Question

What is venn diagram? Proof the validity/invalidity of the following using Venn Diagram method,

17 Aug 2021
Answer :
Word Count : 1425

A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn 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. A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses.Similar ideas had been proposed before Venn. Christian Weise in 1712 Nucleus Logicoe Wiesianoe and Leonhard Euler Letters to a German Princess in 1768, for instance, came up with similar ideas. The idea was popularised by Venn in Symbolic Logic, Chapter V "Diagrammatic Representation", 1881.

 Validity of venn diagramm  by using method :

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1. All cows are animals

2. Betsy is a cow.

3. Therefore, Betsy is an animal.

 

Note the content of this argument. What are we talking about? Betsy, cows and animals. So, we assign variables.

Cows = C

Animals = A

Betsy = B