Carroll diagram

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A simple Carroll diagram.
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A simple Carroll diagram.

A Carroll diagram is a diagram used for grouping things in a yes/no fashion. Numbers or objects are either categorised as 'x' (having an attribute x) or 'not x' (not having that attribute). They are named after Lewis Carroll, the pseudonym of Charles Lutwidge Dodgson, a famous author and mathematician.[1]

[edit] Usage

A more complex Carroll diagram.
Enlarge
A more complex Carroll diagram.

Although Carroll diagrams can be as simple as the one above, the most well known type are those similar to the one on the left, where two attributes are shown. The 'universe' of a Carroll diagram is contained within the boxes in the diagram, as any number or object has to either have an attribute or not have it.

Carroll diagrams are often learnt by schoolchildren, but they can also be used outside this field. For instance, they are a very tidy and useful way of categorising and displaying information.

[edit] References

  1. ^ http://io.uwinnipeg.ca/~jameis/Math/L.venn/LEY1.html