Thus we can get the correct answer for the probability of partial reflection by imagining (falsely) that all reflection comes from only… — Richard P. Feynman Copy Share Image
To my mathematical brain, the numbers alone make thinking about aliens perfectly rational. The real challenge is to work out what aliens… — Stephen Hawking Copy Share Image
If I were asked to name, in one word, the pole star round which the mathematical firmament revolves, the central idea which… — James Joseph Sylvester Copy Share Image
The art of discovering the causes of phenomena, or true hypothesis, is like the art of decyphering, in which an ingenious conjecture… — Gottfried Leibniz Copy Share Image
Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the… — William Thurston Copy Share Image
Are mathematical ideas invented or discovered? This question has been repeatedly posed by philosophers through the ages and will probably be with… — Gian-Carlo Rota Copy Share Image
I know this world is ruled by infinite intelligence. Everything that surrounds us- everything that exists - proves that there are infinite… — Thomas A. Edison Copy Share Image
We are so presumptuous that we should like to be known all over the world, even by people who will only come… — Blaise Pascal Copy Share Image
Perspective is an Art Mathematical which demonstrates the manner and properties of all radiations direct, broken and reflected. — John Dee Copy Share Image
Remembering that Eratosthenes of Cyrene, employing mathematical theories and geometrical methods, discovered from the course of the sun, the shadows cast by… — Marcus Vitruvius Pollio Copy Share Image
Sometimes a line of mathematical research extending through decades can be thought of as one long conversation in which many mathematicians take… — Barry Mazur Copy Share Image
In short, I do not write for mathematicians, nor as a mathematician, but as an economist wishing to convince other economists that… — William Stanley Jevons Copy Share Image
If nature leads us to mathematical forms of great simplicity and beauty - by forms I am referring to coherent systems of… — Werner Heisenberg Copy Share Image
Thus number may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as… — James Clerk Maxwell Copy Share Image
Chaos has come to be associated with the study of anything complex, but, in fact, the mathematical techniques are directly applicable only… — Neil Gershenfeld Copy Share Image
Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up… — James Joseph Sylvester Copy Share Image
He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times. — Gottfried Leibniz Copy Share Image
The gut-feel of the 55-year old trader is more important than the mathematical elegance of the 25-year old genius. — Alan Greenspan Copy Share Image
Now, the velocity of wave propagation can be seen, without the aid of any mathematical analysis, to depend on the elasticity of… — Albert A. Michelson Copy Share Image
I combat the errors of ages; I meet the violence of mobs; I cope with illegal proceedings from executive authority; I cut… — Joseph Smith, Jr Copy Share Image
It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and… — Jean Piaget Copy Share Image
I regard it as an inelegance, or imperfection, in quaternions, or rather in the state to which it has been hitherto unfolded,… — William Rowan Hamilton Copy Share Image
As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there… — Abraham Robinson Copy Share Image