Venn Diagrams – Definition & Explanation

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Venn Diagrams

In the 1880s, English logician John Venn popularised the graphic. The Venn diagrams were named after the Swiss mathematician Leonard Euler, who developed similar diagrams in the year 1700s.

Clarence Lewis, who is known to be an American academic philosopher as well as the ultimate father of conceptual pragmatism, referred to the circular portrayal as the venn diagram in his book “A Survey of Symbolic Logic” in 1918.

A Venn diagram is a prominent diagram form that depicts the logical relationship between sets. The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach introductory set theory and to show simple set relations.

Venn Diagram – Definition & Importance

A Venn diagram is a diagram that employs circles to depict the connections between items or finite groupings of items. Those circles that overlap each other share common characteristics, and circles that don’t do not have common characteristics.

Venn diagrams are useful for visualizing the similarities and contrasts between two different concepts. These are acknowledged for their value as instructional aids.

Venn diagrams are utilized in the introductory logic curriculum. They are also used in elementary-level educational plans all across the world since the mid-twentieth century.

Reading Venn Diagrams

A Venn diagram is read by looking at all of the circles that compose the whole thing. Each circle represents a separate item or data collection.

The sections of the circles that overlap show regions that are shared by the many objects, but the parts that do not overlap reflect unique characteristics of the item or data set which is represented by the circle.

Venn Diagrams – Nomenclature

  • Set: A set is a well-defined collection of different items.
  • Union of Sets: The term “union of sets” refers to the combination of all the objects in the sets.
  • Set Intersection: Assume there are two sets P and Q. The intersection of sets P and Q is the set of all items that are shared by both sets P and Q.
  • Set Difference: The set of items that belong to A but not to B is the difference between the sets A and B in this order. To represent it symbolically, we write A-B.
  • Universal Set: The universal set is the collection of all the items found in the related sets.

Applications of Venn Diagrams

Venn diagrams show how elements connect to one another in relation to a larger data set. A Venn diagram, for example, might be used to compare different firms in the same sector by demonstrating the items that both companies sell (where circles overlap) as well as the products that are unique to every company (outer circles).

At its most basic, Venn diagrams are simply graphical representations of the relationship that exists between 2 sets of items. They can, however, be far more sophisticated.

Nonetheless, the Venn diagram’s simplified aim of illustrating concepts and groupings has led to its widespread application in numerous sectors, including statistics, linguistics, logic, education, computer science, and commerce.

Key Takeaways

  • A Venn diagram illustrates the similarities and contrasts between objects or groups of things by using circles that overlap or do not overlap.
  • Those that share similarities are represented by overlapping circles, whereas things that are separate are represented by a single circle.
  • Venn diagrams are increasingly often used as examples in business and many academic disciplines.

Cuemath Website

You’ve probably noticed that these diagrams are simple to interpret. Solving an issue with Venn diagrams will not seem like a challenge if you have conceptual clarity on the subject, and this is where Cuemath comes into play. Go to the Cuemath website.

It is present in over twenty countries. Cuemath is the greatest online math services platform for laying strong mathematical foundations. If you want to study these principles in-depth and in an interactive fashion, go to the Cuemath website.

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