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A Venn diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.
The deduction is represented by a 3 circle Venn diagram. Premises and the logical consequence are represented by 2 circle Venn diagrams. The left circle stands for S, the top circle for M, and the right circle for P. Areas marked in black are empty - there are no elements in these areas. In red areas there is at least one element, represented ...
E.g. row AB corresponds to the 2-circle, and row ABC to the 3-circle Venn diagram shown above. (As in the Venn diagrams, white is false, and red is true.) The truth table of A ⊕ B {\\displaystyle A\\oplus B} shows that it outputs true whenever the inputs differ:
A Venn diagram is a representation of mathematical sets: a mathematical diagram representing sets as circles, with their relationships to each other expressed through their overlapping positions, so that all possible relationships between the sets are shown. [4]
The deduction is represented by a 3 circle Venn diagram. Premises and the logical consequence are represented by 2 circle Venn diagrams. The left circle stands for S, the top circle for M, and the right circle for P. Areas marked in black are empty - there are no elements in these areas. In red areas there is at least one element, represented ...
The commonly-used diagram for the Borromean rings consists of three equal circles centered at the points of an equilateral triangle, close enough together that their interiors have a common intersection (such as in a Venn diagram or the three circles used to define the Reuleaux triangle).
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