...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling,… — Henri Poincare Copy Share Image
We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry. — Ludwig Wittgenstein Copy Share Image
A pure mathematical series would be one in which each term is derived from the preceding term by a rule. — George Oppen Copy Share Image
Wherever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos. — Eric Temple Bell Copy Share Image
Induction makes you feel guilty for getting something out of nothing, and it is artificial, but it is one of the greatest… — Herbert Wilf Copy Share Image
The control of large numbers is possible, and like unto that of small numbers, if we subdivide them. — Sun Tzu Copy Share Image
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations. — Henri Poincare Copy Share Image
It is utterly implausible that a mathematical formula should make the future known to us, and those who think it can would… — Jacob Bernoulli Copy Share Image
Analysis does not owe its really significant successes of the last century to any mysterious use of sqrt(-1), but to the quite… — Leopold Kronecker Copy Share Image
Although the whole of this life were said to be nothing but a dream and the physical world nothing but a phantasm,… — Gottfried Leibniz Copy Share Image
Economics in college was very poor; I was not very impressed with it. I actually wanted to study statistics. I discovered mathematical… — Kenneth Arrow Copy Share Image
The tree is made by nature, mathematics by people. And combining the two is creating this beautiful alliance between humanity and nature.… — Agnes Denes Copy Share Image
A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It… — David Hilbert Copy Share Image
Mere poets are sottish as mere drunkards are, who live in a continual mist, without seeing or judging anything clearly. A man… — John Dryden Copy Share Image
...learning chiefly in mathematical sciences can so swallow up and fix one's thought, as to possess it entirely for some time; but… — Gilbert Burnet Copy Share Image
In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an… — M. C. Escher Copy Share Image
The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so… — Kurt Gödel Copy Share Image
How many times have I wondered if it is really possible to forge links with a mass of people when one has… — Antonio Gramsci Copy Share Image
Time is said to have only one dimension, and space to have three dimensions. ... The mathematical quaternion partakes of both these… — William Rowan Hamilton Copy Share Image
Cell and tissue, shell and bone, leaf and flower, are so many portions of matter, and it is in obedience to the… — D'Arcy Wentworth Thompson Copy Share Image
As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do… — Blaise Pascal Copy Share Image
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the… — Kenneth E. Iverson Copy Share Image
We know the laws of trial and error, of large numbers and probabilities. We know that these laws are part of the… — Albert Claude 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
Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved… — Ernst Mach Copy Share Image
No, it is a very interesting number, it is the smallest number expressible as a sum of two cubes in two different… — Srinivasa Ramanujan Copy Share Image
Nothing is more important than to see the sources of invention which are, in my opinion more interesting than the inventions themselves. — Gottfried Leibniz Copy Share Image
The space you occupy and the authority you exercise may be measured with mathematical exactness by the service you render. — Napoleon Hill Copy Share Image
To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers. — Paul Klee Copy Share Image
The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom. — Jean Cocteau Copy Share Image
I had a feeling once about mathematics - that I saw it all... but it was after dinner and I let it… — Winston Churchill Copy Share Image
If things are nice there is probably a good reason why they are nice: and if you do not know at least… — Richard Askey Copy Share Image
The purpose of concept art as a genre is to unbrainwash our mathematical and logical faculties. — Henry Flynt Copy Share Image
For many years I was the youngest among my mathematical friends. It makes me melancholy to realize that I now have become… — Stanislaw Ulam Copy Share Image
No human investigation can be called real science if it cannot be demonstrated mathematically. — Leonardo da Vinci Copy Share Image
Do you know what the mathematical expression is for longing? ... The negative numbers. The formalization of the feeling that you are… — Peter Høeg Copy Share Image
Fraulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began. — Albert Einstein Copy Share Image
All the standard equations of mathematical physics can be separated and solved in Kerr geometry. — Subrahmanyan Chandrasekhar Copy Share Image
The assumption that individuals act objectively in accordance with purely mathematical dictates to maximize their gain or utility cannot be sustained by… — Richard Arnold Epstein Copy Share Image
There is no national science, just as there is no national multiplication table; what is national is no longer science. — Anton Chekhov Copy Share Image