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" I am interested in mathematics only as a creative art. "

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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. "

" 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. "

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

" Young men should prove theorems, old men should write books. "

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

" I was at my best at a little past forty, when I was a professor at Oxford. "

" 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. "

" 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. "