I had made an empirical discovery and it carried all the weight of a mathematical proof. — Paul Auster Copy Share Image
There was, I think, a feeling that the best science was that done in the simplest way. In experimental work, as in… — John Ashworth Ratcliffe Copy Share Image
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such… — Timothy Gowers Copy Share Image
Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by… — David Hilbert Copy Share Image
Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis… — Paul Halmos Copy Share Image
Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning. — John Locke Copy Share Image
It is my experience that proofs involving matrices can be shortened by 50% if one throws the matrices out. — Emil Artin Copy Share Image
When you can measure what you are speaking about, and express it in numbers, you know something about it. — Lord Kelvin Copy Share Image
Mathematics is not a deductive science, that's a cliché ... What you do is trial and error, experimentation, guesswork. — Paul Halmos Copy Share Image
I read in the proof sheets of Hardy on Ramanujan: "As someone said, each of the positive integers was one of his… — John Edensor Littlewood Copy Share Image
... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the… — Bertrand Russell Copy Share Image
A mathematician's reputation rests on the number of bad proofs he has given. — Abram Samoilovitch Besicovitch 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
We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal… — Hermann Weyl Copy Share Image
As far as I know, Clifford Pickover is the first mathematician to write a book about areas where math and theology overlap.… — Martin Gardner Copy Share Image
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and… — Mary Somerville Copy Share Image
To divide a cube into two other cubes, a fourth power, or in general any power whatever into two powers of the… — Pierre de Fermat Copy Share Image
Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible… — Ibn Khaldun Copy Share Image
A mathematical proof is beautiful, but when you're finished, it's really only about one thing. A story can be about many things. — Bonnie Jo Campbell Copy Share Image
In a way, composing on the melodic level is an expression of a melodic truth, almost like a geometric truth. If it… — Eyvind Kang Copy Share Image
Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does… — Charles Proteus Steinmetz Copy Share Image
No human investigation can claim to be scientific if it doesn't pass the test of mathematical proof. — Leonardo da Vinci Copy Share Image
Poverty is a mathematical proof of the fact that mankind is a big failure! — Mehmet Murat Ildan Copy Share Image
