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Set Theory Venn Diagram

The Definition and the Uses of Venn Diagram

Set Theory Venn Diagram – You have most likely had the pleasure of reading about or seen the Venn diagram earlier. Anyone who’s attended Mathematics specifically Algebra and Probability, must be familiar with this image. It is a visual aid that illustrates the relation between a collection of objects. Find out more about this frequently used diagram in different areas and fields below.

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What Is a Venn Diagram?

The Venn diagram is an illustration of circles that overlap to show the connections between items or groups. The overlap of circles indicates that they have a commonality and those that don’t overlap indicate that they do not share a commonality. Each circle is usually with a description of the subject matter it is a part of.

It can be used to show differentiators and similarities visually between various things, groups or concepts. It is often used in the realm of education as a valuable tool. It’s been in use all over the world since the midst decades of the twentieth century, at the elementary level and as an essential component of the curriculum for logic.

The diagram was popularised by John Venn, an English logician in the 1880s. Similar diagrams were created in the 1700s in the 1700s by Leonard Euler, a Swiss mathematician, who named them Eulerian circles. That being said, the term wasn’t used for a long time until Clarence Lewis, an academic philosopher and conceptualist who founded pragmatism who used it in 1918. In 1918, the term was used to refer to a circular illustration in his book named “A Survey of Symbolic Logic.”

What Is the Purpose and Benefits of the Venn Diagram?

The Venn diagram is employed frequently across the globe of academia. Teachers at schools use the tool to teach mathematical concepts like intersections, sets and unions. For more advanced mathematics, it is also employed to tackle problems that are complex. There are also diagrams that pertain to statistics, especially predictive analytics.

Beyond mathematics-related fields, it is also used to examine the similarities and distinctions between different languages. In the world of business it is utilized to show comparisons between products as well as services. It is also used to display any other information pertinent.

Here is the description of how the diagram will be able to do:

  • Visually organize information to find connections (similarities or differences) between sets of items.
  • Regardless of the complexity level regardless of complexity level, show the logic behind particular concepts and provide visual communication to illustrate the connections between them.
  • When deciding what products or services to buy look at a variety of options and easily discern the similarities and distinctions between them.
  • Solve many mathematical problems.
  • Analyze data sets, discover correlations, and assess the probability of certain events.
  • Reason logic that supports equations or statements, as well as an approach to grouping.

One of the major reasons that one of the main reasons why Venn diagram can be so effective and popular is because of its ease of use. It allows you to examine things, find out where they overlap and separate and also serve as a visual representation of the connection. Along with pie charts, quadrant charts, bar graphs as well as flow charts and many other tools for visualizing data, they provide an effective method of presenting your data or help with the method of thinking.

FREE Venn Diagram Template For Word, Powerpoint & PDF

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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