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.

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.

It must be admitted that there is a degree of instability which is inconsistent with civilization. But, on the whole, the great ages have been unstable ages.

The real history does not get written, because it is not in people's brains but in their nerves and vitals.

Inventive genius requires pleasurable mental activity as a condition for its vigorous exercise

The foundations of the world are to be found, not in the cognitive experience of conscious thought, but in the aesthetic experience of everyday life.

Disputing the commonsense notion that all events require the prior existence of some underlying matter or substance. There is no antecedent static cabinet.