A Venn diagram is a widely used diagram style that shows the logical relation between sets. It was popularized by John Venn in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses. A Venn diagram may also be called a set diagram or logic diagram. It is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labeled S represent elements of the set S, while points outside the boundary represent elements not in the set S.
The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. Venn diagrams are used to demonstrate De Morgan’s Laws. In probability theory, Venn diagrams are used to illustrate events in a sample space. In linguistics, Venn diagrams are used to illustrate the similarities and differences between two or more languages. In computer science, Venn diagrams are used to illustrate the relationships between different sets of data.
Venn diagrams are a special case of Euler diagrams, which do not necessarily show all relations. In Venn diagrams, the curves are overlapped in every possible way, showing all possible relations between the sets. A Venn diagram may have two or more sets. The points where the curves overlap represent elements that belong to both sets. The points outside the curves represent elements that do not belong to any of the sets.
In summary, a Venn diagram is a diagram that shows the logical relation between sets. It is a widely used diagram style that is used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. Venn diagrams use simple closed curves drawn on a plane to represent sets, and the points inside a curve labeled S represent elements of the set S, while points outside the boundary represent elements not in the set S. Venn diagrams are a special case of Euler diagrams, which do not necessarily show all relations. They are used to illustrate the similarities and differences between two or more languages, to illustrate the relationships between different sets of data, and to demonstrate De Morgan’s Laws.