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.
G. H. HardyA 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. HardyIn [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
G. H. Hardy