A proof tells us where to concentrate our doubts.

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.

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

Actually, most mathematics courses do not teach reasoning of any kind. Students are so baffled by the material that they are obliged to memorize in order to pass examinations.

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

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

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.