Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

The writing in mathematics text is not only laconic to a fault; it is cold, monotonous, dry, dull, and even ungrammatical... The books are not only printed by machines; they are written by machines.

A proof tells us where to concentrate our doubts.

Perhaps the best reason for regarding mathematics as an art is not so much that it affords an outlet for creative activity as that it provides spiritual values. It puts man in touch with the highest aspirations and lofiest goals. It offers intellectual delight and the exultation of resolving the mysteries of the universe.

Psychologically, the teaching of abstractions first is wrong. Indeed, a thorough understanding of the concrete must precede the abstract.

A elegantly executed proof is a poem in all but the form in which it is written.

Statistics: the mathematical theory of ignorance.