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
Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency. — Rene Descartes
Mathematics is the supreme judge; from its decisions there is no appeal. — Tobias Dantzig
Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them. — Joseph Fourier
The highest form of pure thought is in mathematics. — Plato
Mathematics, rightly viewed, possesses not only truth, but supreme beauty-a beauty cold and austere ... yet sublimely pure and capable of stern perfection such as only the greatest art can show. — Bertrand Russell
Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field. — Paul Dirac
Technology is applied science. Science is the study of nature. Mathematics is the language of nature. Philosophy is the root of mathematics. All tightly interrelated. — Naval Ravikant
For the things of this world cannot be made known without a knowledge of mathematics. — Roger Bacon
Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty. — Deepak Chopra
Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful. — Doron Zeilberger
But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius. — Marston Morse
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful. — Aristotle
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. — David Hilbert
Short Mathematics And Science Quotes
Mathematics rightly viewed possesses not only truth but supreme beauty. — Bertrand Russell
All the mathematical sciences are founded on relations between physical laws and laws of numbers. — James Clerk Maxwell
Mathematics is the language with which God has written the universe. — Galileo Galilei
At Harvard I majored in chemistry with a strong inclination toward math. — William Standish Knowles
Mathematics allows for no hypocrisy and no vagueness. — Stendhal
The only way to learn mathematics is to do mathematics. — Paul Halmos
Study logic and math, because once you’ve mastered them, you won’t fear any book. — Naval Ravikant
The understanding of mathematics is necessary for a sound grasp of ethics. — Socrates
Top 10 Mathematics And Science Quotes
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. — John Von Neumann
Young man, in mathematics you don't understand things. You just get used to them. — John Von Neumann
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician. — Gottlob Frege
In order to solve this differential equation you look at it until a solution occurs to you. — George Polya
Science and art sometimes can touch one another, like two pieces of the jigsaw puzzle which is our human life, and that contact may be made across the boderline between the two respective domains. — M. C. Escher
When you can measure what you are speaking about, and express it in numbers, you know something about it. — Lord Kelvin
The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty. — D'Arcy Wentworth Thompson
If your experiment needs statistics, you ought to have done a better experiment. — Ernest Rutherford
Creativity is essential to particle physics, cosmology, and to mathematics, and to other fields of science, just as it is to its more widely acknowledged beneficiaries - the arts and humanities. — Lisa Randall
I think people who vibrate at the same frequency, vibrate toward each other. They call it, in science, sympathetic vibrations.
Math And Science Quotes
The most important thing we can do is inspire young minds and to advance the kind of science, math and technology education that will help youngsters take us to the next phase of space travel. — John Glenn
There is geometry in the humming of the strings, there is music in the spacing of the spheres. — Pythagoras
I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind. — Lord Kelvin
What is now proved was once only imagined.
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. — G. H. Hardy
A mathematician is a blind man in a dark room looking for a black cat which isn't there. — Charles Darwin
Read the greats in math, science, and philosophy. Ignore your contemporaries and news. Avoid tribal identification. Put truth above social approval. — Naval Ravikant
Quantum physics tells us that nothing that is observed is unaffected by the observer. That statement, from science, holds an enormous and powerful insight. It means that everyone sees a different truth, because everyone is creating what they see.
To divide a cube into two other cubes, a fourth power, or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it. — Pierre de Fermat
I learned that despite having years and years of experience in math and computer science and so on, I didn't really know how to code until I formed a company. — Balaji Srinivasan
Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection. — Hermann Weyl
If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy. — Alfred Renyi
Numbers And Math Quotes
Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful.
If you don’t see why, someone can’t tell you. I know numbers are beautiful.
If they aren’t beautiful, nothing is. — Paul Erdos
He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side. — Plato
Why do we believe that in all matters the odd numbers are more powerful? — Pliny The Elder
Lottery: A tax on people who are bad at math.
The purpose of computing is insight, not numbers. — Richard Hamming
In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure. — Hermann Hankel
If equations are trains threading the landscape of numbers, then no train stops at pi. — Richard Preston
Design is where science and art break even.
I know numbers are beautiful. If they aren't beautiful, nothing is. — Paul Erdos
Mathematics is as much an aspect of culture as it is a collection of algorithms. — Carl Benjamin Boyer
Black holes result from God dividing the universe by zero. — Steven Wright
There was a young fellow from Trinity,
Who took the square root of infinity.
But the number of digits, Gave him the fidgets;
He dropped Math and took up Divinity. — George Gamow
Math And Music Quotes
A mathematician, like a painter or a poet, is a maker of patterns. — G. H. Hardy
The mathematician's patterns, like the painter's or the poet's, must be beautiful. — G. H. Hardy
Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity. — G. H. Hardy
Science is the best idea humans have ever had. The more people who embrace that idea, the better.
Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind. — Hermann Weyl
A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful? — Martin Gardner
Music is a more potent instrument than any other for education. — Plato
Every day sees humanity more victorious in the struggle with space and time.
Math and music are intimately related. Not necessarily on a conscious level, but sure. — Stephen Sondheim
We need more math classes, we need more science. It's the art of math and the art of science that creates all the innovation, and we have a tradition of great arts, great music. — Wynton Marsalis
They look at what's more important, like subjects to help with the SAT's, etc. They miss that music is vital. It offers a break from a stressful day of science and math and it's different. — Justin Guarini
If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics. — George Santayana
Math Education Quotes
We are all concerned about the future of American education. But as I tell my students, you do not enter the future - you create the future. The future is created through hard work. — Jaime Escalante
It is a capital mistake to theorize before one has data. Insensibly one begins to twist facts to suit theories, instead of theories to suit facts. — Arthur Conan Doyle
I never teach my pupils, I only attempt to provide the conditions in which they can learn. — Albert Einstein
It is better to solve one problem five different ways, than to solve five problems one way. — George Polya
One's work may be finished someday, but one's education never. — Alexandre Dumas
But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not. — Johann Bernoulli
Beauty in mathematics is seeing the truth without effort. — George Polya
Scientific research and other studies have demonstrated that arts education can enhance American students' math and language skills and improve test scores which in turn increase chances of higher education and good jobs in the future. — Thad Cochran
The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. — John G. Kemeny
The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method. — Paul Halmos
Studying Mathematics Quotes
It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth. — Jean Piaget
Your most important skill isn’t even what you majored in or even what you studied, it’s just knowing how to learn. If you have a good grasp of mathematics and if you like to read, there’s nothing you can’t learn on your own. — Naval Ravikant
I must study politics and war that my sons may have liberty to study mathematics and philosophy. — John Adams
I have to study politics and war so that my sons can study mathematics, commerce and agriculture, so their sons can study poetry, painting and music. — John Quincy Adams
Study microeconomics, game theory, psychology, persuasion, ethics, mathematics, and computers. — Naval Ravikant
It is a well-known experience that the only truly enjoyable and profitable way of studying mathematics is the method of "filling in details" by one's own efforts. — Cornelius Lanczos
It is clear that the chief end of mathematical study must be to make the students think. — John Wesley Young
Everything you've learned in school as "obvious" becomes less and less obvious as you begin to study the universe. For example, there are no solids in the universe. There's not even a suggestion of a solid. There are no absolute continuums. There are no surfaces. There are no straight lines. — Richard Buckminster Fuller
The profound study of nature is the most fertile source of mathematical discovery. — Joseph Fourier
Mathematics Quotes
The laws of nature are written by the hand of God in the language of mathematics. — Galileo Galilei
To make a great dream come true, the first requirement is a great capacity to dream; the second is persistence. — Cesar Chavez
The laws of nature are but the mathematical thoughts of God. — Euclid
No, it is a very interesting number, it is the smallest number expressible as a sum of two cubes in two different ways. — Srinivasa Ramanujan
Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty. — Archimedes
Not only is the Universe stranger than we think, it is stranger than we can think. — Werner Heisenberg
To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in. — Richard P. Feynman
Physics is to mathematics what sex is to masturbation. — Richard P. Feynman
Geometry enlightlens the intellect and sets one's mind right — Ibn Khaldun
Applied Mathematics Quotes
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians. — Edsger Dijkstra
I started John W. Henry & Company because I enjoyed applying mathematics to markets, and it was a profound challenge that resonated within me. — John W. Henry
It was as though applied mathematics was my spouse, and pure mathematics was my secret lover. — Edward Frenkel
I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as "useless" as the theory of numbers. — G. H. Hardy
I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto. — Walter Kohn
Applied mathematics will always need pure mathematics just as anteaters will always need ants. — Paul Halmos
Mathematics should be mixed not only with physics but with ethics. — Henry David Thoreau
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. — Henry David Thoreau
There are two types of mind . . . the mathematical, and what might be called the intuitive. The former arrives at its views slowly, but they are firm and rigid; the latter is endowed with greater flexibility and applies itself simultaneously to the diverse lovable parts of that which it loves. — Blaise Pascal
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. — Nikolai Lobachevsky
Learning Math Quotes
In school, my favorite subject was math. That's where I learned to count money. — French Montana
Geometry is the foundation of all painting. — Albrecht Durer
I'd never been a teacher before, and here I was starting my first day with these eager students. There was a shortage of teachers, and they had been without a math teacher for six months. They were so excited to learn math. — Andrew Shue
Obvious is the most dangerous word in mathematics. — Eric Temple Bell
A circle is a round straight line with a hole in the middle. — Mark Twain
Children are coming to school with trauma, everyday trauma, that they live under: violence in the homes, alcoholism in the community, unemployment thats 80 percent, not just during the recession. We need to help treat that before they can even go sit in a class and learn about math. — Denise Juneau
Mighty is geometry; joined with art, resistless. — Euripides
The real satisfaction from mathematics is in learning from others and sharing with others. — William Thurston
Geometry is the science of correct reasoning on incorrect figures. — George Polya
So what should we say when children complete a task—say, math problems—quickly and perfectly? Should we deny them the praise they have earned? Yes. When this happens, I say, “Whoops. I guess that was too easy. I apologize for wasting your time. Let’s do something you can really learn from! — Carol S. Dweck
Mathematical Problems Quotes
In mathematics, if I find a new approach to a problem, another mathematician might claim that he has a better, more elegant solution. In chess, if anybody claims he is better than I, I can checkmate him. — Emanuel Lasker
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about. — Andrew Wiles
Bitcoin is a solution out of that problem [money printing]. It’s a system change. — Jeff Booth
Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics. Physicist: I'm afraid I don't understand the method of characteristics. Neumann: In mathematics you don't understand things. You just get used to them. — John Von Neumann
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
All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers. — James C. Maxwell
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
Can’t be starting all these problems if you cannot solve them. — Cardi B
If there is a problem you can't solve, then there is an easier problem you can't solve: find it. — George Polya
In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way. — Leonhard Euler
What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant. — James Sanborn
Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank. — Carl Friedrich Gauss
Mathematics is not something that you find lying around in your back yard. It's produced by the human mind. Yet if we ask where mathematics works best, it is in areas like particle physics and astrophysics, areas of fundamental science that are very, very far removed from everyday affairs. — Paul Davies
[Kepler] preferred the hard truth to his dearest illusions, and that is the heart of science. — Carl Sagan
I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither sufficiently discipline the mind or sufficiently extend our knowledge in a subject like physics. — Balfour Stewart
The general mental qualification necessary for scientific advancement is that which is usually denominated "common sense," though added to this, imagination, induction, and trained logic, either of common language or of mathematics, are important adjuncts. — Joseph Henry
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. — Philip J. Davis
My undergraduate, I double-majored in biology and chemistry. Biology was kind of my love. — Peggy Whitson
The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree. — Aristotle
Mathematical Knowledge adds a manly Vigour to the Mind, frees it from Prejudice, Credulity, and Superstition. — John Arbuthnot
If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries. — Carl Friedrich Gauss
The essential fact is that all the pictures which science now draws of nature, and which alone seem capable of according with observational facts, are mathematical pictures. — James Jeans
The more you know, the less sure you are. — Voltaire
I like to think of mathematicians as forming a nation of our own without distinctions of geographical origin, race, creed, sex, age or even time... all dedicated to the most beautiful of the arts and sciences. — Julia Robinson
There are three kinds of people: those who can count, and those who cannot. — George Carlin
Mathematics began to seem too much like puzzle solving. Physics is puzzle solving, too, but of puzzles created by nature, not by the mind of man. — Maria Goeppert-Mayer
Beauty is the first test: there is no permanent place in the world for ugly mathematics. — G. H. Hardy
Neglect of mathematics work injury to all knowledge, since he who is ignorant of it cannot know the other sciences or things of this world. And what is worst, those who are thus ignorant are unable to perceive their own ignorance, and so do not seek a remedy. — Roger Bacon
In Conclusion
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