern.

Do not lose your faith. A mighty fortress is our mathematics. Mathematics will rise to the challenge, as it always has.

I believe that even a smattering of such findings in modern science and mathematics is far more compelling and exciting than most of the doctrines of pseudoscience, whose practitioners were condemned as early as the fifth century B.C. by the Ionian philosopher Heraclitus as “nigh -walkers, magicians, priests of Bacchus, priestesses of the wine-vat, mystery-mongers.” But science is more intricate and subtle, reveals a much richer imiverse, and powerfully evokes our sense of wonder.

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms.

I grew up in Adelaide, Australia. No one in my family had finished high school, and I was smart at mathematics, so I became an academic and got my Ph.D. in computer science at Stanford. I didn't set out to be a businessperson.

It has become almost a cliche to remark that nobody boasts of ignorance of literature, but it is socially acceptable to boast ignorance of science and proudly claim incompetence in mathematics.

No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game

As I considered the matter carefully it gradually came to light that all those matters only were referred to mathematics in which order and measurements are investigated, and that it makes no difference whether it be in numbers, figures, stars, sounds or any other object that the question of measurement arises. I saw consequently that there must be some general science to explain that element as a whole which gives rise to problems about order and measurement, restricted as these are to no special subject matter. This, I perceived was called 'universal mathematics'.

Magic is that which it is; it is by itself, like the mathematics; for it is the exact and absolute science of Nature and its laws . Magic is the science of the Ancient Magi: and the Christian religion, which has imposed silence on the lying oracles, and put an end to the prestiges of the false Gods , itself reveres those Magi who came from the East, guided by a Star , to adore the Saviour of the world in His cradle.

In mathematics I can report no deficiency, except it be that men do not sufficiently understand the excellent use of Pure Mathematics.

Mathematics as we know it and as it has come to shape modern science could never have come into being without some disregard for the dangers of the infinite.

No matter what engineering field you're in, you learn the same basic science and mathematics. And then maybe you learn a little bit about how to apply it.

Zero is powerful because it is infinity’s twin. They are equal and opposite, yin and yang. They are equally paradoxical and troubling. The biggest questions in science and religion are about nothingness and eternity, the void and the infinite, zero and infinity. The clashes over zero were the battles that shook the foundations of philosophy, of science, of mathematics, and of religion. Underneath every revolution lay a zero – and an infinity.

Inferences of Science and Common Sense differ from those of deductive logic and mathematics in a very important respect, namely, when the premises are true and the reasoning correct, the conclusion is only probable.

For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?

Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week.

There is an astonishing imagination, even in the science of mathematics. ... We repeat, there was far more imagination in the head of Archimedes than in that of Homer.

I'm a biologist, so... Which I think should be mandatory. Biology should be mandatory. Mathematics? They say we don't know enough about math and science. Well we don't know enough about science and particularly biology, which is such a huge field.

In this era of globalisation, I believe that the only way to push the Philippines forward is to focus our energy on improving English, mathematics, science, and technology.

Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

Doing research in mathematics is frustrating and if being frustrated is something you cannot get used to, then mathematics may not be an ideal occupation for you.

Life is good for only two things, discovering mathematics and teaching mathematics.

A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-"important" if you like, but the word is very ambiguous, and "serious" expresses what I mean much better.