Mathematician Quotes

“What Pascal overlooked was the hair-raising possibility that God might out-Luther Luther. A special area in hell might be reserved for those who go to mass. Or God might punish those whose faith is prompted by prudence. Perhaps God prefers the abstinent to those who whore around with some denomination he despises. Perhaps he reserves special rewards for those who deny themselves the comfort of belief. Perhaps the intellectual ascetic will win all while those who compromised their intellectual integrity lose everything.

There are many other possibilities. There might be many gods, including one who favors people like Pascal; but the other gods might overpower or outvote him, à la Homer. Nietzsche might well have applied to Pascal his cutting remark about Kant: when he wagered on God, the great mathematician 'became an idiot.”
― Walter Kaufmann, Critique of Religion and Philosophy

“Read Euler, read Euler, he is the master of us all.”
― Pierre-Simon Laplace

“The mathematician plays a game in which he himself invents the rules while the physicist plays a game in which the rules are provided by nature, but as time goes on it becomes increasingly evident that the rules which the mathematician finds interesting are the same as those which nature has chosen”
― Paul A.M. Dirac

“What music is to the heart, mathematics is to the mind.”
― Amit Kalantri, Wealth of Words

“A mathematician says that an electromagnetic wave travels from Andromeda to your eye and that it also extends from Andromeda to your eye.”
― Bill Gaede

“Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room...”
― Andrew John Wiles

“The mathematician is in much more direct contact with reality. This may seem a paradox, since it is the physicist who deals with the subject-matter usually described as 'real' ... A chair may be a collection of whirling electrons, or an idea in the mind of God : each of these accounts of it may have its merits, but neither conforms at all closely to the suggestions of common sense. ... neither physicists nor philosophers have ever given any convincing account of what 'physical reality' is, or of how the physicist passes, from the confused mass of fact or sensation with which he starts, to the construction of the objects which he calls 'real'.

A mathematician, on the other hand, is working with his own mathematical reality. ... mathematical objects are so much more what they seem. ... 317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.”
― G.H. Hardy, A Mathematician's Apology

“There is a spooky quality about the ability of mathematicians to get there ahead of physicists. It's as if when Neil Armstrong first landed on the moon he found in the lunar dust the footsteps of Jules Verne.”
― Steven Weinberg

“Abstraction is the cost of generalization.”
― Grant Sanderson

“A mathematician believes that describing the speed of Mercury with equations amounts to science.”
― Bill Gaede

“A mathematician makes plans to travel backwards in time through a wormhole to a parallel universe when he can't even make it to Mars with the fastest rocket on hand today.”
― Bill Gaede

“Asked some years later how he (Abel) had managed to forge ahead so rapidly to the front rank he replied, “By studying the masters, not their pupils”- a prescription some popular writers of textbooks might do well to mention in their prefaces as an antidote to the poisonous mediocrity of their uninspired pedagogics.”
― Eric Temple Bell, Men of Mathematics

“At this point he quit, right in the middle of an important and promising piece of work. He now saw his colleagues partly as relentless, obsessive public prosecutors and security chiefs of logic, and partly as opium eaters, addicts of some strange pale drug that filled their world with visions of numbers and abstract relations. "God help me," he thought, "surely I never could have meant to spend all my life as a mathematician?”
― Robert Musil

“It is an aesthetic principle almost universally acknowledged among mathematicians that the best way to solve a problem is to find an ingenious way not to have to solve it at all.”
― Paul Lockhart, Measurement

“God is a pure mathematician!' declared British astronomer Sir James Jeans. The physical Universe does seem to be organised around elegant mathematical relationships. And one number above all others has exercised an enduring fascination for physicists: 137.0359991.... It is known as the fine-structure constant and is denoted by the Greek letter alpha (α).”
― Paul Davies

“Judged by all practical standards, the value of my mathematical life is nil; and
outside mathematics it is trivial anyhow. I have just one chance of escaping a verdict of
complete triviality, that I may be judged to have created something worth creating. And
that I have created something is undeniable: the question is about its value.

The case for my life, then, or for that of any one else who has been a mathematician in the same sense in which I have been one, is this: that I have added something to knowledge, and helped others to add more; and that these somethings have a value which differs in degree only, and not in kind, from that of the creations of the great mathematicians, or of any of the other artists, great or small, who have left some kind of memorial behind them.”
― G.H. Hardy, A Mathematician's Apology

“Daniel Bernoulli: "Then this distinguished scholar informed me that the celebrated mathematician, Cramer, had developed a theory on the same subject several years before I produced my paper. Indeed I have found his theory so similar to mine that it seems miraculous that we independently reached sch close agreement on this sort of subject.”
― Persi Diaconis, Ten Great Ideas about Chance

“To a scholar, mathematics is music.”
― Amit Kalantri, Wealth of Words

“Total obscurity. Bilbo in Gollum's tunnel.
A mathematician's first steps into unknown territory constitute the first phase of a familiar cycle.
After the darkness comes a faint, faint glimmer of light, just enough to make you think that something is there, almost within reach, waiting to be discovered . . .
Then, after the faint, faint glimmer, if all goes well, you unravel the thread - and suddenly it's broad daylight! You're full of confidence, you want to tell anyone who will listen about what you've found.
And then, after day has broken, after the sun has climbed high into the sky, a phase of depression inevitably follows. You lose all faith in the importance of what you've achieved. Any idiot could have done what you've done, go find yourself a more worthwhile problem and make something of your life. Thus the cycle of mathematical research . . .”
― Cédric Villani, Birth of a Theorem: A Mathematical Adventure

“The truth about Mathematics is that it is not always true.”
― Zain Abdul Nassir

“People who are not skilled at mathematics tend to view the output of second-rate mathematicians with an high level of credulity, and attach almost mystical significance to their findings. Bad maths is the palmistry of the twenty-first century.”
― Rory Sutherland, Alchemy: The Dark Art and Curious Science of Creating Magic in Brands, Business, and Life

“Mathematicians are like Frenchmen: whenever you say something to them, they translate it into their own language, and at once it is something entirely different”
― Johann Wolfgang von Goethe, Maxims and Reflections

“... That little narrative is an example of the mathematician’s art: asking simple and elegant questions about our imaginary creations, and crafting satisfying and beautiful explanations. There is really nothing else quite like this realm of pure idea; it’s fascinating, it’s fun, and it’s free!”
― Paul Lockhart, A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form

“Few rounds....

I am damn good mathematician!

2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998.”
― Deyth Banger

“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels no interest at all in the physical world; but, in so far as he succumbs to this temptation, he will be abandoning his purely mathematical position.”
― G.H. Hardy, A Mathematician's Apology

“I spoke of the 'real' mathematics of Fermat and other great mathematicians, the mathematics which has permanent aesthetic value, as for example the best Greek mathematics has, the mathematics which is eternal because the best of it may, like the best literature, continue to cause intense emotional satisfaction to thousands of people after thousands of years. These men were all primarily pure mathematicians; but I was not thinking only of pure mathematics. 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. It is the dull and elementary parts of applied mathematics, as it is the dull and elementary parts of pure mathematics, that work for good or ill.”
― G.H. Hardy, A Mathematician's Apology

“Mathematics is not just a subject of education system, it is the soul of education system.”
― Amit Kalantri, Wealth of Words

“You can recognize a mathematical physicist because he always asks you for your credentials or lists his without you asking for them.”
― Bill Gaede, Why God Doesn't Exist

“Of course, being a mathematician, I'm always looking for ways to avoid tedious mundane labor. Especially if it means I get to do a bunch of interesting abstract thinking. That's kind of the whole math thing: working hard to find ways to get out of working hard. If you are really, really lazy, and also happen to be really, really clever, then math just might be the life for you (assuming you also have no interest in wealth, fame, or popularity).”
― Paul Lockhart, Arithmetic

“1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321”
― Phuluso Maliavusa