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"Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics."
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"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."

"My mathematics is simple: one plus one = one."

"I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way."

"I tell them that if they will occupy themselves with the study of mathematics they will find in it the best remedy against the lusts of the flesh."

"Few rounds.... I am damn good mathematician!2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998."

""Obvious" is the most dangerous word in mathematics."

"I went to Princeton from Amherst, where I split my interests between mathematics and philosophy."

"In mathematics we have long since drawn the rein, and given over a hopeless race."

"Mathematics doesn't care about those beyond the numbers."

"The square root of I is I."
Explore more quotes by G. H. Hardy

"There is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds."

"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."

"Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not."

"It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that."

"Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics."
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