THIS is a very suggestive contribution to the foundations of the Algebra of Vectors as recently so strongly advocated in America by Prof. Willard Gibbs, and in this country by Mr. Oliver Heaviside.

Set theory provides the fundamental language and axiomatic basis for virtually all modern mathematics. At its core lies the Zermelo–Fraenkel system (ZF), often augmented by the Axiom of Choice (AC) to ...