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.

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.

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

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

A poet is a professional maker of verbal objects.

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.