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Euler diagram
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An Euler diagram is a diagrammatic means of representing sets and their relationships. They are particularly useful for explaining complex hierarchies and overlapping definitions. They are similar to
The diagram to the right is from Couturat in which he labels the 8 regions of the Venn diagram. The modern name for the "regions" is minterms. They ar
The diagram to the right is from Couturat in which he labels the 8 regions of the Venn diagram. The modern name for the "regions" is minterms. They are shown in the diagram with the variables x, y, and z per Venn's drawing. The symbolism is as follows: logical AND [ & ] is represented by arithmetic multiplication, and the logical NOT [ ¬ ] is represented by ⟨′⟩ after the variable, e.g. the region x′y′z is read as "(NOT x) AND (NOT y) AND z" i.e.
Composite of two pages from Venn (1881a), pp. 115–116 showing his example of how to convert a syllogism of three parts into his type of diagram; Venn
Composite of two pages from Venn (1881a), pp. 115–116 showing his example of how to convert a syllogism of three parts into his type of diagram; Venn calls the circles "Eulerian circles"
Euler diagram categorizing different types of metaheuristics
Euler diagram categorizing different types of metaheuristics
Henri Milne-Edwards's (1844) diagram of relationships of vertebrate animals, illustrated as a series of nested sets
Henri Milne-Edwards's (1844) diagram of relationships of vertebrate animals, illustrated as a series of nested sets
Venn diagram
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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 illustra
Euler diagram
…They are particularly useful for explaining complex hierarchies and overlapping definitions. They are similar to another set diagramming technique, Venn diagrams. Unlike Venn diagrams, which show all possible relations between different sets, the Euler diagram shows only relevant relationships. The Swiss…
Stained-glass window with Venn diagram in Gonville and Caius College, Cambridge
Stained-glass window with Venn diagram in Gonville and Caius College, Cambridge