One of the chief duties of the mathematician in acting as an advisor ... is to discourage ... from expecting too much from mathematics.

Any useful logic must concern itself with Ideas with a fringe of vagueness and a Truth that is a matter of degree.

There are no answers, only cross references.

The Advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil. It is a field which has often been compared with chess, but differs from the latter in that it is only one's best moments that count and not one's worst. A single inattention may lose a chess game, whereas a single successful approach to a problem, among many which have been relegated to the wastebasket, will make a mathematician's reputation.

In all important respects, the man who has nothing but his physical power to sell has nothing to sell which it is worth anyone's money to buy

The more we get out of the world the less we leave, and in the long run we shall have to pay our debts at a time that may be very inconvenient for our own survival.

One of the chief duties of the mathematician in acting as an advisor ... is to discourage ... from expecting too much from mathematics.