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
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
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the… — Ivars Peterson Copy Share Image
Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an… — Lord Kelvin Copy Share Image
The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have… — G. H. Hardy Copy Share Image
What we do may be small, but it has a certain character of permanence; and to have produced anything of the slightest… — G. H. Hardy 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
Humanism . . . is not a single hypothesis or theorem, and it dwells on no new facts. It is rather a… — William James Copy Share Image
In 1975, ... [speaking with Shiing Shen Chern], I told him I had finally learned ... the beauty of fiber-bundle theory and… — Chen-Ning Yang Copy Share Image
The scientist has to take 95 per cent of his subject on trust. He has to because he can't possibly do all… — Christopher Zeeman 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
Men propound mathematical theorems in besieged cities, conduct metaphysical arguments in condemned cells, make jokes on the scaffold, discuss a new poem… — C. S. Lewis 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
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
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
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
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
Professor Eddington has recently remarked that 'The law that entropy always increases - the second law of thermodynamics - holds, I think,… — Ronald Fisher Copy Share Image
![“In 1975, ... [speaking with Shiing Shen Chern], I told him I had finally learned ... the beauty of fiber-bundle theory and the profound Chern-Weil theorem. I said I found it amazing that gauge fields are exactly connections on fiber bundles, which the mathematicians developed without reference to…” quote by Chen-Ning Yang](https://sms4smile.com/quotes/i/106/chen-ning-yang-73190_beautiful_in-1975-speaking-with-shiing-shen-chern_129052.png)
![“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/i/151/kenneth-arrow-14948_assuming_there-s-only-one-problem-that-bothers-me_1913180.jpg){kind=icon}
![“Professor Eddington has recently remarked that 'The law that entropy always increases - the second law of thermodynamics - holds, I think, the supreme position among the laws of nature'. It is not a little instructive that so similar a law [the fundamental theorem of natural selection] should hold…” quote by Ronald Fisher](https://sms4smile.com/quotes/i/ba5/ronald-fisher-14852_biological-science_professor-eddington-has-recently-remarke_3010389.jpg)
