It would be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said, 'Yes, it is true, but you won't be able to understand the proof. ~Ronald Graham
Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere....
My work always tried to unite the true with the beautiful, but when I had to choose... I usually chose the beautiful. ~ Hermann Weyl T
All truths are easy to understand once they are discovered; the point is to discover them. ~Galileo Galilei
Mathematics is one of the essential emanations of the human spirit, a thing to be valued in and for itself, like art or poetry. ~Oswald Veblen T
I've been giving this lecture to first-year classes for over twenty-five years. You'd think they would begin to understand it by now. ~ J E Littlewood
If you open a mathematics paper at random, on the pair of pages before you, you will find a mistake. ~Joseph Doob
Go down deep enough into anything and you will find mathematics. ~Dean Schlicter
Don't worry about people stealing your ideas. If your ideas are any good, you'll have to ram them down people's throats. ~Howard Aiken
No mathematician can be a complete mathematician unless he is also something of a poet. ~Karl Weierstrass
We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra. ~W. K. Clifford
Geometry is the science of correct reasoning on incorrect figures. ~George Polya
There are certainly people who regard √2 as something perfectly obvious but jib at √-1. This is because they think they can visualise the former as something in physical space but not the latter. Actually √-1 is a much simpler concept . ~Edward Titschma...
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
The best review of arithmetic consists in the study of algebra. ~Florian Cajori
The mathematics are distinguished by a particular p r ivilege, that is, in the course of ages, they may always advance and can never recede. ~Edward Gibbon,
Some people are always critical of vague statements. I tend rather to be critical of precise statements; they are the only ones which can correctly be labeled wrong. ~ Raymond Smullyan
Hence no force, however great, can stretch a cord, however fine, into a horizontal line which is accurately straight: there will always be a bending downwards. ~William Whewell
Whoever ... proves his point and demonstrates the prime truth geometrically should be believed by all the world, for there we are captured ~Albrecht Durer
Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different. -- Johann Wolfgang von Goethe (Maxims and Reflexions, 1829)
Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes. ~Eric T. Bell,
The Moving Finger writes; and, having writ, Moves on : nor all thy Piety nor Wit Shall lure it back to cancel half a Line, Nor all thy Tears wash out a Word of it. The Rubaiyat by Omar Khayyam
“I have found a very great number of exceedingly beautiful theorems.” Pierre de Fermat
In mathematics you don't understand things. You just get used to them. ~ John von Neumann
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. ~Philip J. Davis
A mind which has a taste for scientific inquiry, and has learned the habit of applying its principles readily to the cases which occur, has within itself an inexhaustible source of pure and exciting contemplations. ~John Herschel
Nature is not embarrassed by difficulties of analysis. ~Augustin Fresnel
I have no certainties, at most probabilities Renato Caccioppoli
Scientists study the world as it is, engineers create the world that never has been ~Theodore Von Karman
When you can measure what you are talking about and express it in numbers, you know something about it Lord William Thomson Kelvin (1824-1907)
The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. ~John Kemeny
As for everything else, so for a mathematical theory: beauty can be perceived but not explained. Arthur Cayley
The only way to learn a new programming language is by writing programs in it. - B. Kernighan & D. Ritchie
Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house. ~Henri Poincare
I believe that we do not know anything for certain, but everything probably. ~ Christiaan Huygens
One of the principal objects of theoretical research in my department of knowledge is to find the point of view from which the subject appears in its greatest simplicity. Willard Gibbs (1839 - 1903)
On This Day in Math - April 25
Pure mathematics is the world's best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It's free. It can be played anywhere - Archimedes did it in a bathtub. ~Richard J. Trudeau
Mathematics is like childhood diseases. The younger you get it, the better. ~Arnold Sommerfeld
"Whatever is worth saying, can be stated in fifty words or less" ~ Stanislaw Ulam
Simplicibus itaque verbis gaudet Mathematica Veritas, cum etiam per se simplex sit Veritatis oratio. (So Mathematical Truth prefers simple words since the language of Truth is itself simple.) ~ Tycho Brahe
It can be of no practical use to know that π is irrational, but if we can know, it surely would be intolerable not to know. ~ Edward Titchmarsh
The White Bridge, across from my home in Elk Rapids, Mi. People must understand that science is inherently neither a potential for good nor for evil. It is a potential to be harnessed by man to do his bidding. ~Glenn T. Seaborg
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. The difficulty has its main source in the ambiguity of language. ~Giuseppe Peano
Origami Soma Cubes (see Piet Hein, Deaths, 1996) *The New Origami by Steve and Megumi Biddle A Man of Knowledge like a rich Soil, feeds If not a world of Corn, a world of Weeds. ~Benjamin Franklin
It is nothing short of a miracle that modern methods of instruction have not yet entirely strangled the holy curiosity of inquiry. ~Albert Einstein
Duomo Santa Maria del Fiore, *Wik For since the fabric of the universe is most perfect and the work of a most wise creator, nothing at all takes place in the universe in which some rule of the maximum or minimum does not appear. ~Leonhard Euler
The 'control of nature' is a phrase conceived in arrogance, born of the Neanderthal age of biology and the convenience of man. ~Rachel Carson
A Few Good Men Frustra fit per plura, quod fieri potest per pauciora. It is vain to do with more what can be done with les s. ~William of Ockham
How dare we speak of the laws of chance? Is not chance the antithesis of all law? ~Joseph Bertrand
God runs electromagnetics on Monday, Wednesday, and Friday by the wave theory, and the devil runs it by quantum theory on Tuesday, Thursday, and Saturday. ~Sir Lawrence Bragg
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. The difficulty has its main source in the ambiguity of language. ~Giuseppe Peano
People must understand that science is inherently neither a potential for good nor for evil. It is a potential to be harnessed by man to do his bidding. ~Glenn T. Seaborg
It is nothing short of a miracle that modern methods of instruction have not yet entirely strangled the holy curiosity of inquiry. ~Albert Einstein
A Man of Knowledge like a rich Soil, feeds If not a world of Corn, a world of Weeds. ~Benjamin Franklin
Predictability: Does the flap of a butterfly's wings in Brazil set off a tornado in Texas? ~Edward Lorenz
For since the fabric of the universe is most perfect and the work of a most wise creator, nothing at all takes place in the universe in which some rule of the maximum or minimum does not appear. ~Leonhard Euler
The true business of the philosopher(scientist), though not flattering to his vanity, is merely to ascertain, arrange and condense the facts. ~Sir John Leslie
A Few Good Men Frustra fit per plura, quod fieri potest per pauciora. It is vain to do with more what can be done with les s. ~William of Ockham
For students of chaos and fractals, Poincaré is of course God on Earth. ~Marshall Stone
We used to think that if we knew one, we knew two, because one and one are two. We are finding that we must learn a great deal more about `and'. ~Arthur Eddington
God runs electromagnetics on Monday, Wednesday, and Friday by the wave theory, and the devil runs it by quantum theory on Tuesday, Thursday, and Saturday. ~Sir Lawrence Bragg
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. One can imagine that the ultimate mathematician is one who can see analogies between analogies.
~Stefan Banach
The introduction of the cipher 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps ...'. Alexandre Grothendiech.
Modern science, as training the mind to an exact and impartial analysis of facts, is an education specially fitted to promote citizenship. ~Karl Pearson
Every human activity, good or bad, except mathematics, must come to an end.
~Paul Erdos
Mathematics, however, is, as it were, its own explanation; this, although it may seem hard to accept, is nevertheless true, for the recognition that a fact is so is the cause upon which we base the proof. ~Girolamo Cardano
But mathematics is the sister, as well as the servant, of the arts and is touched by the same madness and genius. ~Marston Morse
Science does not have a moral dimension. It is like a knife. If you give it to a surgeon or a murderer, each will use it differently. ~Wernher von Braun
We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free, but when the chips are down we close the office door and compute with matrices like fury. ~Irving Kaplansky
True greatness is when your name is like ampere, watt, and fourier—when it's spelled with a lower case letter. ~Richard Hamming ( creator of the hamming code, with a lower case h )
The mathematical education of the young physicist [Albert Einstein] was not very solid, which I am in a good position to evaluate since he obtained it from me in Zurich some time ago. ~Hermann Minkowski
Mathworld Wolfram There is no reason why the history and philosophy of science should not be taught in such a way as to bring home to all pupils the grandeur of science and the scope of its discoveries. ~Prince Louis-Victor de Broglie
Scientific discovery consists in the interpretation for our own convenience of a system of existence which has been made with no eye to our convenience at all. ~Norbert Wiener
It is nothing short of a miracle that modern methods of instruction have not yet entirely strangled the holy curiosity of inquiry." ~Albert Einstein
Collected by Google
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