Definition and Terminology
Formally, a set S is called finite if there exists a bijection
for some natural number n. The number n is called the cardinality of the set, and is denoted |S|. (Note that the empty set is considered finite, with cardinality zero.) If a set is finite, its elements may be written as a sequence:
In combinatorics, a finite set with n elements is sometimes called an n-set and a subset with k elements is called a k-subset. For example, the set {5,6,7} is a 3-set, a finite set with three elements, and {6,7} is a 2-subset of it.
Read more about this topic: Finite Set
Famous quotes containing the word definition:
“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
—Walter Pater (1839–1894)