A graphic technique for visualizing set theory concepts using overlapping circles and shading to indicate intersection, union and complement. It was introduced in the late 1800s by English logician, John Venn, although it is believed that the method originated earlier.
A diagram using circles to represent sets, with the position and overlap of the circles indicating the relationships between the sets.
(math., logic) A diagram using overlapping circles, often shaded or crosshatched, to show relationships between sets or propositions.
(set theory) A diagram representing some sets by contours of closed shapes, such as circles or ellipses (sometimes also the universal set as a rectangle enclosing all of these shapes), and indicating the relationships between the sets: by overlapping the shapes to show that the corresponding sets have a non-empty intersection, and by possibly (but not necessarily) enclosing all of the sets (which are proper subsets of the universal set) within a universal set (represented typically by a rectangle); such that the total number of simply connected regions is , where n is the number of depicted sets which are proper subsets of the universal set.
A diagram that uses circles to represent sets, in which the relations between the sets are indicated by the arrangement of the circles. For example, drawing one circle within another indicates that the set represented by the first circle is a subset of the second set. The Venn diagram is named after its inventor, British mathematician John Venn (1834–1923).
Other Word Forms
Origin of venn-diagram
- After John Venn (1834–1923), British logician
From American Heritage Dictionary of the English Language, 5th Edition
- Named after John Venn (1834-1923), British mathematician and philosopher.