What Is Mathematics Quotes & Sayings

What, after all, is mathematics but the poetry of the mind, and what is poetry but the mathematics of the heart? — David Eugene Smith

Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done. — Israel Nathan Herstein

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. — William Stanley Jevons

Mowaljarlai rarely answered questions with an abstract explanation; he always told a story. His was not a fragmented world, divided into the convenient disciplinary languages and jargon that seem to be required for the understanding of concepts and principles in, for example, mathematics, physics, art and literature. Not only did he not have these languages; he thought this was a strange way to arrive at understanding the way in which the world lives in itself. It baffled him that whitefellas developed their knowledge by busting things up, reducing things to little pieces separate from everything else that contributes to their nature. For him, everything in creation is not only living and interconnected, but exists in a story and story cycle. Yet his knowledge of what whitefellas call 'science' was extraordinary."
p80-1. — Hannah Rachel Bell

And this is what I mainly learned up there, that the Parthenon was not a thing to study but to feel. It wasn't aloof, rational, timeless, pure. I couldn't locate the serenity of the place, the logic and steady sense. It wasn't a relic species of dead Greece but part of the living city below it. This was a surprise. I'd thought it was a separate thing, the sacred height, intact in its Doric order. I hadn't expected a human feeling to emerge from the stones but this is what I found, deeper than the art and mathematics embodied in the structure, the optical exactitudes. I found a cry for pity. — Don DeLillo

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. — Bertrand Russell

[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. — Paul Halmos

Well, of
course one must have concentration. Courage. Self-control. That goes
without saying. But more important than these, one must have ... I
don't know how to say it. One must be both a mathematician and a
poet. As though poetry were a science; or mathematics an art. One
must have an affection for proportion to play Go at all well.Ah ... what Go is to philosophers
and warriors, chess is to accountants and merchants. — Trevanian

What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But that is about as far as you will get. And with that you will have obtained a description of mathematics that ceased to be accurate some two and a half thousand years ago! — Keith Devlin

Look you wanna know the truth? I don't really care about the
stats or the cup or the trophy or anything like that. In fact even the games aren't that important to me. What matters to me is the perfect throw, making the perfect catch, the perfect step and block. Perfection. That's what it's about. It's those moments. When you can feel the perfection of creation. The beauty the physics you know the wonder of mathematics. The elations of action and reaction and that is the kind of perfection that I want to be connected to. — Samuel Anders

Everything useful in mathematics has been devised for a purpose. Even if you don't know it, the guy who did it first, he knew what he was doing. Banach didn't just develop Banach spaces for the sake of it. He wanted to put many spaces under one heading. Without knowing the examples, the whole thing is pointless. — Michael Atiyah

Proofs are to mathematics what spelling (or even calligraphy) is to poetry. Mathematical works do consist of proofs, just as poems do consist of words. — V. I. Arnold

The science of mathematics applies to the clouds; the radiance of starlight nourishes the rose; no thinker will dare say that the scent of hawthorn is valueless to the constellations ... The cheese-mite has its worth; the smallest is large and the largest is small ... Light does not carry the scents of earth into the upper air without knowing what it is doing with them; darkness confers the essence of the stars upon the sleeping flowers ... Where the telescope ends the microscope begins, and which has the wider vision? You may choose. A patch of mould is a galaxy of blossom; a nebula is an antheap of stars. There is the same affinity, if still more inconceivable, between the things of the mind and material things. — Victor Hugo

Take this neat little equation here. It tells me all the ways an electron can make itself comfortable in or around an atom. That's the logic of it. The poetry of it is that the equation tells me how shiny gold is, how come rocks are hard, what makes grass green, and why you can't see the wind. And a million other things besides, about the way nature works. — Richard Feynman

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

While ritual, emotion and reasoning are all significant aspects of human nature, the most nearly unique human characteristic is the ability to associate abstractly and to reason. Curiosity and the urge to solve problems are the emotional hallmarks of our species; and the most characteristically human activities are mathematics, science, technology, music and the arts
a somewhat broader range of subjects than is usually included under the "humanities." Indeed, in its common usage this very word seems to reflect a peculiar narrowness of vision about what is human. Mathematics is as much a "humanity" as poetry. — Carl Sagan

The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of entities. So that for example, no mathematical truths apply merely to fish, or merely to stones, or merely to colours. So long as you are dealing with pure mathematics, you are in the realm of complete and absolute abstraction ... Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about. — Alfred North Whitehead

Deep Blue didn't win by being smarter than a human; it won by being millions of times faster than a human. Deep Blue had no intuition. An expert human player looks at a board position and immediately sees what areas of play are most likely to be fruitful or dangerous, whereas a computer has no innate sense of what is important and must explore many more options. Deep Blue also had no sense of the history of the game, and didn't know anything about its opponent. It played chess yet didn't understand chess, in the same way a calculator performs arithmetic bud doesn't understand mathematics. — Jeff Hawkins

Thers is this wonderful iconoclast at Rutgers, Doron Zeilberger, who says that our mathematics is the result of a random walk, by which he means what WE call mathematics. Likewise, I think, for the sciences. — Ian Hacking

It is certain that the real function of art is to increase our self-consciousness; to make us more aware of what we are, and therefore of what the universe in which we live really is. And since mathematics, in its own way, also performs this function, it is not only aesthetically charming but profoundly significant. It is an art, and a great art. — J. W. N. Sullivan

First of all, when we are all finished, and we have a mathematical theory by which we can compute consequences, what can we do? It really is an amazing thing. In order to figure out what an atom is going to do in a given situation we make up rules with marks on paper, carry them into a machine which has switches that open and close in some complicated way, and the result will tell us what the atom is going to do! If the way that these switches open and close were some kind of model of the atom, if we thought that the atom had switches in it, then I would say that I understood more or less what is going on. I find it quite amazing that it is possible to predict what will happen by mathematics, which is simply following rules which really have nothing to do with what is going on in the original thing. The closing and opening of switches in a computer is quite different from what is happening in nature. — Anonymous

Mathematics is the music of reason. To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion - not because it makes no sense to you, but because you gave it sense and you still don't understand what your creation is up to; to have a break-through idea; to be frustrated as an artist; to be awed and overwhelmed by an almost painful beauty; to be alive, damn it. — Paul Lockhart

Mathematics is very much like poetry ... what makes a good poem
a great poem
is that there is a large amount of thought expressed in very few words. In this sense formulas like
or are poems. — Lipman Bers

I suspect gentlemen, that you're regarding me with pity; you keep repeating to me that an enlightened and cultured man
such as, in short, as the man of the future will be
cannot knowingly desire anything unprofitable for himself
that that's mathematics. I agree totally that it really is mathematics. But I repeat to you for the hundredth time: there is only one case, only one, when a man can intentionally and consciously desire for himself even what is harmful and stupid, even what is extremely stupid: namely, in order to have the right to desire for himself even what is extremely stupid and not be constrained by the obligation to desire for himself only what is intelligent. — Fyodor Dostoyevsky

Roger Bacon, a disciple of the Arabs, also insisted on the primary necessity of Mathematics, without which no other science can be known; yet by Mathematics it is clear that he meant something very different from what we mean, including under that head even dancing, singing, gesticulation, and performance on musical instruments. — George Henry Lewes

The shared paradox of mathematics and ontology is that they speak of what lies behind every presentation without actually involving a presentation in the usual sense. — Anonymous

As science has become more abstract and remote from everyday experience, the role of metaphor in our descriptions of the world has become more central. The language that nature speaks, as Galileo long pointed out, is mathematics. The language that ordinary human beings speak, especially those of us who are not fluent in mathematics, is metaphor. Lightman ends his discussion with another metaphor: "We are blind men, imagining what we don't see." That is a good description of theoretical physics. — Freeman Dyson

I'm a mathematician, basically. What I do is look around for problems where I can find useful applications for mathematics. All I do, really, is the math, and other people have the ideas. — Freeman Dyson

A man craves ultimate truths. Every mortal mind, I think, is that way. But what is ultimate truth? It's the end of the road, where there is no more mystery, no more hope. And no more questions to ask, since all the answers have been given. But there is no such place.
The Universe is a labyrinth made of labyrinths. Each leads to another. And wherever we cannot go ourselves, we reach with mathematics. Out of mathematics we build wagons to carry us into the nonhuman realms of the world. — Stanislaw Lem

But is it not already an insult to call chess anything so narrow as a game? Is it not also a science, an art, hovering between these categories like Muhammad's coffin between heaven and earth, a unique yoking of opposites, ancient and yet eternally new, mechanically constituted and yet an activity of the imagination alone, limited to a fixed geometric area but unlimited in its permutations, constantly evolving and yet sterile, a cogitation producing nothing, a mathematics calculating nothing, an art without an artwork, an architecture without substance and yet demonstrably more durable in its essence and actual form than all books and works, the only game that belongs to all peoples and all eras, while no one knows what god put it on earth to deaden boredom, sharpen the mind, and fortify the spirit? — Stefan Zweig

The world is colors and motion, feelings and thoughts and what does math have to do with it? Not much, if 'math' means being bored in high school, but in truth mathematics is the one universal science. Mathematics is the study of pure pattern and everything in the cosmos is a kind of pattern. — Rudy Rucker

Each pleasure we feel is a pleasure less; each day a stroke on a calendar. What we will not accept is that the joy in the day and the passing of the day are inseparable. What makes our existence worthwhile is precisely that its worth and its while - its quality and duration - are as impossible to unravel as time and space in mathematics of relativity. — John Fowles

I was reasonably interested in mathematics in school. Typically what happens is ... when you start playing chess, it takes up a lot of your attention. But about 10 years ago, I found that the Internet is very good to start learning about a lot of subjects. — Viswanathan Anand

Mathematical objects states "only the relationships between mathematically 'undefined objects' and the rules governing operations with them." It doesn't matter what mathematical things are: it's what they do that counts. Thus mathematics hovers uneasily between the real and the not-real; its meaning does not reside in formal abstractions, but neither is it tangible. This may cause problems for philosophers who like tidy categories, but it is the great strength of mathematics - what — Richard Courant

To calculate 'the' fine structure constant, 1/137, we would need a realistic model of just about everything, and this we do not have. In this talk I want to return to the old question of what it is that determines gauge couplings in general, and try to prepare the ground for a future realistic calculation. — Steven Weinberg

Mathematics, natural science, laws, arts, even morality, etc. do not completely fill the soul; there is always a space left over reserved for pure and speculative reason, the emptiness of which prompts us to seek in vagaries, buffooneries, and mysticism for what seems to be employment and entertainment, but what actually is mere pastime undertaken in order to deaden the troublesome voice of reason, which, in accordance with its nature, requires something that can satisfy it and does not merely subserve other ends or the interests of our inclinations. — Immanuel Kant

Language is remarkable, except under the extreme constraints of mathematics and logic, it never can talk only about what it's supposed to talk about but is always spreading around. — Howard Nemerov

What makes this story so remarkable is that throughout my early childhood I had ongoing learning difficulties, particularly in mathematics. I struggled to learn the multiplication table, and no matter how hard I tried, I simply couldn't remember 6 times 7 or 7 times 8. — Andrew Lo

What humans do with the language of mathematics is to describe patterns ... To grow mathematically children must be exposed to a rich variety of patterns appropriate to their own lives through which they can see variety, regularity, and interconnections. — Lynn Steen

Anything you try to quantify can be divided into any number of "anythings," or become the thing - the unit - itself. And what is any number, itself, but just another unit of measurement? What is a 'six' but two 'threes', or three 'twos' ... half a 'twelve', or just six 'ones' - which are what?
(attrib: F.L. Vanderson) — Mort W. Lumsden

Surely, the gods' judgment is certain. But as for us, we must be satisfied to 'come close' to those things, for we are men, who speak according to what is likely, and whose lectures resemble fables. — Proclus

Because the observer's only freedom is the choice of which question to pose (Shall I look up at the sky?), it is here that the mind of the observer has a chance to affect the dynamics of the brain. An examination of the mathematics, Stapp argued, shows that "the conscious intentions of a human being [reflected in the choices he makes about what question to put to nature] can influence the activities of his brain....Each conscious event picks out from the multitude of...possibilities that comprise the quantum brain the subensemble that is compatible with the conscious experience." The physical event reduces the state of the brain to that branch of it that is compatible with the particular experience or observation. — Jeffrey M. Schwartz

The question as to which of these two theories applies to the actual world is, like all questions concerning the actual world, in itself irrelevant to pure mathematics.* But the argument against absolute position usually takes the form of maintaining that a space composed of points is logically inadmissible, and hence issues are raised which a philosophy of mathematics must discuss. In what follows, I am concerned only with the question: Is a space composed of points self-contradictory? It is true that, if this question be answered in the negative, the sole ground for denying that such a space exists in the actual world is removed; but this is a further point, which, being irrelevant to our subject, will be left entirely to the sagacity of the reader. — Bertrand Russell

It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer. — James Newman

The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done. — G.H. Hardy

... This is a major theme in mathematics: things are what you want them to be. You have endless choices; there is no reality to get in your way.

On the other hand, once you have made your choices then your new creations do what they do, whether you like it or not. This is the amazing thing about making imaginary patterns: they talk back! — Paul Lockhart

I said Jeannine why are you unhappy?
I'm not unhappy.
You have everything (I said). What is there that you want and haven't got?
I want to die.
Do you want to be an airplane pilot? is that it? And they won't let you? Did you have a talent for mathematics, which they squelched? Did they refuse to let you be a truck driver? What is it?
I want to live. — Joanna Russ

The issue, then, is not, What is the best way to teach? but, What is mathematics really all about? ... Controversies about ... teaching cannot be resolved without confronting problems about the nature of mathematics. — Reuben Hersh

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

The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along I just couldn't see it. And now I can! This is really what keeps me in the math game
the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods. — Paul Lockhart

Cats?" Baba looked up from practicing chopping tomatoes, looking as if he might explode. "Kittens? 'Persian' should remind people of the empire that stretched from one side of the East to the other. The empire that set a new global standard, contributed mountainfuls to astronomy, science, mathematics, and literature, and had a leader, Cyrus the Great, who had the gumption to free the Jewish people and declare human rights! That empire! You can't be shortsighted when you look at history. History is long!" Baba was shouting now. He continued to slice tomatoes. "Cats! What have we been reduced to? — Marjan Kamali

Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don't happen to have all the data. In mathematics we have all the data and yet we don't understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence. — Simone Weil

This concept is central to understanding what distinguishes the Arrowsmith approach: cognitive exercises do not teach content or skill in, say, mathematics; the aim is to forge new neural pathways in the brain so that later, when math is taught, number concepts actually make sense. — Barbara Arrowsmith-Young

What comes, is called. — Ki Longfellow

Add Snow White and her seven dwarfs,
2 droids for Luke Skywalker, of course.
1 true ring to rule them all.
A decimal is a place to stall.
Snow White's gone, the dwarfs alone.
This system your next clue has shown.

Now you might ask, this little key, Just what does it mean for me?
Hold on tight and you will see,
Someday it will set clues free. — Megan Frazer Blakemore

How does the industry seek to master the risks? Through mathematics. The common-sense version of what sophisticated investors do is diversification, a technique so old it's mentioned in the Talmud, where the strategy advocated is to have a third of your assets in trade, a third in cash and a third in land. — John Lanchester

You know, I'm not terribly fast at my times tables, because that's not what I think mathematics is about. — Marcus Du Sautoy

My first feeling was that there was no way to continue. Writing isn't like math;in math, two plus two always equals four no matter what your mood is like. With writing, the way you feel changes everything. — Stephenie Meyer

Thousands of years ago the ancients had an advanced mathematical understanding of universe that is revealed in many sources. There is a consistent link to knowledge of the golden mean, but the way in which the ancients were able to formulate and use this information speaks of a technical grasp of the subject that exceeds what we know about it in the present day. — Alison Charlotte Primrose

This is not very important what I'm doing. I'm just proving something. — Richard P. Feynman

Did you know that in mathematics they determined what was real by what was not imaginary?" Finn's voice was just a soft rumble beneath my fingertips that had found his lips
"What?"
"When mathematicians came up with imaginary numbers, accepted them, defined them, they had to come up with a name for everything that wasn't imaginary. Everything that wasn't an imaginary number from that point on became a 'real' number."
What's an imaginary number?"
"The square root of negative one is an imaginary number."
"Is that all?"
"Any number that was once the square root of a negative number becomes an imaginary number. Square root of -4 becomes 2i, square root of -100 becomes 10i."
"Is infinity an imaginary number?"
"No."
"Is it a real number?"
"No. It isn't a number at all. It's a concept of endlessness, unreachableness.
"I knew it. See? You are just a figment of my imagination. — Amy Harmon

Me, and thousands of others in this country like me, are half-baked, because we were never allowed to complete our schooling. Open our skulls, look in with a penlight, and you'll find an odd museum of ideas: sentences of history or mathematics remembered from school textbooks (no boy remembers his schooling like the one who was taken out of school, let me assure you), sentences about politics read in a newspaper while waiting for someone to come to an office, triangles and pyramids seen on the torn pages of the old geometry textbooks which every tea shop in this country uses to wrap its snacks in, bits of All India Radio news bulletins, things that drop into your mind, like lizards from the ceiling, in the half hour before falling asleep
all these ideas, half formed and half digested and half correct, mix up with other half-cooked ideas in your head, and I guess these half-formed ideas bugger one another, and make more half-formed ideas, and this is what you act on and live with. — Aravind Adiga

As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry. — Blaise Pascal

Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight. — Johann Wolfgang Von Goethe

What makes the theory of relativity so acceptable to physicists in spite of its going against the principle of simplicity is its great mathematical beauty. This is a quality which cannot be defined, any more than beauty in art can be defined, but which people who study mathematics usually have no difficulty in appreciating. — Paul Dirac

In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide
a relief from daily life, an anodyne to the practical workaday world. — Paul Lockhart

The desire to explore thus marks out the mathematician. This is one of the forces making for the growth of mathematics. The mathematician enjoys what he already knows; he is eager for more knowledge. — W.W. Sawyer

The reasons why anthropologists haven't been able to come up with a simple, compelling story for the origins of money is because there's no reason to believe there could be one. Money was no more ever "invented" than music or mathematics or jewelry. What we call "money" isn't a "thing" at all; it's a way of comparing things mathematically, as proportions: of saying one of X is equivalent to six of Y. As such it is probably as old as human thought. — David Graeber

If you can't test it, it's not theorics
it's metatheorics. A branch of philosophy. So, if you want to think of it this way, our test equipment is what defines the boundary separating theorics from philosophy. — Neal Stephenson

However great a man's fear of life, suicide remains the courageous act, the clear-headed act of a mathematician. The suicide has judged by the laws of chance - so many odds against one that to live will be more miserable than to die. His sense of mathematics is greater than his sense of survival. But think how a sense of survival must clamor to be heard at the last moment, what excuses it must present of a totally unscientific nature. — Graham Greene

Sex is mathematics. Individuality no longer an issue. What does intelligence signify? Define reason. Desire - meaningless. Intellect is not a cure. Justice is dead. — Bret Easton Ellis

Much of what we know about mathematics and trade comes from the Arabs. Then came stagnation, and now they're the West's whipping boy. This is a problem that cannot be solved overnight, and certainly not militarily. — Brent Scowcroft

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

The effort of the economist is to "see," to picture the interplay of economic elements. The more clearly cut these elements appear in his vision, the better; the more elements he can grasp and hold in his mind at once, the better. The economic world is a misty region. The first explorers used unaided vision. Mathematics is the lantern by which what before was dimly visible now looms up in firm, bold outlines. The old phantasmagoria disappear. We see better. We also see further. — Irving Fisher

Further, the same Arguments which explode the Notion of Luck, may, on the other side, be useful in some Cases to establish a due comparison between Chance and Design: We may imagine Chance and Design to be, as it were, in Competition with each other, for the production of some sorts of Events, and many calculate what Probability there is, that those Events should be rather be owing to the one than to the other. — Abraham De Moivre

Companies want to innovate. Companies that don't innovate wither on the vine. The connection between STEM fields (science, technology, engineering, and mathematics) and the financial stability of a nation is what needs to established. — Neil DeGrasse Tyson

He had a particular facination with the I Ching, that art of tossing three coins three times and divining a pattern out of heads and tails. Pete would begin with questions:
What determined the pattern? Was it random? Was it a higher power? Was is mathematical? Wasn't poker based on mathematical probability and not just luck? Did that mean randomness was actually mathematical? And if the I Ching was governed by mathematics, hey, wouldn't that mean the I Ching was actually predictable, a prescribed answer? And if it was prescribed, did that mean that your life followed the I Ching, like some sort of equation? Or did the I Ching simply capture correctly what had already been determined as the next series of events in your life? — Amy Tan

Emotion is not a defect in an otherwise perfect reasoning machine. Reason, unfettered from human feeling, has led to as many horrors as any crusader's zeal. What use is pity in a world devoted to maximizing efficiency and productivity? Scientific husbandry tells us to weed out the sick, the infirm, the weak. The ruthless efficiency of euthanasia initiatives and ethnic cleansing are but the programmatic application of Nietzsche's point: from any quantifiable cost-benefit analysis, the principles of animal husbandry should apply to the human race. Charles Darwin himself acknowledged that strict obedience to "hard reason" rather than sympathy for fellow humans would represent a sacrifice of "the noblest part of our nature."6 It is the human heart resonating with empathy, not the logical brain attuned to the mathematics of efficiency, that revolts at cruelty and inhumanity. In — Terryl L. Givens

Dividing one number by another is mere computation ; knowing what to divide by what is mathematics. — Jordan Ellenberg

One of the biggest problems of mathematics is to explain to everyone else what it is all about. The technical trappings of the subject, its symbolism and formality, its baffling terminology, its apparent delight in lengthy calculations: these tend to obscure its real nature. A musician would be horrified if his art were to be summed up as "a lot of tadpoles drawn on a row of lines"; but that"s all that the untrained eye can see in a page of sheet music ... In the same way, the symbolism of mathematics is merely its coded form, not its substance. — Ian Stewart

There is no place for [the Bantu] in the European community above the level of certain forms of labour ... What is the use of teaching the Bantu child mathematics when it cannot use it in practice? That is quite absurd. Education must train people in accordance with their opportunities in life, according to the sphere in which they live. — Hendrik Verwoerd

Do you know what the mathematical expression is for longing? ... The negative numbers. The formalization of the feeling that you are missing something. — Peter Hoeg

[Georg Cantor was the first to prove that there could be a series of infinities; that infinities come in an infinite number of sizes.] Thus Cantor's Absolute is a perfect image for what we experience of God. When I speak of a Big Enough God I am not merely thinking of an Infinite God, but the God of infinities, the Absolute, which either chooses to reveal itself or remains veiled in mystery. Modern mathematics does begin to feel like the language that God talks. — Sara Maitland

There is no great religion without a great schism. All of them have it. And that's because you're dealing with something called faith. And faith is not something you can prove; faith is personal opinion. Uh, when you're dealing with something with certainty, like, y'know, science or logic, you don't have the
there's no wiggle room; that's why history is not filled with warring math cults, y'know, because you can settle the issue; you can prove something to be right or wrong, and that's the end of the argument: next case. Whereas, when you're dealing with faith, you can forever argue your point, or another point, because you're dealing with intangibles. Personally, I think, faith is what you ask of somebody when you don't have the goods to prove your point. — Tom Quinn

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 — G.H. Hardy

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. — Colin Camerer

Mathematics is about making up rules and seeing what happens. — Vi Hart

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. — Kenneth E. Boulding

One consequence of this formulation is that a physical principle that unites many smaller physical theories must autoomatically unite many seemingly unrelated branches of mathematics. This is precisely what string theory accomplishes. In fact, of all physical theories, string theory unites by far the largest number of branches of mathematics into a single coherent picture. Perhaps one of the by-products of the physicists' quest for unification will be the unification of mathematics as well. — Michio Kaku

That Marxism is not a science is entirely clear to intelligent people in the Soviet Union. One would even feel awkward to refer to it as a science. Leaving aside the exact sciences, such as physics, mathematics, and the natural sciences, even the social sciences can predict an event - when, in what way and how an event might occur. Communism has never made any such forecasts. It has never said where, when, and precisely what is going to happen. Nothing but declamations. Rhetoric to the effect that the world proletariat will overthrow the world bourgeoisie and the most happy and radiant society will then arise. — Aleksandr Solzhenitsyn

Every action of giving creates an opposite action of receiving and what you receive is always equal to what you've given. Whatever you give out in life, must return to you. It is the physics and the mathematics of the universe. — Rhonda Byrne

It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done. Statesmen despise publicists, painters despise art-critics, and physiologists, physicists, or mathematicians have usually similar feelings: there is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds. — G.H. Hardy

What this committee needs, what this media center needs, is a good dose of Jeeves."
"I'm sorry," said Mr. Peabody, a mathematics lecturer who sat hunched at the far end of the table taking the minutes. "How do you spell that?"
"Is it possible," said Arthur, raising both his shoulders and his voice, "that we are working in a university where lecturers are not aware of the identity of one Reginald Jeeves, the gentleman's personal gentleman and the personal gentleman's gentleman? What has happened to cultural literacy, my fellow members of the Advisory Committee for the Media Center? This sort of ignorance is exactly what needs addressing. What I mean, Mr. Peabody, when I say that we need a dose of Jeeves, is that we need quiet and reasoned wisdom that leads to prompt and directed action. — Charlie Lovett

Freeman denied the claim that he was a "man of God", saying that "the question of faith is whatever you actually believe is. We take a lot of what we're talking about in science on faith; we posit a theory, and until it's dis-proven we have faith that it's true. If the mathematics work out, then it's true, until it's proven to be untrue. — Morgan Freeman

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

Music is what mathematics does on a Saturday night. — Aaron Sorkin

The bladder-pipe, a local Highlands speciality, is to music what warthogs are to mathematics. Largely unconnected. — Mark Lawrence

This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it. — Roger Penrose

How to describe the excitement I felt when I saw this beautiful work and realized its potential? I guess it's like when, after a long journey, suddenly a mountain peak comes in full view. You catch your breath, take in its majestic beauty, and all you can say is "Wow!" It's the moment of revelation. You have not yet reached the summit, you don't even know yet what obstacles lie ahead, but its allure is irresistible, and you already imagine yourself at the top. It's yours to conquer now. But do you have the strength and stamina to do it? — Edward Frenkel

A famous Japanese Zen master, Hakuun Yasutani Roshi, said that unless you can explain Zen in words that a fisherman will comprehend, you don't know what you're talking about. Some fifty years ago a UCLA professor told me the same thing about applied mathematics. We like to hide from the truth behind foreign-sounding words or mathematical lingo. There's a saying: The truth is always encountered but rarely perceived. If we don't perceive it, we can't help ourselves and we can't much help anyone else. — Jeff Bridges