It is not so much whether a theorem is useful that matters, but how elegant it is. — Stanislaw Ulam Copy Share Image
A mathematician experiments, amasses information, makes a conjecture, finds out that it does not work, gets confused and then tries to recover.… — Steven G. Krantz Copy Share Image
A peculiarity of the higher arithmetic is the great difficulty which has often been experienced in proving simple general theorems which had… — Harold Davenport Copy Share Image
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which… — G. H. Hardy Copy Share Image
The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the… — G. H. Hardy Copy Share Image
Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To… — Marvin Minsky Copy Share Image
I just enjoy calculating, and it's an instrument I know how to play. It's almost an athletic performance, in a way. I… — Freeman Dyson Copy Share Image
Math does come easily to me, but I was always much more interested in what theorems imply about the world than in… — Antony Garrett Lisi Copy Share Image
In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a… — Martin Gardner Copy Share Image
Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning… — Christopher Zeeman Copy Share Image
One way of looking at Impossibility Theorem is that we proposed some criteria for what a good system should be: what is… — Kenneth Arrow Copy Share Image
Combinatorial analysis, in the trivial sense of manipulating binomial and multinomial coefficients, and formally expanding powers of infinite series by applications ad… — Richard Askey Copy Share Image
Now, one of my beliefs, one of my theorems that I have evolved over the years is that when it comes to… — Rush Limbaugh Copy Share Image
I have a basic theorem as to how I do my jokes. Growing up, I knew when to cross the line and… — Larry the Cable Guy Copy Share Image
Papers should include more side remarks, open questions, and such. Very often, these are more interesting than the theorems actually proved. Alas,… — Jean-Pierre Serre Copy Share Image
The Limbaugh Theorem is the way Obama gets away with no accountability for anything he's done is he never was perceived as… — Rush Limbaugh Copy Share Image
One would normally define a "religion" as a system of ideas that contain statements that cannot be logically or observationally demonstrated... Gödels… — John D. Barrow Copy Share Image
The primes are the raw material out of which we have to build arithmetic, and Euclid's theorem assures us that we have… — G. H. Hardy Copy Share Image
We decided that 'trivial' means 'proved'. So we joked with the mathematicians: We have a new theorem- that mathematicians can prove only… — Richard P. Feynman Copy Share Image
All I remember about the examination is that there was a question on Sturm's theorem about equations, which I could not do… — Louis J. Mordell Copy Share Image
Mathematics does not grow through a monotonous increase of the number of indubitably established theorems but through the incessant improvement of guesses… — Imre Lakatos Copy Share Image
Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems. — Carl Pomerance Copy Share Image
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application… — George Polya Copy Share Image
My favourite fellow of the Royal Society is the Reverend Thomas Bayes, an obscure 18th-century Kent clergyman and a brilliant mathematician who… — Bill Bryson Copy Share Image
The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its… — IU?. I. Manin Copy Share Image
Unlike mathematical theorems, scientific results can't be proved. They can only be tested again and again, until only a fool would not… — Seth Lloyd Copy Share Image
Never call yourself a philosopher, nor talk a great deal among the unlearned about theorems, but act conformably to them. Thus, at… — Epictetus Copy Share Image
...contemporary physicists come in two varieties. Type 1 physicists are bothered by EPR and Bell's Theorem. Type 2 (the majority) are not,… — David Mermin Copy Share Image
There's only one problem that bothers me. And that's something my theorem [ of Impossibility] really doesn't cover. In my theorem I… — Kenneth Arrow Copy Share Image
For what is important when we give children a theorem to use is not that they should memorize it. What matters most… — Seymour Papert Copy Share Image
Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that… — Endre Szemeredi Copy Share Image
I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few… — Steven Chu Copy Share Image
What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking,… — Stanislaw Ulam Copy Share Image
Humans like to think of themselves as unusual. We've got big brains that make it possible for us to think, and we… — Mark Pagel Copy Share Image
Did chemistry theorems exist? No: therefore you had to go further, not be satisfied with the quia, go back to the origins,… — Primo Levi Copy Share Image
When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas… — Gottfried Leibniz Copy Share Image
I think it is said that Gauss had ten different proofs for the law of quadratic reciprocity. Any good theorem should have… — Michael Atiyah Copy Share Image
Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems. — Carl Friedrich Gauss Copy Share Image
I have found a very great number of exceedingly beautiful theorems. — Pierre de Fermat Copy Share Image
![“There's only one problem that bothers me. And that's something my theorem [ of Impossibility] really doesn't cover. In my theorem I was assuming people vote sincerely. The trouble with methods where you have three or four classes, I think if people vote sincerely they may well be very…” quote by Kenneth Arrow](https://sms4smile.com/quotes/img-quotes/151/kenneth-arrow-14948_assuming_there-s-only-one-problem-that-bothers-me_1913180.jpg){kind=icon}
