Top 1200 Mathematics And Science Quotes & Sayings - Page 2

Physics is essentially an intuitive and concrete science. Mathematics is only a means for expressing the laws that govern phenomena.

If you have a child with autism, and he or she has good intelligence, with no delay in language learning maybe there is an advantage to autism as well? Maybe it gives them a better understanding of mathematics, or science? After all, the essence of science and the essence of autism is to notice patterns that others have not noticed.

The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.

Innovations that drive lasting economic growth emerge from the most advanced science, mathematics and technology.

The State of Israel must be at the forefront of global science - in physics, in mathematics, in medicine, in biology.

Music is mathematics, the mathematics of listening, mathematics for the ears.

Mathematics-a wonderful science, but it hasn't yet come up with a way to divide one tricycle between three small boys.

We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry.

There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.

The rejection of all abstract formalism. Materialism reminds every science of its real source: the world men transform. No science can, whether in its history or its object, grasp its own origins within itself or constitute itself as a closed world, exhaustively defined by internal rules. Materialism refers every science and every activity to the reality they depend on, even if this dependence is masked by a great many abstract mediations: mathematics as well as logic, aesthetics as well as ethics and politics.

In mathematics and science we solve our problems as well as create them. But in art and philosophy things are not so simple.

... mathematics is the science of skillful operations with concepts and rules invented just for this purpose.

I assert that, in any particular natural science, one encounters genuine scientific substance only to the extent that mathematics is present.

. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.

At present, when the prevailing forms of society have become hindrances to the free expression of human powers, it is precisely the abstract branches of science, mathematics and theoretical physics, which ... offer a less distorted form of knowledge than other branches of science which are interwoven with the pattern of daily life, and the practicality of which seemingly testifies to their realistic character.

In general, I'm in support of promoting art and science in public schools. I think music and science are probably the most important factors for the human brain developing. Even more so than any other fields, because music covers mathematics, cognitive reasoning, motor skills, coordination, like, it's kind of everything.

Over the centuries, monumental upheavals in science have emerged time and again from following the leads set out by mathematics.

It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, "Economics is what economists do," and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.

I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.

To me, mathematics, computer science, and the arts are insanely related. They're all creative expressions.

Children display a universal love of mathematics, which is par excellence the science of precision, order, and intelligence.

Creativity is essential to particle physics, cosmology, and to mathematics, and to other fields of science, just as it is to its more widely acknowledged beneficiaries - the arts and humanities.

You can see the meaning of the statement that "Literature is a living art" most easily and clearly, perhaps, by contrasting Science and Art at their two extremes - say Pure Mathematics and Acting. Science as a rule deals with things, Art with man's thought and emotion about things.

Mathematics is the science which uses easy words for hard ideas.

It is impossible to overstate the imporance of problems in mathematics. It is by means of problems that mathematics develops and actually lifts itself by its own bootstraps... Every new discovery in mathematics, results from an attempt to solve some problem.

But the science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value; just as logic has its own peculiar truth and value, independently of the subjects to which we may apply its reasonings and processes.

Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.

My interests started about in science and in mathematics; I always thought I was going to be a mathematician.

Mathematics is the science of patterns, and nature exploits just about every pattern that there is.

The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.

In science, technology, engineering and mathematics, men far outnumber women in the classroom and the boardroom.

Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world.

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

The life and soul of science is its practical application, and just as the great advances in mathematics have been made through the desire of discovering the solution of problems which were of a highly practical kind in mathematical science, so in physical science many of the greatest advances that have been made from the beginning of the world to the present time have been made in the earnest desire to turn the knowledge of the properties of matter to some purpose useful to mankind.

The history of mathematics, lacking the guidance of philosophy, [is] blind, while the philosophy of mathematics, turning its back on the most intriguing phenomena in the history of mathematics, is empty.

Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity

The science of pure mathematics, in its modern developments, may claim to be the most original creation of the human spirit.

If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.

From the age of 13, I was attracted to physics and mathematics. My interest in these subjects derived mostly from popular science books that I read avidly.

One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.

To criticize mathematics for its abstraction is to miss the point entirely. Abstraction is what makes mathematics work. If you concentrate too closely on too limited an application of a mathematical idea, you rob the mathematician of his most important tools: analogy, generality, and simplicity. Mathematics is the ultimate in technology transfer.

One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics.

! want to leverage the creativity of researchers across mathematics, statistics, data mining, computer science, biology, medicine, and the public at large.

My high school, the Illinois Mathematics and Science Academy, showed me that anything is possible and that you're never too young to think big. At 15, I worked as a computer programmer at the Fermi National Accelerator Laboratory, or Fermilab. After graduating, I attended Stanford for a degree in economics and computer science.

Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.

I read everything: fiction, history, science, mathematics, biography, travel.

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.

As the prerogative of Natural Science is to cultivate a taste for observation, so that of Mathematics is, almost from the starting point, to stimulate the faculty of invention.

In my family, as in most middle-class Indian families I knew when I was growing up, science and mathematics were held in awe.

[I can] scarcely write upon mathematics or mathematicians. Oh for words to express my abomination of the science.

Mathematics may, be briefly defined as the science of quantities, and is one of the most important of disciplining studies which engage the practical student.

Mathematics is much more than computation with pencil and a paper and getting answers to routine exercises. In fact, it can easily be argued that computation, such as doing long division, is not mathematics at all. Calculators can do the same thing and calculators can only calculate they cannot do mathematics.

This is an extremely ambitious book. In addition to science and mathematics, Byers brings to bear insights from literature, philosophy, religion, history, anthropology, medicine, and psychology. The Blind Spot breaks new ground, and represents a major step forward in the philosophy of science. The book is also a page-turner, which is rare for this topic.

The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess, you study existing theory and use that to go forward.

One of the things that ultimately led me to leave mathematics and go into political science was thinking I could prevent nuclear war.

Mathematicians have never been in full agreement on their science, though it is said to be the science of self-evident verities -- absolute, indisputable and definitive. They have always been in controversy over developing aspects of mathematics, and they have always considered their own age to be in a period of crisis.

My interests started about in science and in mathematics, I always thought I was going to be a mathematician.

Modern bodybuilding is ritual, religion, sport, art, and science, awash in Western chemistry and mathematics. Defying nature, it surpasses it.

I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to invent a non-Euclidian mathematics with respect to political discipline.

Music is an intrinsic part of life; therefore, it is important to transport different forms of artistic expression, science, and mathematics into compositions.