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.

The tantalizing and compelling pursuit of mathematical problems offers mental absorption, peace of mind amid endless challenges, repose in activity, battle without conflict, refuge from the goading urgency of contingent happenings, and the sort of beauty changeless mountains present to senses tried by the present day kaleidoscope of events.

There is no rigorous definition of rigor.

Universities hire professors the way some men choose wives - they want the ones the others will admire.

A proof tells us where to concentrate our doubts.

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

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