Quotes by Math Beauty is the first test: there is no permanent place in the world for ugly mathematics. G. H. Hardy apology math beauty All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove. G. H. Hardy hunting use math Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean. G. H. Hardy math silly mean Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game. G. H. Hardy sacrifice math love Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity. G. H. Hardy names math people Young men should prove theorems, old men should write books. G. H. Hardy math writing book A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. G. H. Hardy unique education math The mathematician's patterns, like the painter's or the poet's, must be beautiful. G. H. Hardy patterns math beautiful Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity G. H. Hardy names math appreciation The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics. G. H. Hardy math beautiful beauty Music at times is more like perfume than mathematics. Gabriel Marcel scent music math The fact is there are few more popular subjects than mathematics. Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune. G. H. Hardy math appreciation people And who can doubt that it will lead to the worst disorders when minds created free by God are compelled to submit slavishly to an outside will? When we are told to deny our senses and subject them to the whim of others? When people devoid of whatsoever competence are made judges over experts and are granted authority to treat them as they please? These are the novelties which are apt to bring about the ruin of commonwealths and the subversion of the state. Galileo Galilei judging math people The book of nature is written in the language of mathematics. Galileo Galilei language math book Measure what is measurable, and make measurable what is not so. Galileo Galilei metrics statistics math The laws of Nature are written in the language of mathematics...the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word. Galileo Galilei circles law math You can go your whole life and not need math or physics for a minute, but the ability to tell a joke is always handy. Garrison Keillor math inspirational needs And believe me, if I were again beginning my studies, I should follow the advice of Plato and start with the mathematical sciences, which proceed very cautiously and admit nothing as established until it has been rigorously demonstrated. Galileo Galilei plato education math Nature's great book is written in mathematics. Galileo Galilei math science book Twice two makes four seems to me simply a piece of insolence. Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting. I admit that twice two makes four is an excellent thing, but if we are to give everything its due, twice two makes five is sometimes a very charming thing too. Fyodor Dostoevsky math giving two «2223242526272829303132»