A
Carroll diagram, or
Lewis Carroll's square, is a
diagramA diagram is a two-dimensional geometric symbolic representation of information according to some visualization technique. Sometimes, the technique uses a three-dimensional visualization which is then projected onto the two-dimensional surface...
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 Charles Lutwidge Dodgson , better known by the pen name Lewis Carroll , was an English author, mathematician, logician, Anglican deacon and photographer...
, the pseudonym of Charles Lutwidge Dodgson.
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.
Discussion
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A
Carroll diagram, or
Lewis Carroll's square, is a
diagramA diagram is a two-dimensional geometric symbolic representation of information according to some visualization technique. Sometimes, the technique uses a three-dimensional visualization which is then projected onto the two-dimensional surface...
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 Charles Lutwidge Dodgson , better known by the pen name Lewis Carroll , was an English author, mathematician, logician, Anglican deacon and photographer...
, the pseudonym of Charles Lutwidge Dodgson.
Usage
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
numberA number is a mathematical object used in counting and measuring. A notational symbol which represents a number is called a numeral, but in common usage the word number is used for both the abstract object and the symbol, as well as for the word for the number...
or
objectIn philosophy, an object is a thing, an entity, or a being. This may be taken in several senses. In its weakest sense, the word "object" is the most all-purpose of nouns, and can replace a noun in any sentence at all...
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, since they are a tidy way of categorising and displaying information.
See also
- Diagram
A diagram is a two-dimensional geometric symbolic representation of information according to some visualization technique. Sometimes, the technique uses a three-dimensional visualization which is then projected onto the two-dimensional surface...
- Karnaugh map
The Karnaugh map, also known as a Veitch diagram , is a method to simplify Boolean algebra expressions...
- Set theory
The modern study of set theory was initiated by Cantor and Dedekind in the 1870s. After the discovery of paradoxes in informal set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known.The...
- Venn diagram
Venn diagrams or set diagrams are diagrams that show all hypothetically possible logical relations between a finite collection of sets . Venn diagrams were conceived around 1880 by John Venn...