“The moving power of mathematical invention is not reasoning but imagination.”

“The human mind has no more power of inventing a new value than of imagining a new primary colour,or, indeed, of creating a new sun and a new sky for it to move in.”

“Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning.”

“You call a star a star, and say it is just a ball of matter moving on a mathematical course. But that is merely how you see it. By so naming things and describing them you are only inventing your own terms about them. And just as speech is invention about objects and ideas, so myth is invention about truth.”

“I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to invent a non-Euclidian mathematics with respect to political discipline.”

“I studied mathematics which is the madness of reason.”