Top 1200 Mathematics And Science Quotes & Sayings - Page 6

Explore popular Mathematics And Science quotes.
Last updated on December 12, 2024.
...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.
I appreciate and enjoy mathematics and science and all that side of things. I definitely have that side of me even though I'm not by any means an expert, but I love reading about physics and math and that kind of stuff. I wish I knew more than I did. I mean, I read books written for laymen, not textbooks or anything.
Mathematics, in the common lay view, is a static discipline based on formulas...But outside the public view, mathematics continues to grow at a rapid rate...the guid to this growth is not calculation and formulas, but an open ended search for pattern.
Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the universal organ for world understanding through theoretical construction. Mathematics must therefore remain an essential element of the knowledge and abilities which we have to teach, of the culture we have to transmit, to the next generation.
Science Fiction is not just about the future of space ships travelling to other planets, it is fiction based on science and I am using science as my basis for my fiction, but it's the science of prehistory - palaeontology and archaeology - rather than astronomy or physics.
The true man of science will know nature better by his finer organization; he will smell, taste, see, hear, feel, better than other men. His will be a deeper and finer experience. We do not learn by inference and deduction and the application of mathematics to philosophy, but by direct intercourse and sympathy. It is with science as with ethics,--we cannot know truth by contrivance and method; the Baconian is as false as any other, and with all the helps of machinery and the arts, the most scientific will still be the healthiest and friendliest man, and possess a more perfect Indian wisdom.
[The error in the teaching of mathematics is that] mathematics is expected either to be immediately attractive to students on its own merits or to be accepted by students solely on the basis of the teacher's assurance that it will be helpful in later life. [And yet,] mathematlcs is the key to understanding and mastering our physical, social and biological worlds.
The Universal Zulu Nation stands to acknowledge wisdom, understanding, freedom, justice, and equality, peace, unity, love, and having fun, work, overcoming the negative through the positive, science, mathematics, faith, facts, and the wonders of God, whether we call him Allah, Jehovah, Yahweh, or Jah.
The aims of pure basic science, unlike those of applied science, are neither fast-flowing nor pragmatic. The quick harvest of applied science is the useable process, the medicine, the machine. The shy fruit of pure science is understanding.
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.
The word "art" means harmony for me. I never speak of mathematics and never bother with the Spirit. My only science is the choice of impressions that the light in the universe furnishes to my consciousness as an artisan which I try, by imposing an Order, and Art, an appropriate representative life, to organize.
The science which teacheth arts and handicrafts is merely science for the gaining of a living; but the science which teacheth deliverance from worldly existence, is not that the true science?
When people think science and cooking, they have no idea that it's not correctly expressed. We're actually applying the scientific method. People think chemistry and physics are science, but the scientific method is something else.... It's the science that the world of cooking generates: science of butter; science of the croissant.
I'm comfortable reading science and dissecting it and discerning the difference between junk science and real science. — © Robert Kennedy, Jr.
I'm comfortable reading science and dissecting it and discerning the difference between junk science and real science.
Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation.
Concern for the symbol has completely disappeared from our science . And yet, if one were to give oneself the trouble, one could easily find, in certain parts at least of contemporary mathematics... symbols as clear, as beautiful, and as full of spiritual meaning as that of the circle and mediation. From modern thought to ancient wisdom the path would be short and direct, if one cared to take it.
We have lost the art of living, and in the most important science of all, the science of daily life, the science of behavior, we are complete ignoramuses. We have psychology instead.
I do not remember having felt, as a boy, any passion for mathematics, and such notions as I may have had of the career of a mathematician were far from noble. I thought of mathematics in terms of examinations and scholarships: I wanted to beat other boys, and this seemed to be the way in which I could do so most decisively.
What patients want is not rocket science, which is really unfortunate because if it were rocket science, we would be doing it. We are great at rocket science. We love rocket science. What we’re not good at are the things that are so simple and basic that we overlook them.
One might say the computer is being used to program the child. In my vision, the child programs the computer, and in doing so, both acquires a sense of mastery over a piece of the most modern and powerful technology and establishes an intense contact with some of the deepest ideas from science, from mathematics, and from the art of intellectual model building.
The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations.
The only science that gives purpose to every other science is the science of religion - the science of our happy relationship with, and our providential dependence on God and our neighbor.
Those who wish to change the world should have the best possible understanding of the world, including what is revealed by the sciences, some of which they might be able to use for their purposes. That's why workers education, including science and mathematics, has commonly been a concern of left intellectuals.
Let me also remind you that zero, like all of mathematics, is fictional and an idealization. It is impossible to reach absolute zero temperature or to get perfect vacuum. Luckily, mathematics is a fairyland where ideal and fictional objects are possible.
We will always have STEM with us. Some things will drop out of the public eye and will go away, but there will always be science, engineering, and technology. And there will always, always be mathematics.
Game theory is a branch of, originally, applied mathematics, used mostly in economics and political science, a little bit in biology, that gives us a mathematical taxonomy of social life, and it predicts what people are likely to do and believe others will do in cases where everyone's actions affect everyone else.
Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand... So Greek mathematics is 'permanent', more permanent even than Greek literature.
My interest in science started in junior high school where an outstanding science teacher, Mrs. Baumgardner, introduced me to the joys of science.
I hold all knowledge that is concerned with things that actually exist - all that is commonly called Science - to be of very slight value compared to the knowledge which, like philosophy and mathematics, is concerned with ideal and eternal objects, and is freed from this miserable world which God has made.
After two years of undergraduate study, it was clear that I was bored by the regime of problem-solving required by the Cambridge mathematical tripos. A very sensitive mathematics don recommended that I talk to the historian of astronomy, Michael Hoskin, and the conversation led me to enroll in the History and Philosophy of Science for my final undergraduate year.
We are living in a society that is totally dependent on science and high technology, and yet most of us are effectively alienated and excluded from its workings, from the values of science, the methods of science, and the language of science. A good place to start would be for as many of us as possible to begin to understand the decision-making and the basis for those decisions, and to act independently and not be manipulated into thinking one thing or another, but to learn how to think. That's what science does.
We're not living in a society that science actually dominates the conversation. We're living in a situation where some science is allowed and a lot of it's about policy. And when your science runs into a policy roadblock, all of a sudden the science starts to disappear.
While, on the one hand, the end of scientific investigation is the discovery of laws, on the other, science will have reached its highest goal when it shall have reduced ultimate laws to one or two, the necessity of which lies outside the sphere of our cognition. These ultimate laws-in the domain of physical science at least-will be the dynamical laws of the relations of matter to number, space, and time. The ultimate data will be number, matter, space, and time themselves. When these relations shall be known, all physical phenomena will be a branch of pure mathematics.
Mathematics is the art of explanation. If you deny students the opportunity to engage in this activity-- to pose their own problems, to make their own conjectures and discoveries, to be wrong, to be creatively frustrated, to have an inspiration, and to cobble together their own explanations and proofs-- you deny them mathematics itself.
The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists of the analysis of Symbolic Logic itself.
Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.
The Arab world is also the world that produced some of the greatest improvements in mathematics and in science. Even today, when a Princeton mathematician does an algorithm, he may not remember that "algorithm" derived from the name al-Khwarizmi, who is a ninth-century Arab mathematician.
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.
I really didn't like the academic structure of science, but I realized I loved science and missed science.
Science coverage could be improved by the recognition that science is timeless, and therefore science stories should not need to be pegged to an item in the news.
I think you know that I classify science as British science, American science, and everybody else.
You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.
Blindness to the aesthetic element in mathematics is widespread and can account for a feeling that mathematics is dry as dust, as exciting as a telephone book... Contrariwise, appreciation of this element makes the subject live in a wonderful manner and burn as no other creation of the human mind seems to do.
It is pure mythology that women cannot perform as well as men in science, engineering and mathematics. In my experience, the opposite is true: Women are often more adept and patient at untangling complex problems, multitasking, seeing the possibilities in new solutions and winning team support for collaborative action.
All Science is necessarily prophetic, so truly so, that the power of prophecy is the test, the infallible criterion, by which any presumed Science is ascertained to be actually & verily science. The Ptolemaic Astronomy was barely able to prognosticate a lunar eclipse; with Kepler and Newton came Science and Prophecy.
Social Science, is not a 'gay science' but rueful, which finds the secret of this universe in 'supply and demand' and reduces the duty of human governors to that of letting men alone. Not a 'gay science', no, a dreary, desolate, and indeed quite abject and distressing one; what we might call, the dismal science
Buddhism is all about science. If science is the systematic pursuit of the accurate knowledge of reality, then science is Buddhism, Buddhism is science.
To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
Poetry is a sort of inspired mathematics, which gives us equations, not for abstract figures, triangles, squares, and the like, but for the human emotions. If one has a mind which inclines to magic rather than science, one will prefer to speak of these equations as spells or incantations; it sounds more arcane, mysterious, recondite.
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.
What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.
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.
As more girls get basic schooling, larger numbers will move up the educational ladder - some to pursue science, technology, engineering, and mathematics. That's important because workplaces around the world, especially in many developing and emerging-market countries, are becoming more automated, favouring workers with technical skills.
If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy. — © Alfred Renyi
If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy.
I sort of was good at writing essays. I was never very good at mathematics, and I was never very good at algebra. I loved science, but I wasn't sure of it.
There is a beauty in discovery. There is mathematics in music, a kinship of science and poetry in the description of nature, and exquisite form in a molecule. Attempts to place different disciplines in different camps are revealed as artificial in the face of the unity of knowledge. All literate men are sustained by the philosopher, the historian, the political analyst, the economist, the scientist, the poet, the artisan and the musician.
Education is like a diamond with many facets: It includes the basic mastery of numbers and letters that give us access to the treasury of human knowledge, accumulated and refined through the ages; it includes technical and vocational training as well as instruction in science, higher mathematics, and humane letters.
The more progress physical sciences make, the more they tend to enter the domain of mathematics, which is a kind of centre to which they all converge. We may even judge the degree of perfection to which a science has arrived by the facility with which it may be submitted to calculation.
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