“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.”
“Because one does not want to be disturbed, to be made uncertain, he establishes a pattern of conduct, of thought, a pattern of relationship to man etc. Then he becomes a slave to the patter and takes the pattern to be the real thing.”
“The difference between the poet and the mathematician is that the poet tries to get his head into the heavens while the mathematician tries to get the heavens into his head.”
“The Greeks were the first mathematicians who are still ‘real’ to us to-day. Oriental mathematics may be an interesting curiosity, but Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand: as Littlewood said to me once, they are not clever schoolboys or ‘scholarship candidates’, but ‘Fellows of another college’. So Greek mathematics is ‘permanent’, more permanent even than Greek literature. Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. ‘Immortality’ may be a silly word, but probably a mathematician has the best chance of whatever it may mean.”
“Patterning your life around other's opinions is nothing more than slavery. ”
“But Philip was impatient with himself; he called to mind his idea of the pattern of life: the unhappiness he had suffered was no more than part of a decoration which was elaborate and beautiful; he told himself strenuously that he must accept with gaiety everything, dreariness and excitement, pleasure and pain, because it added to the richness of the design.”