Use of Venn diagrams in Logic

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Venn diagrams are used very frequently on problems of “set theory”. Venn diagrams can also be used for deciding the truthfulness of statements.

Example:

1) Represent the statement “some teachers are scholars” by using a venn diagram.

Suggested answer:

Let U be the universal set of all persons.

Let T be the set of teachers and

S be the set of scholars.

Since “some teachers are scholars”, we have

The truth of the given statement is depicted in the following venn diagrams.

Case (i)

Case (ii)

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