## Abstract

The purpose of this chapter is to present a brief review of some basic settheoretic concepts that will be needed in the sequel. By basic concepts we mean standard notation and terminology, and a few essential results that will be required in later chapters.We assume the reader is familiar with the notion of *set* and *elements* (or *members*, or *points*) of a set, as well as with the basic set operations. It is convenient to reserve certain symbols for certain sets, especially for the basic *number systems*. The set of all *nonnegative integers* will be denoted by \(\mathbb{N}_0\), the set of all *positive integers* (i.e., the set of all *natural numbers*) by \(\mathbb{N}\), and the set of all *integers* by \(\mathbb{Z}\). The set of all *rational numbers* will be denoted by \(\mathbb{Q}\), the set of all *real numbers* (or the *real line*) by \(\mathbb{R}\), and the set of all *complex numbers* by \(\mathbb{C}\).

## Keywords

Equivalence Relation Proper Subset Complete Lattice Injective Function Cardinal Number## Preview

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