Speech is human nature itself, with none of the artificiality of written language.

Religion is the last refuge of human savagery.

Algebra reverses the relative importance of the factors in ordinary language. It is essentially a written language, and it endeavors to exemplify in its written structures the patterns which it is its purpose to convey. The pattern of the marks on paper is a particular instance of the pattern to be conveyed to thought. The algebraic method is our best approach to the expression of necessity, by reason of its reduction of accident to the ghostlike character of the real variable.

The study of mathematics is apt to commence in disappointment.

The motive of success is not enough.

The fact of the religious vision, and its history of persistent expansion, is our one ground for optimism. Apart from it, human life is a flash of occasional enjoyments lighting up a mass of pain and misery, a bagatelle of transient experience.

Heaven knows what seeming nonsense may not tomorrow be demonstrated truth.