"All mental and moral development is by self-activity. Education is the economizing of self-effort in the direction of all-sided development."

“Number was born in superstition and reared in mystery,... numbers were once made the foundation of religion and philosophy, and the tricks of figures have had a marvellous effect on a credulous people.”

“Slowly the human beings have arise n-guided by a glimmering light — and have climbed spiritually from the earth and the clod, from the shrub and tree up the broad walls of the arched sky, to stars, and moon, and sun, and then beyond the sun, for the divinity seeldng and striving imagination stretches away to the invisible, all powerful, all-controlling, all-loving. One who permeates the universe, lives in it, and breathes His life through it, the eternal life to be taken into the human soul. The myth is the obscure image, in the child's soul, of God Himself.”

“The science of arithmetic may be called the science of exact limitation of matter and things in space, force, and time.”

“Form and size constitute the foundation of all search for truth.”