Mathematical Quotes

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Quotes About Mathematical

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Life is not so idiotically mathematical that only the big eat the small; it is just as common for a bee to kill a lion or at least to drive it mad. ~ August Strindberg
Mathematical quotes by August Strindberg
The purpose of concept art as a genre is to unbrainwash our mathematical and logical faculties. ~ Henry Flynt
Mathematical quotes by Henry Flynt
God has the Big Book, the beautiful proofs of mathematical theorems are listed here. ~ Paul Erdos
Mathematical quotes by Paul Erdos
Fictions are useful so long as they are taken as fictions. They are then
simply ways of "figuring" the world which we agree to follow so that
we can act in cooperation, as we agree about inches and hours, numbers
and words, mathematical systems and languages. If we have no
agreement about measures of time and space, I would have no way of
making a date with you at the corner of Forty-second Street and Fifth
Avenue at 3 P.M. on Sunday, April 4. ~ Alan W. Watts
Mathematical quotes by Alan W. Watts
While Indian CEOs in Non-Indian companies are getting all the praise and admiration from the Indians, startups born on Indian soil remain unrecognized - this is not a matter of pride, it's a matter of shame, especially for a population whose history is replete with mathematical, scientific and philosophical achievements. ~ Abhijit Naskar
Mathematical quotes by Abhijit Naskar
Irrigation, unscientifically conducted, would not give us such truly wonderful mathematical fitness [as we observe in the Martian canals] ... A mind of no mean order would seem to have presided over the system we see-a mind certainly of considerably more comprehensiveness than that which presides over the various department of our own public works. ~ Percival Lowell
Mathematical quotes by Percival Lowell
We shed as we pick up, like travelers who must carry everything in their arms, and what we let fall will be picked up by those behind. The procession is very long and life is very short. We die on the march. But there is nothing outside the march so nothing can be lost to it. The missing plays of Sophocles will turn up piece by piece, or be written again in another language. Ancient cures for diseases will reveal themselves once more. Mathematical discoveries glimpsed and lost to view will have their time again. ~ Tom Stoppard
Mathematical quotes by Tom Stoppard
It seems that jazz is more cerebral and more mathematical in a sense. ~ Rita Coolidge
Mathematical quotes by Rita Coolidge
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be "seen" with the "eyes of the mind". It is as if we had no sense of hearing, so that only someone able to sight read music would be able to appreciate its patterns and harmonies. ~ Keith Devlin
Mathematical quotes by Keith Devlin
Nutrition is not a mathematical equation in which two plus two is four. The food we put in our mouths doesn't control our nutrition - not entirely. What our bodies do with that food does. ~ T. Colin Campbell
Mathematical quotes by T. Colin Campbell
All high mathematics serves to do is to beget higher mathematics. ~ Ashim Shanker
Mathematical quotes by Ashim Shanker
The oldest problem in economic education is how to exclude the incompetent. A certain glib mastery of verbiage-the ability to speak portentously and sententiously about the relation of money supply to the price level-is easy for the unlearned and may even be aided by a mildly enfeebled intellect. The requirement that there be ability to master difficult models, including ones for which mathematical competence is required, is a highly useful screening device. ~ John Kenneth Galbraith
Mathematical quotes by John Kenneth Galbraith
Nature laughs at the difficulties of integration. ~ Pierre-Simon Laplace
Mathematical quotes by Pierre-Simon Laplace
Has the mathematical abilities of a Clydesdale. ~ David Letterman
Mathematical quotes by David Letterman
To talk about communication theory without communicating its real mathematical content would be like endlessly telling a man about a wonderful composer, yet never letting him hear an example of the composer's music. ~ John R. Pierce
Mathematical quotes by John R. Pierce
The physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning. The former is just the collection of selected data; the latter enables one to infer results about experiments that have not been performed. There is no logical reason why the second method should be possible at all, but one has found in practice that it does work and meets with reasonable success. ~ Paul Dirac
Mathematical quotes by Paul Dirac
Numbers instill a feeling for the lie of the land, and furnish grist for the mathematical mill that is the physicist's principal tool. ~ Hans Christian Von Baeyer
Mathematical quotes by Hans Christian Von Baeyer
{Before the time of Benjamin Peirce it never occurred to anyone that mathematical research} was one of the things for which a mathematical department existed. Today it is a commonplace in all the leading universities. Peirce stood alone - a mountain peak whose absolute height might be hard to measure, but which towered above all the surrounding country. ~ Julian Coolidge
Mathematical quotes by Julian Coolidge
It seems to me there's this grand mathematical world out there, and I am wandering through it and discovering fascinating phenomena that often totally suprise me. I do not think of mathemaatics as invented but rather discovered. ~ George Andrews
Mathematical quotes by George Andrews
I actually wanted to be an astronaut, but I don't have a mathematical brain. ~ Eva Amurri
Mathematical quotes by Eva Amurri
You are the mathematical and geometrical centre of all the universe, where the centre is you, and radius goes into the infinity. ~ Count Stefan Colonna Walewski
Mathematical quotes by Count Stefan Colonna Walewski
Sense of beauty, perception, and the mathematical universe are all part of the same texture. ~ Neeti Sinha
Mathematical quotes by Neeti Sinha
Religious truth is not false for being narrow any more than mathematical or scientific truth is false for the same reason. ~ Max Anders
Mathematical quotes by Max Anders
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason. ~ Nicholas Murray Butler
Mathematical quotes by Nicholas Murray Butler
Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of the real world, often in ways no one could have envisioned before the theory was developed. ~ William Thurston
Mathematical quotes by William Thurston
The magic of the mechanisms inside each genetic structure saying exactly where that nerve cell should go - the complexity of these mathematical models is beyond human comprehension. ~ Alexander Tsiaras
Mathematical quotes by Alexander Tsiaras
After all, we may grant that a program running in a computer can reason, can perform elaborate mathematical computations, can play chess better than a human champion, can beat humans in TV game shows, can translate speech, and can even drive vehicles, but we would still be hard pressed to believe that a program with those abilities has free will, that it is selfconscious, that it has the concept of self, and that it fears its own death. ~ Arlindo Oliveira
Mathematical quotes by Arlindo Oliveira
In Russia, the person who put Sevastopol on the literary map was Leo Tolstoy, a veteran of the siege. His fictionalized memoir The Sebastopol Sketches made him a national celebrity. Already with the first installment of the work published, Tsar Alexander II saw the propaganda value of the piece and ordered it translated into French for dissemination abroad. That made the young author very happy. Compared with Tolstoy's later novels, The Sebastopol Sketches hasn't aged well, possibly because this is not a heartfelt book. As the twenty-six-year-old Tolstoy's Sevastopol diaries reveal, not heartache but ambition drove him at the time. Making a name as an author was just an alternative to two other grand plans - founding a new religion and creating a mathematical model for winning in cards (his losses during the siege were massive even for a rich person). ~ Constantine Pleshakov
Mathematical quotes by Constantine Pleshakov
If I were asked to name, in one word, the pole star round which the mathematical firmament revolves, the central idea which pervades the whole corpus of mathematical doctrine, I should point to Continuity as contained in our notions of space, and say, it is this, it is this! ~ James Joseph Sylvester
Mathematical quotes by James Joseph Sylvester
Now I feel as if I should succeed in doing something in mathematics, although I cannot see why it is so very important ... The knowledge doesn't make life any sweeter or happier, does it? ~ Helen Keller
Mathematical quotes by Helen Keller
The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, will fit the facts better than others, and then the geometry which provides that particular map will be the geometry most important for applied mathematics. ~ G.H. Hardy
Mathematical quotes by G.H. Hardy
I think; here I lie under a haystack ... The tiny space I occupy is so infinitely small in comparison with the rest of space, in which I am not, and which has nothing to do with me; and the period of time in which it is my lot to live is so petty beside the eternity in which I have not been, and shall not be ... And in this atom, this mathematical point, the blood is circulating, the brain is working and wanting something ... Isn't it loathsome? Isn't it petty? ~ Ivan Turgenev
Mathematical quotes by Ivan Turgenev
As soon as a thought or word becomes a tool, one can dispense with actually 'thinking' it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics the model of all neo-positivistic thinking lies in just this 'intellectual economy.' Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based ... Reason ... becomes a fetish, a magic entity that is accepted rather than intellectually experienced. ~ Max Horkheimer
Mathematical quotes by Max Horkheimer
I'm obviously attuned to pick up mathematics whenever I can see it. But in Mozart there is a lot of conscious use of mathematical symbolism and numbers in order to try and give messages. ~ Marcus Du Sautoy
Mathematical quotes by Marcus Du Sautoy
I have a name for people who went to the extreme efficient market theory-which is "bonkers". It was an intellectually consistent theory that enabled them to do pretty mathematics. So I understand its seductiveness to people with large mathematical gifts. It just had a difficulty in that the fundamental assumption did not tie properly to reality. ~ Charlie Munger
Mathematical quotes by Charlie Munger
The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules ... One might therefore conjecture that these axioms and rules of inference are sufficient to decide any mathematical question that can at all be formally expressed in these systems. It will be shown below that this is not the case, that on the contrary there are in the two systems mentioned relatively simple problems in the theory of integers that cannot be decided on the basis of the axioms. ~ Kurt Godel
Mathematical quotes by Kurt Godel
I make fractals. They're like mathematical pictures. My stepdad is actually a rocket scientist, so in his free time, he gave me a fractal program for fun. He showed me how to use it when I was about nine or 10, and I made thousands of fractals. ~ Ronda Rousey
Mathematical quotes by Ronda Rousey
The miracle of man is not how far he has sunk but how magnificently he has risen. We are known among the stars by our poems, not our corpses. No creature who began as a mathematical improbability, who was selected through millions of years of unprecedented environmental hardship and change for ruggedness, ruthlessness, cunning, and adaptability, and who in the short ten thousand years of what we may call civilization has achieved such wonders as we find about us, may be regarded as a creature without promise. ~ Robert Ardrey
Mathematical quotes by Robert Ardrey
A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river. ~ James Joseph Sylvester
Mathematical quotes by James Joseph Sylvester
What I love about cooking is that after a hard day, there is something comforting about the fact that if you melt butter and add flour and then hot stock, it will get thick! It's a sure thing! It's sure thing in a world where nothing is sure; it has a mathematical certainty in a world where those of us who long for some kind of certainty are forced to settle for crossword puzzles. ~ Nora Ephron
Mathematical quotes by Nora Ephron
[1.] And first I suppose that there is diffused through all places an aethereal substance capable of contraction & dilatation, strongly elastick, & in a word, much like air in all respects, but far more subtile. 2. I suppose this aether pervades all gross bodies, but yet so as to stand rarer in their pores then in free spaces, & so much ye rarer as their pores are less ... 3. I suppose ye rarer aether within bodies & ye denser without them, not to be terminated in a mathematical superficies, but to grow gradually into one another. ~ Isaac Newton
Mathematical quotes by Isaac Newton
Salander was up at 5:00 the next morning and hacked into the NSF Major Research Instrumentation supercomputer at the New Jersey Institute of Technology - she needed all the mathematical skills she could muster. ~ David Lagercrantz
Mathematical quotes by David Lagercrantz
Einstein felt that he did not have great mathematical gifts and deliberately chose not to take courses and to continue in that area.

The fact that I neglected mathematics to a certain extent had its causes not merely in my stronger interest in science than in mathematics but also in the following strange experience....I saw that mathematics was split up into numerous specialties, each of which could easily absorb the short lifetime granted to us....In physics, however, I soon learned to scent out that which was able to lead to fundamentals and to turn aside from everything else, from the multitude of things that clutter up the mind and divert it from the essential.

This capacity to pick out important issues dovetailed with Einstein's search for the most general possible conception. "In a man of my type," he declared, "the turning point of the development lies in the fact that gradually the major interest disengages itself to a far reaching degree from the momentary and the merely personal and turns toward the striving for a mental grasp of things. ~ Howard Gardner
Mathematical quotes by Howard Gardner
The reason that I have concentrated on non-computability, in my arguments, rather than on complexity, is simply that it is only with the former that I have been able to see how to make the necessary strong statements. It may well be that in the working lives of most mathematicians, non-computability issues play, if anything, only a very small part. But that is not the point at issue. I am trying to show that (mathematical) understanding is something that lies beyond computation, and the Godel (-Turing) argument is one of the few handles that we have on that issue. It is quite probable that our mathematical insights and understandings are often used to achieve things that could in principle also be achieved computationally-but where blind computation without much insight may turn out to be so inefficient that it is unworkable (cf. 3.26). However, these matters are much more difficult to address than the non-computability issue. ~ Roger Penrose
Mathematical quotes by Roger Penrose
What we call "the laws of nature" merely reflect the normal way in which God sustains or governs the natural world. Perhaps the most wicked concept that has captured the minds of modern people is the belief that the universe operates by chance. That is the nadir of foolishness. Elsewhere, I have written more extensively on the scientific impossibility of assigning power to chance, because chance is simply a word that describes mathematical possibilities.* Chance is not a thing. It has no power. It cannot do anything, and therefore it cannot influence anything, yet some have taken the word chance, which has no power, and diabolically used it as a replacement for the concept of God. But the truth, as the Bible makes clear, is that nothing happens by chance and that all things are under the sovereign government of God, which is exceedingly comforting to the Christian who understands it. ~ R.C. Sproul
Mathematical quotes by R.C. Sproul
If things are nice there is probably a good reason why they are nice: and if you do not know at least one reason for this good fortune, then you still have work to do. ~ Richard Askey
Mathematical quotes by Richard Askey
Our inner weighing of evidence is not a careful mathematical calculation resulting in a probabilistic estimate of truth, but more like a whirlpool blending of the objective and the personal. The result is a set of beliefs - both conscious and unconscious - that guide us in interpreting all the events of our lives. ~ Leonard Mlodinow
Mathematical quotes by Leonard Mlodinow
All my family has very good mathematical abilities - like, so dorky. I was the dork then in school - on any maths exams I'd get 100%. I just knew how to do maths and most people would hate it, but for some reason it just came. ~ Rebel Wilson
Mathematical quotes by Rebel Wilson
If equations are trains threading the landscape of numbers, then no train stops at pi. ~ Richard Preston
Mathematical quotes by Richard Preston
Elegance; it lacks the intellect -
he is not a dancer who dances to the beat of love - on the other hand, the heart, can not solve mathematical problems. ~ Kristian Goldmund Aumann
Mathematical quotes by Kristian Goldmund Aumann
The various approximations that constitute our current physics theories are successful because simple mathematical structures can provide good approximations of how a self-aware substructure will perceive more complex mathematical structures. In other words, our successful theories are not mathematics approximating physics, but mathematics approximating mathematics! ~ Max Tegmark
Mathematical quotes by Max Tegmark
A felicitous but unproved conjecture may be of much more consequence for mathematics than the proof of many a respectable theorem. ~ Atle Selberg
Mathematical quotes by Atle Selberg
We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory. ~ James Clerk Maxwell
Mathematical quotes by James Clerk Maxwell
The greatest reward for a student is not a good grade. It is the willingness of his teacher to listen to him. ~ Nikolay Konstantinov
Mathematical quotes by Nikolay Konstantinov
In presenting a mathematical argument the great thing is to give the educated reader the chance to catch on at once to the momentary point and take details for granted: two trivialities omitted can add up to an impasse). The unpractised writer, even after the dawn of a conscience, gives him no such chance; before he can spot the point he has to tease his way through a maze of symbols of which not the tiniest suffix can be skipped. ~ John Edensor Littlewood
Mathematical quotes by John Edensor Littlewood
And despite the fact that the basis of this mathematical way of thinking in art is in reason, its dynamic content is able to launch us on astral flights which soar into unknown and still uncharted regions of the imagination. ~ Max Bill
Mathematical quotes by Max Bill
If we leave that general descriptive talk where everything which looks like a poem can be called a poem and turn instead to normative talk, we will of course not recognize as a poem everything that looks like a poem. A real poem has to be a successful poem, a successful speech act. In approximately the same way that only a mathematical proof which really proves something can be called a mathematical proof. It is not enough that it looks like a proof. The proof has to prove. For the poem it is not enough to look like a poem. It has to achieve something. ~ Lars Gustafsson
Mathematical quotes by Lars Gustafsson
Wherever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos. ~ Eric Temple Bell
Mathematical quotes by Eric Temple Bell
I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts ... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'. ~ Roger Penrose
Mathematical quotes by Roger Penrose
In music, musicians must be able to read musical notes and have developed the skill to follow the music from their studies. This skill allows them to read new musical notes and be capable of hearing most or all of the sounds (melodies, harmonies, etc.) in their head without having to play the music piece. By analogy, in Mathematics, we believe a scientist, engineer or mathematician must be able to read and understand mathematical codes (e.g., Maple, Mathematica) in their head without having to execute the problem. ~ Inna K. Shingareva
Mathematical quotes by Inna K. Shingareva
I think it is a peculiarity of myself that I like to play about with equations, just looking for beautiful mathematical relations which maybe don't have any physical meaning at all. Sometimes they do.
At age 60. ~ Paul Dirac
Mathematical quotes by Paul Dirac
Obscenity is a function of culture - a function in the mathematical sense, I mean, its value changing with that of the variables on which it depends. ~ A.P.
Mathematical quotes by A.P.
Einstein's relativity work is a magnificent mathematical garb which fascinates, dazzles and makes people blind to the underlying errors. The theory is like a beggar clothed in purple whom ignorant people take for a king.. its exponents are brilliant men but they are metaphysicists rather than scientists. ~ Nikola Tesla
Mathematical quotes by Nikola Tesla
A child is born on that day, and at that hour when the celestial rays are in mathematical harmony with his individual Karma. His horoscope is a challenging portrait, revealing his unalterable past and its probable future result. But the natal chart can be rightly interpreted only by men of intuitive wisdom - These are few. ~ Sri Yukteswar Giri
Mathematical quotes by Sri Yukteswar Giri
I'm not a supermodel. That's not what I do. What I do is music. I want my fans to feel the way I do, to know what they have to offer is just as important, more important, than what's happening on the outside. ~ Lady Gaga
Mathematical quotes by Lady Gaga
Russell is reputed at a dinner party once to have said, 'Oh, it is useless talking about inconsistent things, from an inconsistent proposition you can prove anything you like.' Well, it is very easy to show this by mathematical means. But, as usual, Russell was much cleverer than this. Somebody at the dinner table said, 'Oh, come on!' He said, 'Well, name an inconsistent proposition,' and the man said, 'Well, what shall we say, 2 = 1.' 'All right,' said Russell, 'what do you want me to prove?' The man said, 'I want you to prove that you're the pope.' 'Why,' said Russell, 'the pope and I are two, but two equals one, therefore the pope and I are one. ~ Jacob Bronowski
Mathematical quotes by Jacob Bronowski
Natural selection is a mechanism for generating an exceedingly high degree of improbability. ~ Ronald A. Fisher
Mathematical quotes by Ronald A. Fisher
There are patterns within the dimensions," Paul insisted, never looking up again. "Mathematical parallels. It's plausible to hypothesize that these patterns will be reflected in events and people in each dimension. That people who have met in one quantum reality will be likely to meet in another. Certain things that happen will happen over and over, in different ways, but more often than you could explain by chance alone."
"In other words," I said, "you're trying to prove the existence of fate."
I was joking, but Paul nodded slowly, like I'd said something intelligent. "Yes. That's it exactly. ~ Claudia Gray
Mathematical quotes by Claudia Gray
Thus far our meditation on quantum reality has revealed that the world of everyday matter, when properly understood, embodies concepts of extraordinary beauty. Indeed, ordinary matter is built up from atoms that are, in a rich and precise sense, tiny musical instruments. In their interplay with light, they realize a mathematical Music of the Spheres that surpasses the visions of Pythagoras, Plato, and Kepler. In molecules and ordered materials, those atomic instruments play together as harmonious ensembles and synchronized orchestras. ~ Frank Wilczek
Mathematical quotes by Frank Wilczek
I don't believe in natural science. ~ Kurt Godel
Mathematical quotes by Kurt Godel
However gemlike mathematical truths may be, research is but a human endeavor. ~ H. David Burton
Mathematical quotes by H. David Burton
Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by numerous examples that the rigorous method is at the same time the simpler and the more easily comprehended. The very effort for rigor forces us to find out simpler methods of proof. ~ David Hilbert
Mathematical quotes by David Hilbert
Don't you think he may be pursuing an ideal that is hidden in a cloud of unknowing - like an astronomer looking for a star that only a mathematical calculation tells him exists? ~ W. Somerset Maugham
Mathematical quotes by W. Somerset Maugham
There are almost 200 currencies of the world, but there's only one international currency. There are almost 200 currencies controlled by central banks and governments, but there is only one mathematical currency today, and that is bitcoin. We are going to build more of them. Cryptographic currencies are going to be a mainstay of our financial future. They are going to be a part of the future of this planet because they have been invented. It's as simple as that. You cannot un-invent this technology. You cannot turn this omelette back into eggs. ~ Andreas M. Antonopoulos
Mathematical quotes by Andreas M. Antonopoulos
The extraction tax is based in part on production times the market value at the wellhead, so any downturn in the market price is going to be a mathematical impact on the shale tax. But beyond that, it also concerns me because it also impacts the health of the industry. ~ Tom Wolf
Mathematical quotes by Tom Wolf
These forays into the real world sharpened his view that scientists needed the widest possible education. He used to say, "How can you design for people if you don't know history and psychology? You can't. Because your mathematical formulas may be perfect, but the people will screw it up. And if that happens, it means you screwed it up." He peppered his lectures with quotations from Plato, Chaka Zulu, Emerson, and Chang-tzu.

But as a professor who was popular with his students - and who advocated general education - Thorne found himself swimming against the tide. The academic world was marching toward ever more specialized knowledge, expressed in ever more dense jargon. In this climate, being liked by your students was a sign of shallowness; and interest in real-world problems was proof of intellectual poverty and a distressing indifference to theory. ~ Michael Crichton
Mathematical quotes by Michael Crichton
Let us say, in a word, that the correlation between the laws of mathematics and of physics is the evidence of the rational character of nature. Nature may be reduced to motions; and motions can be understood only as force, activity. But the laws which connect motions are fundamentally mathematical laws,- laws of reason. Hence force, activity, can be understood only as rational, as spiritual. Nature is thus seen to mean Activity, and Activity is seen to mean Intelligence ~ John Dewey
Mathematical quotes by John Dewey
Log log log x goes to infinity with great dignity. ~ Daniel Shanks
Mathematical quotes by Daniel Shanks
But science has given us new eyes that allow us to see down to the deeper roots of the world's structure, and there all we see is order and symmetry of pristine mathematical purity. ~ Stephen M. Barr
Mathematical quotes by Stephen M. Barr
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper. ~ George Polya
Mathematical quotes by George Polya
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
Mathematical quotes by Jeff Bridges
If others would but reflect on mathematical truths as deeply and continuously as I have, they would make my discoveries. ~ Carl Friedrich Gauss
Mathematical quotes by Carl Friedrich Gauss
It is in this mutual dependence of the functions and the aid which they reciprocally lend one another that are founded the laws which determine the relations of their organs and which possess a necessity equal to that of metaphysical or mathematical laws, since it is evident that the seemly harmony between organs which interact is a necessary condition of existence of the creature to which they belong and that if one of these functions were modified in a manner incompatible with the modifications of the others the creature could no longer continue to exist. ~ Georges Cuvier
Mathematical quotes by Georges Cuvier
In that moment, the future - uncontainable by any Theorem mathematical or otherwise - stretched out before Colin: infinite and unknowable and beautiful. ~ John Green
Mathematical quotes by John Green
Most programming languages are decidedly inferior to mathematical notation and are little used as tools of thought in ways that would be considered significant by, say, an applied mathematician. ~ Kenneth E. Iverson
Mathematical quotes by Kenneth E. Iverson
5.4 The question of accumulation. If life is a wager, what form does it take? At the racetrack, an accumulator is a bet which rolls on profits from the success of one of the horse to engross the stake on the next one.
5.5 So a) To what extent might human relationships be expressed in a mathematical or logical formula? And b) If so, what signs might be placed between the integers?Plus and minus, self-evidently; sometimes multiplication, and yes, division. But these sings are limited. Thus an entirely failed relationship might be expressed in terms of both loss/minus and division/ reduction, showing a total of zero; whereas an entirely successful one can be represented by both addition and multiplication. But what of most relationships? Do they not require to be expressed in notations which are logically improbable and mathematically insoluble?
5.6 Thus how might you express an accumulation containing the integers b, b, a (to the first), a (to the second), s, v?
B = s - v (*/+) a (to the first)
Or
a (to the second) + v + a (to the first) x s = b
5.7 Or is that the wrong way to put the question and express the accumulation? Is the application of logic to the human condition in and of itself self-defeating? What becomes of a chain of argument when the links are made of different metals, each with a separate frangibility?
5.8 Or is "link" a false metaphor?
5.9 But allowing that is not, if a link breaks, wherein lies the responsibility for ~ Julian Barnes
Mathematical quotes by Julian Barnes
We have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed. ~ James Newman
Mathematical quotes by James Newman
Philosophical knowledge is knowledge which reason gains from concepts; mathematical knowledge is knowledge which reason gains from the construction of concepts. ~ Immanuel Kant
Mathematical quotes by Immanuel Kant
The Golden Number is a mathematical definition of a proportional function which all of nature obeys, whether it be a mollusk shell, the leaves of plants, the proportions of the animal body, the human skeleton, or the ages of growth in man. ~ R. A. Schwaller De Lubicz
Mathematical quotes by R. A. Schwaller De Lubicz
The history of human knowledge has so uninterruptedly shown that to collateral, or incidental, or accidental events we are indebted for the most numerous and most valuable discoveries, that it has at length become necessary, in any prospective view of improvement, to make not only large, but the largest allowances for inventions that shall arise by chance, and quite out of the range of ordinary expectation. It is no longer philosophical to base, upon what has been, a vision of what is to be. Accident is admitted as a portion of the substructure. We make chance a matter of absolute calculation. We subject the unlooked for and unimagined, to the mathematical formulae of the schools. ~ Edgar Allan Poe
Mathematical quotes by Edgar Allan Poe
It is a common observation that a science first begins to be exact when it is quantitatively treated. What are called the exact sciences are no others than the mathematical ones. ~ Charles Sanders Peirce
Mathematical quotes by Charles Sanders Peirce
[...] confusing time with its mathematical progression, as the old do, to whom all the past is not a diminishing road but, instead, a huge meadow which no winter ever touches. ~ William Faulkner
Mathematical quotes by William Faulkner
[Referring to Fourier's mathematical theory of the conduction of heat] ... Fourier's great mathematical poem ... ~ Lord Kelvin
Mathematical quotes by Lord Kelvin
The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events. ~ Gian-Carlo Rota
Mathematical quotes by Gian-Carlo Rota
Unfortunately, I do not find Tegmark's line of reasoning to be extremely compelling. The leap from the existence of an external reality (independent of humans) to the conclusion that, in Tegmark's words, "You must believe in what I call the mathematical universe hypothesis: that our physical reality is a mathematical structure," involves, in my opinion, a sleight of hand. When Tegmark attempts to characterize what mathematics really is, he says: "To a modern logician, a mathematical structure is precisely this: a set of abstract entities with relations between them." But this modern logician is human! In other words, Tegmark never really proves that our mathematics is not invented by humans; he simply assumes it. Furthermore, as the French neurobiologist Jean-Pierre Changeaux has pointed out in response to a similar assertion: "To claim physical reality for mathematical objects, on a level of the natural phenomena we study in biology, poses a worrisome epistemological problem it seems to me. How can a physical state, internal to our brain, represent another physical state external to it? ~ Mario Livio
Mathematical quotes by Mario Livio
We often say that the earth is a sphere, but to be precise, the term sphere refers only to the surface. The correct mathematical term for the solid earth is a ball. ~ Leonard Susskind
Mathematical quotes by Leonard Susskind
The whole is more than the sum of its parts. ~ Aristotle.
Mathematical quotes by Aristotle.
Numbers written on restaurant bills within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe. This single fact took the scientific world by storm. ~ Douglas Adams
Mathematical quotes by Douglas Adams
Every mathematician worthy of the name has experienced ... the state of lucid exaltation in which one thought succeeds another as if miraculously ... this feeling may last for hours at a time, even for days. Once you have experienced it, you are eager to repeat it but unable to do it at will, unless perhaps by dogged work ... ~ Andre Weil
Mathematical quotes by Andre Weil
From the same principles, I now demonstrate the frame of the System of the World. ~ Isaac Newton
Mathematical quotes by Isaac Newton
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