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

There is no rigorous definition of rigor.

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

In brief, the whole world is the totality of mathematically expressible motions of objects in space and time, and the entire universe is a great, harmonious, and mathematically designed machine.

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.

Mathematics is a body of knowledge, but it contains no truths.

A proof tells us where to concentrate our doubts.