It is natural to think that an abstract science cannot be of much importance in affairs of human life, because it has omitted from its consideration everything of real interest.

Art heightens the sense of humanity. It gives an elation to feeling which is supernatural...A million sunsets will not spur us on towards civilization. It requires Art to evoke into consciousness the finite perfections which lie ready for human achievement.

Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world.

The world is shocked, or amused, by the sight of saintly old people hindering in the name of morality the removal of obvious brutalities from a legal system.

Education which is not modern share the fate of all organic things which are kept too long.

Fundamental progress has to do with the reinterpretation of basic ideas.

The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.