If two hitherto rival football teams, under the influence of brotherly love, decided to co-operate in placing the football first beyond one goal and then beyond the other, no one's happiness would be increased

When there are rational grounds for an opinion, people are content to set them forth and wait for them to operate. In such cases, people do not hold their opinions with passion; they hold them calmly, and set forth their reasons quietly. The opinions that are held with passion are always those for which no good ground exists; indeed the passion is the measure of the holder's lack of rational conviction.

I say people who feel they must have a faith or religion in order to face life are showing a kind of cowardice, which in any other sphere would be considered contemptible. But when it is in the religious sphere it is thought admirable, and I cannot admire cowardice whatever sphere it is in.

The Ten Commandments should be headed like an examination paper: No more than six to be attempted.

To avoid the various foolish opinions to which mankind are prone, no superhuman genius is required. A few simple rules will keep you, not from all error, but from silly error.

I am delighted to know that Principia Mathematica can now be done by machinery. . . I am quite willing to believe that anything in deductive logic can be done by machinery.

Of these austerer virtues the love of truth is the chief, and in mathematics, more than elsewhere, the love of truth may find encouragement for waning faith. Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind; and this purpose should be kept always in view throughout the teaching and learning of mathematics.