Quotes About Mathematical

#1. All mathematical proofs must be deductive. Each proof is a chain of deductive arguments, each of which has its premises and conclusion.

Morris Kline

#2. Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.

Marcus Du Sautoy

#3. 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

#4. Neither concepts nor mathematical formulae can explain the infinite.

Eckhart Tolle

#5. As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.

G.H. Hardy

#6. The strange word nymphomation, used to denote a complex mathematical procedure where numbers, rather than being added together or multiplied or whatever, were actually allowed to breed with each other to produce new numbers.

Jeff Noon

#7. It is clear that economics, if it is to be a science at all, must be a mathematical science.

William Stanley Jevons

#8. Some key physical entities such as empty space, elementary particles and the wavefunction appear to be purely mathematical int he sense that their only intrinsic properties are mathematical properties.

Max Tegmark

#9. After the death of Archimedes in 212 BCE, the topic of motion was effectively abandoned; it did not resurface for another 1,400 years, when Gerard of Brussels revived the mathematical works of Euclid and Archimedes and came very close to defining speed as a ratio of distance to time.

Joseph Mazur

#10. Her concentration was gone, and last night she had had a nightmare about discovering a formalism that let her translate arbitrary concepts into mathematical expressions: then she had proven that life and death were equivalent.

Ted Chiang

#11. The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast.

Bertrand Russell

#12. Ex-Professor Moriarty of mathematical celebrity ... is the Napoleon of crime, Watson.

Arthur Conan Doyle

#13. A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution.

David Hilbert

#14. The secret to my success is actually simple: I failed so many times that succeeding eventually became a mathematical certainty.

Max Hawthorne

#15. Love was even more mathematical than poetry. It was the pure mathematics of the spirit.

Charles Williams

#16. The merit of painting lies in the exactness of reproduction. Painting is a science and all sciences are based on mathematics. No human inquiry can be a science unless it pursues its path through mathematical exposition and demonstration.

Leonardo Da Vinci

#17. Sets are fundamental because every mathematical structure,
object or entity can be described as a set. Logic is fundamental because it
allows us to understand the meanings of statements, to deduce information
about mathematical structures and to uncover further structures.

Richard Heath Hammack

#18. From the time of Kepler to that of Newton, and from Newton to Hartley, not only all things in external nature, but the subtlest mysteries of life and organization, and even of the intellect and moral being, were conjured within the magic circle of mathematical formulae.

Samuel Taylor Coleridge

#19. Music assists him in the use of harmonic and mathematical proportion.

Vitruvius

#20. It is a curious historical fact that modern quantum mechanics began with two quite different mathematical formulations: the differential equation of Schroedinger and the matrix algebra of Heisenberg. The two apparently dissimilar approaches were proved to be mathematically equivalent.

Richard P. Feynman

#21. The mathophobia endemic in contemporary culture blocks many people from learning anything they recognize as 'math,' although they may have no trouble with mathematical knowledge they do not perceive as such.

Seymour Papert

#22. 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

#23. Computer science is to biology what calculus is to physics. It's the natural mathematical technique that best maps the character of the subject.

Harold Morowitz

#24. I had made an empirical discovery and it carried all the weight of a mathematical proof.

Paul Auster

#25. No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.

George Boole

#26. Art is based on very clear, mathematical principles like proportion and harmony. At the same time, physicists need to be inventive, to have ideas, to have some fantasy.

Fabiola Gianotti

#27. I swam the race like I trained to swim it. It is not mathematical. I just let my body do it. It is a lot easier if you let your body do what it is trained for.

Ian Thorpe

#28. You kind of alluded to it in your introduction. I mean, for the last 300 or so years, the exact sciences have been dominated by what is really a good idea, which is the idea that one can describe the natural world using mathematical equations.

Stephen Wolfram

#29. The gut-feel of the 55-year old trader is more important than the mathematical elegance of the 25-year old genius.

Alan Greenspan

#30. Our external physical reality is a mathematical structure.

Max Tegmark

#31. Music is a science, in many ways it's mathematical.

Steve Winwood

#32. A time will however come (as I believe) when physiology will invade and destroy mathematical physics, as the latter has destroyed geometry.

John B. S. Haldane

#33. We're looking at a quandary here where Bernie's [Sanders] the winner on a moral and even a political basis. He's made history, and she's the winner on the mathematical basis.

Tom Hayden

#34. The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.

Andrew Wiles

#35. Now, the velocity of wave propagation can be seen, without the aid of any mathematical analysis, to depend on the elasticity of the medium and its density; for we can see that if a medium is highly elastic the disturbance would be propagated at a great speed.

Albert A. Michelson

#36. For me, rhythm is a type of divine mathematics in a way. No matter where you're from, we can all understand the mathematics of rhythm. I try to apply this mathematical thinking to my playing.

John McLaughlin

#37. I use minimal software to make my music - a wav editor and a calculator for my beats to make sure everything falls on mathematical precision. If you were just mapping this out visually, it works by math. I guess it's slightly engineering influenced.

Girl Talk

#38. I was very much on the mathematical side, where you probably do your best work before you're forty-five. Having passed that significant date, I thought I would do something else.

John Polkinghorne

#39. You'll often see posts about people beating the CAP theorem. They haven't. What they have done is create a system where some capabilities are CP, and some are AP. The mathematical proof behind the CAP theorem holds. Despite many attempts at school, I've learned that you don't beat math.

Sam Newman

#40. A book on the new physics, if not purely descriptive of experimental work, must essentially be mathematical.

Paul Dirac

#41. It always seems odd to me that the fundamental laws of physics, when discovered, can appear in so many different forms that are not apparently identical at first, but, with a little mathematical fiddling, you can show the relationship.

Richard P. Feynman

#42. [On Archimedes mathematical results:] It is not possible to find in all geometry more difficult and intricate questions, or more simple and lucid explanation ... No investigation of yours would succeed in attaining the proof, and yet, once seen you immediately believe you would have discovered it.

Proclus

#43. 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

#44. Under the federal reserve act, panics are scientifically created. The present panic is the first scientifically created one, worked out as we figured, a mathematical equation.

Charles Lindbergh

#45. She isn't my mother." He meant, of course, by simple mathematical extension, that his mother wasn't Teddy's mother either. Which meant that Bernadette, for whom he had lit a thousand candles, was the mother to whom his enormous love and devotion had no claim.

Ann Patchett

#46. God has the Big Book, the beautiful proofs of mathematical theorems are listed here.

Paul Erdos

#47. Topology is precisely the mathematical discipline that allows the passage from local to global ...

Rene Thom

#48. The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.

Edsger Dijkstra

#49. It was mathematical, marriage. Not, as one might expect, additional. It was exponential.

Lauren Groff

#50. It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.

Mark Kac

#51. [Grief] is everything. It is the fabric of selfhood, and beautifully chaotic. It shares mathematical characteristics with many natural forms.

Max Porter

#52. What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.

Timothy Gowers

#53. At every major step, physics has required, and frequently stimulated, the introduction of new mathematical tools and concepts. Our present understanding of the laws of physics, with their extreme precision and universality, is only possible in mathematical terms.

Michael Atiyeh

#54. It's the vision of the composer that we have to determine, and not the absolute mathematical adherence of the score. In my experience, there have been occasions where I feel that a composer has not notated something as they meant to have it represented.

Marc-Andre Hamelin

#55. A bird is an instrument working according to mathematical law, which instrument it is within the capacity of man to reproduce with all its movements.

Leonardo Da Vinci

#56. Kepler and Newton represent a critical transition in human history, the discovery that fairly simple mathematical laws pervade all of Nature; that the same rules apply on Earth as in the skies; and that there is a resonance between the way we think and the way the world works.

Carl Sagan

#57. I have often noticed that when people come to understand a mathematical proposition in some other way than that of the ordinary demonstration, they promptly say, "Oh, I see. That's how it must be." This is a sign that they explain it to themselves from within their own system.

Georg C. Lichtenberg

#58. However gemlike mathematical truths may be, research is but a human endeavor.

H. David Burton

#59. Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

Charles Sanders Peirce

#60. And for mathematical science, he that doubts their certainty hath need of a dose of hellebore.

Joseph Glanvill

#61. Winwood Reade is good upon the subject," said Holmes. "He remarks that, while the individual man is an insoluble puzzle, in the aggregate he becomes a mathematical certainty.

Arthur Conan Doyle

#62. In 1688, Edward Lloyd opened a coffeehouse on London's seafront popular among underwriters, men in powdered wigs with mathematical minds and steely constitutions who offered to compensate owners if their boats were lost at sea.

Charles Duhigg

#63. Rejecting God's truth b/c of mankind's hypocrisy is like rejecting mathematical truth b/c mankind's incompetence.

Orrin Woodward

#64. He had an ego so large that only by contemplating the mathematical definition of infinity could anything so limitless be imagined.

Robert Anton Wilson

#65. Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.

Stephen Cole Kleene

#66. Nobody ever looks in the mirror and says, "Let's face it, I'm smarter than Gauss." And yet, in the last hundred years, the joined effort of all these dummies-compared-to-Gauss has produced the greatest flowering of mathematical knowledge the world has ever seen.

Jordan Ellenberg

#67. But a human, in its own small way, was a kind of miraculous achievement, in mathematical terms.

Matt Haig

#68. With the computer and programming languages, mathematics has newly-acquired tools, and its notation should be reviewed in the light of them. The computer may, in effect, be used as a patient, precise, and knowledgeable "native speaker" of mathematical notation.

Kenneth E. Iverson

#69. Nothing has done more to render modern economic theory a sterile and irrelevant exercise in autoeroticism than its practitioners' obsession with mathematical, general-equilibrium models.

Robert Higgs

#70. We are mathematical equations where your life is the sum of all choices you've made until now. The good news is you can change the equation so that you start making a difference in your life.

Steve Maraboli

#71. A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales.

Benoit Mandelbrot

#72. The assumption that individuals act objectively in accordance with purely mathematical dictates to maximize their gain or utility cannot be sustained by empirical observation.

Richard Arnold Epstein

#73. Music rhythms are mathematical patterns. When you hear a song and your body starts moving with it, your body is doing math. The kids in their parents' garage practicing to be a band may not realize it, but they're also practicing math.

Kareem Abdul-Jabbar

#74. Most of the early modern scientists were Christians; they believed that matter was *not* preexisting, but had come from the hand of God. Thus, it had no power to resist His will but would obey he rules He had laid down- with mathematical precision.

Nancy Pearcey

#75. There is coming an era for people with a mathematical state of mind

Yuri Milner

#76. Gauss replied, when asked how soon he expected to reach certain mathematical conclusions, that he had them long ago, all he was worrying about was how to reach them!

Rene Dubos

#77. Ever since the Enlightenment, people thought that we were living in a rational universe. They thought that God was a mathematician and that the function of the scientist was to figure out the mathematical rules whereby the universe was created.

Eric Kandel

#78. There has to be a mathematical explanation for how bad that tie is.

Russell Crowe

#79. The mathematical likelihood that God exists is astronomical. But the idea that our limited human mentality can understand the true nature of God borders on the ridiculous. For this reason the religionist and the ahteist are equally naive.

Keith David Henry

#80. I think part of the appeal of mathematical logic is that the formulas look mysterious - You write backward Es!

Hilary Putnam

#81. Design and technology should be the subject where mathematical brainboxes and science whizzkids turn their bright ideas into useful products.

James Dyson

#82. The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill.

Albert Einstein

#83. Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.

Barry Mazur

#84. I think visual literacy and media literacy is not without value, but I think plain old-fashioned text literacy and mathematical literacy are much more powerful and flexible ways to organize your mind.

Neal Stephenson

#85. One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation. First, the symbols of operation are frequently also the symbols of the results of operations.

Ada Lovelace

#86. Mathematical discoveries, like springtime violets in the woods, have their season which no man can hasten or retard.

Janos Bolyai

#87. It's not the mathematical skill that's critical to winning; it's the discipline of being able to stick to the system.

Blair Hull

#88. The more I study the things of the mind the more mathematical I find them. In them as in mathematics it is a question of quantities; they must be treated with precision. I have never had more satisfaction than in proving this in the realms of art, politics and history.

Hippolyte Taine

#89. The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.

Marquis De Custine

#90. A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.

David Hilbert

#91. A mathematical formula should never be "owned" by anybody! Mathematics belong to God.

Donald Knuth

#92. Men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite , which dislocate all mathematical operations.

Arthur Koestler

#93. Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it.

Richard P. Feynman

#94. The mathematician's best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch one another.

Gosta Mittag-Leffler

#95. The mathematical phenomenon always develops out of simple arithmetic, so useful in everyday life, out of numbers, those weapons of the gods: the gods are there, behind the wall, at play with numbers.

Le Corbusier

#96. The game of life does not proceed like a mathematical calculation on the principle that two and two make four. Sometimes they make five, or minus four, and sometimes the blackboard topples over in the middle of the sum and the pedagogue is left with a black eye.

Winston S. Churchill

#97. The computer can't tell you the emotional story. It can give you the exact mathematical design, but what's missing is the eyebrows.

Frank Zappa

#98. Cyberspace is the human transition into a mathematical super space where we as a collectivity become optionally a single point of view.

Terence McKenna

#99. The mere formulation of a problem is far more essential than its solution, which may be merely a matter of mathematical or experimental skills. To raise new questions, new possibilities, to regard old problems from a new angle requires creative imagination and marks real advances in science.

Albert Einstein

#100. If there is something very slightly wrong in our definition of the theories, then the full mathematical rigor may convert these errors into ridiculous conclusions.

Richard P. Feynman