Abstract

This chapter focuses on the algebra of sets. The concept of set is one of the fundamental concepts of mathematics. The branch of mathematics concerned with the study of the general properties of sets, regardless of the nature of the objects that form those sets, is known as set theory and is regarded as the foundation of modern mathematics. This discipline was founded by Georg Cantor. The objects that belong to a given set are called its elements. By the union—or the set-theoretic sum—of sets A and B is meant the set whose elements are all the elements of the set A and all the elements of the set B and which does not have any other elements. The union of sets A and B is denoted by A U B. The chapter also discusses the concept of empty set, that is, the set that has no elements.

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