André Weil and G. H. Hardy views on mathematical beauty.
A mathematician, like a painter or a poet, is a maker of patterns,” he wrote. “If his patterns are more permanent than theirs, it is because they are made with ideas.” Hardy went on to characterize what makes a mathematical idea worthy: a certain generality, a certain depth, unexpectedness combined with inevitability and economy.
See Hardy’s essay A Mathematician’s Apology (wiki, PDF, Amazon)
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