A set is a collection of objects such that two sets are equal if, and only if, they contain the same objects. For a discussion of the properties and axioms concerning the construction of sets, see Basic Set Theory and Set theory . Here we give only a brief overview of the concept.
Sets are one of the base concepts of mathematics.
A set is, more or less, just a collection of objects, called its elements. If A and B are two sets and every x in A is also contained in B , then A is said to be a subset of B . If you don't mind jumping ahead a bit, the subsets of a given set form a boolean algebra under these operations. Examples of sets of numbers include Natural number s which are used for counting the members of sets. Statistical Theory is built on the base of Set Theory and Probability Theory .