Pure mathematics is the world's best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It's free. It can be played anywhere - Archimedes did it in a bathtub.

There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else - but persistent.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life.

Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

Mathematics consists in proving the most obvious thing in the least obvious way.