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
Theorems are not to mathematics what successful courses are to a meal. — Gian-Carlo Rota 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 am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For… — Archimedes Copy Share Image
If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to… — Martin Gardner Copy Share Image
There's no answer for my offense, just like the polythagorean theorem. — Shaquille O'Neal Copy Share Image
We may consequently state the fundamental theorem of Natural Selection in the form: The rate of increase in fitness of any organism… — Ronald Fisher 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
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
A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution. — Richard Arnold Epstein Copy Share Image
The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so… — Kurt Gödel Copy Share Image
Bells theorem dealt a shattering blow to Einsteins position by showing that the conception of reality as consisting of separate parts, joined… — Fritjof Capra Copy Share Image
About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's… — John Aubrey Copy Share Image
It is not so much whether a theorem is useful that matters, but how elegant it is. — Stanislaw Ulam 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
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
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
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 principle is so perfectly general that no particular application of it is possible. — George Polya Copy Share Image
Gradually, at various points in our childhoods, we discover different forms of conviction. There's the rock-hard certainty of personal experience ("I put… — Philip Pullman Copy Share Image
Bell's theorem...proves that quantum theory requires connections that appear to resemble telepathic communication. — Gary Zukav Copy Share Image
If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try to see… — George Polya 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
Toward the end of his life, Gödel feared that he was being poisoned, and he starved himself to death. His theorem is… — Brian L. Silver 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
