#mathematics

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions. ↗

— Felix Klein

#confused #countless #curve #enough #everyone

Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth. ↗

— Marston Morse

#chooses #designs #down #down to earth #earth

I'm sure that some of them will be very hard and I'll have a sense of achievement again, but nothing will mean the same to me - there's no other problem in mathematics that could hold me the way that this one did. ↗

— Andrew Wiles

#again #could #did #hard #hold

The oldest problem in economic education is how to exclude the incompetent. A certain glib mastery of verbiage-the ability to speak portentously and sententiously about the relation of money supply to the price level-is easy for the unlearned and may even be aided by a mildly enfeebled intellect. The requirement that there be ability to master difficult models, including ones for which mathematical competence is required, is a highly useful screening device. ↗

— John Kenneth Galbraith

#mathematics #education

Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve. ↗

— Andrew Wiles

#hard #hundred #look #mathematics #out

Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness. ↗

— E. T. Bell

#art #creative #feeling #fitness #generality

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper. ↗

— E. T. Bell

#experience #game #indeed #making #marks

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences. ↗

— E. T. Bell

#immortality #itself #marks #mathematics #off

The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes. ↗

— E. T. Bell

#also #becomes #lives #longer #mathematics

Consequently he who wishes to attain to human perfection, must therefore first study Logic, next the various branches of Mathematics in their proper order, then Physics, and lastly Metaphysics. ↗

— Maimonides

#branches #consequently #first #human #lastly