Abstract
In contemporary mathematics the “language of sets” can be seen as an aspect or an expansion of the basic logical language. In this chapter the basic terms of this language (set, element, belongs to, inclusion, intersection and union of sets, etc.) are introduced and explained through examples. A second goal of this chapter is to illustrate the relation between the language of sets and the logic terminology. We will explore the relations between set operations and logic connectives, and between set inclusions and the words “all” and “only”. Finally, we will briefly introduce the standard terminology about the numerical sets of natural, integer, rational and real numbers.
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