Best Answer

Each circle defines the boundaries of a set, all of whose members share a characteristic. All objects with the characteristic are inside the circle, all those without that characteristic are outside.

Q: What do the circles in venn diagrams represent?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

Venn diagrams were introduced in 1880 by John Venn (1834-1923) in a paper entitled On the Diagrammatic and Mechanical Representation of Propositions and Reasonings in the "Philosophical Magazine and Journal of Science", about the different ways to represent propositions by diagrams. Venn himself did not use the term "Venn diagram" and referred to his invention as "Eulerian Circles."

A Venn diagram gets unwieldy with a large number of observations.It is impossible (in 2-d) to have more than three categories (circles).

John Venn

july1880

Venn diagrams were conceived around 1880 by John Venn.

Related questions

They both use circles to represent sets of data.

Venn diagrams were introduced in 1880 by John Venn (1834-1923) in a paper entitled On the Diagrammatic and Mechanical Representation of Propositions and Reasonings in the "Philosophical Magazine and Journal of Science", about the different ways to represent propositions by diagrams. Venn himself did not use the term "Venn diagram" and referred to his invention as "Eulerian Circles."

Your question is a little ambiguous, but Euler Circles, sometimes called Euler diagrams, are generally regarded as far superior to Venn diagrams from a cognitive perspective since they exploit topologocal properties that match semantic properties. This exploitation means that they are well-matched to what they represent. In general, Euler diagrams do not restrict to the use of circles and are formed of arbitrary simple closed curves, like Venn diagrams. It terms of expressiveness, if one allows only the use of simple closed curves, then Euler diagrams are less expressive than Venn diagrams. However, frequently Euler diagrams are permitted to use shading (which Venn used in his diagrams to assert the emptiness of a set). Under these conditions (i.e. simple closed curves plus shading) Euler diagrams are equivalent in expressive power to Venn diagrams. Moreover, if you don't like the idea of using shading, you can remove the constraint that the closed curves must be simple and, again, this results in Euler diagrams being as expressive as Venn diagrams. I hope that helps.

Yes.

A Venn diagram gets unwieldy with a large number of observations.It is impossible (in 2-d) to have more than three categories (circles).

A Venn diagram

John Venn

most Venn diagrams are used in survey taking

A Venn diagram is named after British logician and philosopher John Venn, who introduced the concept in the late 19th century. Venn diagrams are used to visually represent the relationships between different sets or groups of data.

july1880

yes he did

Venn diagrams are named after their inventor, John Venn.