"There are some who, without regarding the number as infinite, yet think that no number can be named which is great enough to exceed that which would designate the number of the Earth's grains of sand" (Chapter I, p. 6).

"Mathematics is usually considered, especially by mathematicians, the Queen of all Sciences and, being a queen, it naturally tries t avoid morganatic relations with other branches of knowledge" (Chapter II, p. 24).

"We all know what space is, although we should find ourselves in a rather awkward position if we weer asked to define exactly what we mean by the word. We should probably say that space is that which surrounds us, and through which we can move forward or backward, right or left, up or down" (Chapter III, p. 41).

"The concept of the fourth dimension is usually surrounded by mystery and suspicion. How dare we, creatures of length, height...