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Venn Diagrams

The Definition and the Uses of Venn Diagram

Venn Diagrams – You’ve probably seen or read about an Venn diagram before. Anyone who has studied Mathematics, especially Algebra and Probability, must already be familiar with the Venn diagram. It is a visual tool that is used to show the relationship between two items. Learn more about this commonly employed diagram in different fields and fields below.

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What Is a Venn Diagram?

The Venn diagram is an illustration of overlapping circles in order to show the relationships between items and groups. Overlapping circles mean that they share certain traits in common, while those that don’t overlap indicate that they do not share any commonality. Each circle is usually accompanied by informational text about the category it belongs to.

It’s used to illustrate the similarities and differences in a visual way among different objects, groups, or concepts. It is commonly found in the realm of education as a useful tool. It has also been used all over the world since the midst decades of the twentieth century at elementary levels as a vital element of the logic curriculum.

The diagram was popularized in the 1880s by John Venn, an English logician during the 1880s. Similar diagrams were invented in the 17th century in the 1700s by Leonard Euler, a Swiss mathematician, who called them Eulerian circles. The term was not used before Clarence Lewis, an academic philosopher and conceptual pragmatism pioneer used the term in 1918. The term was used to describe an illustration of a circle in the book he wrote, called “A Survey of Symbolic Logic.”

What Is the Purpose and Benefits of the Venn Diagram?

The Venn diagram is used often throughout the educational world. Teachers at the school use this tool to teach mathematical concepts such as sets, intersections and unions. At higher levels of mathematics, it is also employed to tackle complicated problems. There are also diagrams within the field of statistics, particularly predictive analytics.

In addition to mathematics-related disciplines, it can also be used to analyze the similarities and differences between various languages. In business it is utilized to compare products, services, and anything that is relevant.

Here’s the breakdown of what the diagram can do:

  • Visually organize information to find connections (similarities as well as differences) between different sets of items.
  • Regardless of the complexity level, display the logic of specific concepts and serve visual aids to show the relationship between them.
  • If you’re deciding on what goods or services to purchase look at a variety of options and easily discern the similarities and differences among them.
  • Solve a range of mathematical problems.
  • Analyze the data set, find correlations and determine the probability of particular events.
  • Reason logic that supports equations or statements as well as how to group.

One of the biggest reasons for why one of the main reasons why Venn diagram has become so effective and so popular is because of its ease of use. This tool lets you analyze things and determine the areas where they intersect and differ and also serve as a visual representation of the connection. Along with pie charts, bar graphs, quadrant charts flow charts as well as a variety of other tools to visualize data offer a great way to display your data or help with the process of thinking.

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Venn Diagram Symbols Meaning

  • ∪ >> Union of Two Sets. The union of two sets is represented by a full Venn diagram.
  • ∩ >> Intersection of Two Sets. The intersection of two categories reveals which things are shared between them.
  • Ac >> Complement of a Set. Whatever is not represented in a set is referred to as the complement.

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