Jaipal Mathematics Quotes

The distinction between mathematics and science is pretty well settled. It remains mysterious to us why mathematics that is invented for reasons having nothing to do with nature often turns out to be useful in physical theories. In a famous article,8 the physicist Eugene Wigner has written of the unreasonable effectiveness of mathematics. ~ Steven Weinberg

Library Science is the key to all science, just as mathematics is its language - and civilization will rise or fall, depending on how well librarians do their jobs. ~ Robert A. Heinlein

Take chaotic mathematics, for instance. The universe is chaos. But chaos is whimping out. There is no chaos. There are just different levels of order in the universe. ~ Frederick Lenz

I Once wrote: "In mathematics process and result are equivalent." ~ Ludwig Wittgenstein

The human mind is an incredible thing. It can conceive of the magnificence of the heavens and the intricacies of the basic components of matter. Yet for each mind to achieve its full potential, it needs a spark. The spark of enquiry and wonder.
Often that spark comes from a teacher. Allow me to explain. I wasn't the easiest person to teach, I was slow to learn to read and my handwriting was untidy. But when I was fourteen my teacher at my school in St Albans, Dikran Tahta, showed me how to harness my energy and encouraged me to think creatively about mathematics. He opened my eyes to maths as the blueprint of the universe itself. If you look behind every exceptional person there is an exceptional teacher. When each of us thinks about what we can do in life, chances are we can do it because of a teacher.
[...] The basis for the future of education must lie in schools and inspiring teachers. But schools can only offer an elementary framework where sometimes rote-learning, equations and examinations can alienate children from science. Most people respond to a qualitative, rather than a quantitative, understanding, without the need for complicated equations. Popular science books and articles can also put across ideas about the way we live. However, only a small percentage of the population read even the most successful books. Science documentaries and films reach a mass audience, but it is only one-way communication. ~ Stephen Hawking

There are three intellectual pursuits, and, so far as I am aware, only three, in which human beings have performed major feats before the age of puberty. They are music, mathematics, and chess. ~ George Steiner

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. ~ Viswanathan Anand

Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered. ~ Henri Poincare

Theology, Mr. Fortune found, is a more accommodating subject than mathematics; its technique of exposition allows greater latitude. For instance when you are gravelled for matter there is always the moral to fall back upon. Comparisons too may be drawn, leading cases cited, types and antetypes analysed and anecdotes introduced. Except for Archimedes mathematics is singularly naked of anecdotes. ~ Sylvia Townsend Warner

Two négatives don't make a positive, but Mathematics tells us différent ~ Goitsemang Sandra Mvula

And I'll go even further and say that mathematics, this art of abstract pattern-making - even more than storytelling, painting, or music - is our most quintessentially human art form. This is what our brains do, whether we like it or not. We are biochemical pattern-recognition machines and mathematics is nothing less than the distilled essence of who we are. ~ Paul Lockhart

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 ... ~ Robert Delaunay

One of the most painful parts of teaching mathematics is seeing students damaged by the cult of the genius. The genius cult tells students it's not worth doing mathematics unless you're the best at mathematics, because those special few are the only ones whose contributions matter. We don't treat any other subject that way! I've never heard a student say, "I like Hamlet, but I don't really belong in AP English - that kid who sits in the front row knows all the plays, and he started reading Shakespeare when he was nine!" Athletes don't quit their sport just because one of their teammates outshines them. And yet I see promising young mathematicians quit every year, even though they love mathematics, because someone in their range of vision was "ahead" of them. ~ Jordan Ellenberg

Mathematics is entirely free in its development, and its concepts are only linked by the necessity of being consistent, and are co-ordinated with concepts introduced previously by means of precise definitions. ~ Georg Cantor

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

Brains operate ... not by logic but by pattern recognition. This process is not precise, as is logic and mathematics. Instead, it trades off specificity and precision, if necessary, to increase its range. It is likely, for example, that early human thought proceeded by metaphor, which, even with the late acquisition of precise means such as logic and mathematical thought, continues to be a major source of imagination and creativity in adult life. ~ Gerald Edelman

The definition of a limit is essentially his [Cauchy's] creation and is as much of a miracle as those fantastic Swiss clocks of the period in which hundreds of gleaming cogs are made to celebrate not only the time and date but the phases of the moon. ~ David Berlinski

In testing primality of very large numbers chosen at random, the chance of stumbling upon a value that fools the Fermat test is less than the chance that cosmic radiation will cause the computer to make an error in carrying out a "correct" algorithm. Considering an algorithm to be inadequate for the first reason but not for the second illustrates the difference between mathematics and engineering. ~ Harold Abelson

To be a scholar of mathematics you must be born with talent, insight, concentration, taste, luck, drive and the ability to visualize and guess. ~ Paul Halmos

Insofar as mathematics is true, it does not describe the real world. Insofar as it describes the real world, it is not true. ~ Albert Einstein

In real life, I assure you, there is no such thing as algebra. ~ Fran Lebowitz

A man may possess a profound knowledge of history and mathematics; he may be an authority in psychology, biology, or astronomy; he may know all the discovered truths pertaining to geology and natural science; but if he has not with this knowledge that nobility of soul which prompts him to deal justly with his fellow men, to practice virtue and holiness in his personal life, he is not truly an educated man.
Character is the aim of true education; and science, history, and literature are but means used to accomplish the desired end. Character is not the result of chance work but of continuous right thinking and right acting. ~ David O. McKay

As its campfires glow against the dark, every culture tells stories to itself about how the gods lit up the morning sky and set the wheel of being into motion. The great scientific culture of the West
our culture
is no exception. The calculus is the story this world first told itself as it became the modern world. ~ David Berlinski

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. ~ Andre Weil

The essence of mathematics lies precisely in its freedom. ~ Georg Cantor

As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid, but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid, but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer ... ~ Oliver Heaviside

On sighting mathematicians poetry should unhook the algebra from their minds and replace it with poetry; on sighting poets it should unhook poetry from their minds and replace it with algebra. ~ Brian Patten

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. ~ Daniel Dennett

Mathematical truth is immutable; it lies outside physical reality... This is our belief; this is our core motivating force. ~ Joel Spencer

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. ~ G.H. Hardy

The usefulness of mathematics in furthering the sciences is commonly acknowledged: but outside the ranks of the experts there is little inquiry into its nature and purpose as a deliberate human activity. Doubtless this is due to the inevitable drawback that mathematical study is saturated with technicalities from beginning to end. ~ Herbert Turnbull

All those formal systems, in mathematics and physics and the philosophy of science, which claim to give foundations for certain truth are surely mistaken. I am tempted to say that we do not look for truth, but for knowledge. But I dislike this form of words, for two reasons. First of all, we do look for truth, however we define it, it is what we find that is knowledge. And second, what we fail to find is not truth, but certainty; the nature of truth is exactly the knowledge that we do find. ~ Jacob Bronowski

The totality of our so-called knowledge or beliefs, from the most casual matters of geography and history to the profoundest lawsof atomic physics or even of pure mathematics and logic, is a man-made fabric which impinges on experience only along the edges. Or, to change the figure, total science is like a field of force whose boundary conditions are experience. ~ Willard Van Orman Quine

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

The Scientific Revolution proposed a very different formula for knowledge: Knowledge = Empirical Data x Mathematics. If we want to know the answer to some question, we need to gather relevant empirical data, and then use mathematical tools to analyse the data. For ~ Yuval Noah Harari

I don't like mixing up moralities with mathematics. ~ Winston S. Churchill

The fact that mathematics does such a good job of describing the Universe is a mystery that we don't understand. And a debt that we will probably never be able to repay. ~ William Thomson, 1st Baron Kelvin

Yes, I share your concern: how to program well -though a teachable topic- is hardly taught. The situation is similar to that in mathematics, where the explicit curriculum is confined to mathematical results; how to do mathematics is something the student must absorb by osmosis, so to speak. One reason for preferring symbol-manipulating, calculating arguments is that their design is much better teachable than the design of verbal/pictorial arguments. Large-scale introduction of courses on such calculational methodology, however, would encounter unsurmoutable political problems. ~ Edsger Dijkstra

was slow to speak, but he was not, as legend has it, slow in his studies; he consistently earned the highest or next-highest marks in mathematics and Latin in school and Gymnasium. At four or five the "miracle" of a compass his father showed him excited him so much, he remembered, that he "trembled and grew cold." It seemed to him then that "there had to be something behind objects that lay deeply hidden."624 ~ Richard Rhodes

My feelings about politics and literature and mathematics and the rest of life's minutiae can only be described through a labyrinthine of six-sided questions, but everything that actually matters can be explained by Lindsey fucking Buckingham and Stevie fucking Nicks in four fucking minutes. ~ Chuck Klosterman

I didn't know what kinds of questions to ask in mathematics. In physics, I could see there were things that were known and things that weren't. ~ Margaret Geller

The mathematics of networks means that most people will have fewer friends than average, while a small number of people will have far more than average. ~ William Davies

The presentation of mathematics in schools should be psychological and not systematic. The teacher, so to speak, should be a diplomat. He must take account of the psychic processes in the boy in order to grip his interest, and he will succeed only if he presents things in a form intuitively comprehensible. A more abstract presentation is only possible in the upper classes. ~ Felix Klein