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A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
The Venn diagram is constructed with a collection of simple closed curves drawn in the plane. The principle of these diagrams is that classes be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.
[c] For example, Hill & Peterson (1968) [13] present the Venn diagram with shading and all. They give examples of Venn diagrams to solve example switching-circuit problems, but end up with this statement: "For more than three variables, the basic illustrative form of the Venn diagram is inadequate.
People often have difficulty applying the rules of logic. For example, a person may say the following syllogism is valid, when in fact it is not: All birds have beaks. That creature has a beak. Therefore, that creature is a bird. "That creature" may well be a bird, but the conclusion does not follow from the premises.
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In commemoration of the 180th anniversary of Venn's birth, on 4 August 2014, Google replaced its normal logo on global search pages with an interactive and animated Google Doodle that incorporated the use of a Venn diagram. [24] [25] Venn Street in Clapham, London, which was the home of his grandfather, shows a Venn diagram on the street sign. [26]
Sabrina Marie Cruz (born April 22, 1998 [2]) is a Canadian YouTuber best known for her educational YouTube videos on her main channel, Answer in Progress, formerly known as NerdyAndQuirky, which she launched on January 6, 2012. [3] As of November 2024, the channel has 1.6 million subscribers and 95.7 million views.