#math

A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. ↗

— Godfrey Harold Hardy

#his #ideas #like #made #maker

Beauty is the first test: there is no permanent place in the world for ugly mathematics. ↗

— Godfrey Harold Hardy

#first #mathematics #permanent #place #test

I'm no mathematician, so I'm stuck with the graphic representations. ↗

— Hugh Hopper

#i #mathematician #representations #stuck

But mathematics is the sister, as well as the servant, of the arts and is touched by the same madness and genius. ↗

— Marston Morse

#genius #madness #mathematics #same #servant

One might suppose that reality must be held to at all costs. However, though that may be the moral thing to do, it is not necessarily the most useful thing to do. The Greeks themselves chose the ideal over the real in their geometry and demonstrated very well that far more could be achieved by consideration of abstract line and form than by a study of the real lines and forms of the world; the greater understanding achieved through abstraction could be applied most usefully to the very reality that was ignored in the process of gaining knowledge. ↗

— Isaac Asimov

#math #reality #science #science

However, as I hope to persuade you, there are some interesting connections between science and magic. They share a belief, as one mathematician put it, that what is visible is merely a superficial reality, not the underlying "real reality." They both have origins in a basic urge to make sense of a hostile world so that we may predict or manipulate it to our own ends. ↗

— Roger Highfield

#math #science #science

If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics... ↗

— Roger Bacon

#science #science

Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package. ↗

— Robert Kanigel

#computer-algebra-system #history #math #ramanujan #life

If you can't illustrate 'it', 'it' doens't belong in Physics as a noun! You can't put an article in front. You can't put a verb after! ↗

— Bill Gaede

#gaede #god #hawking #mathematics #newton

Neglect of mathematics work injury to all knowledge, since he who is ignorant of it cannot know the other sciences or things of this world. And what is worst, those who are thus ignorant are unable to perceive their own ignorance, and so do not seek a remedy. ↗

— Roger Bacon

#mathematics #sciences #science