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Carroll diagram

Image:Carroll Diagram (simple).svg

{{anchor|Biliteral|Triliteral|Multiliteral}}A Carroll diagram, Lewis Carroll's square, biliteral diagram or a two-way table 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 an attribute 'x'). They are named after Lewis Carroll, the pseudonym of polymath Charles Lutwidge Dodgson.

Usage

Image:Carroll Diagram (two criteria).svg

Although Carroll diagrams can be as simple as the first one above, the most well known types are those similar to the second one, 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 the field of education, since they are a tidy way of categorising and displaying information.

See also

{{commons category|Carroll diagrams}}

References

{{Reflist|refs=

{{cite web |author-first=Jerry |author-last=Ameis |location=Faculty of Education, University of Winnipeg, Winnipeg, Canada |title=Venn and Carroll Diagrams |work=Mathematical Tale Winds |date=2010 |url=http://ion.uwinnipeg.ca/~jameis/Math/L.venn/LEY1.html |access-date=2010-09-10 |url-status=live |archive-url=https://web.archive.org/web/20170503150622/http://ion.uwinnipeg.ca/~jameis/Math/L.venn/LEY1.html |archive-date=2017-05-03}}

{{cite web |title=Diagrams |work=The Stanford Encyclopedia of Philosophy (SEP) |author-first1=Sun-Joo |author-last1=Shin |author1-link=Sun-Joo Shin|author-first2=Oliver |author-last2=Lemon |author-first3=John |author-last3=Mumma |orig-year=2001-08-28 |date=2013-09-17 |url=http://plato.stanford.edu/entries/diagrams/ |access-date=2015-05-03 |url-status=live|archive-url=https://web.archive.org/web/19980503004701/http://plato.stanford.edu:80/entries/diagrams/ |archive-date=1998-05-03 }}

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Further reading

  • {{cite book |title=The Logic Diagram |author-first=Gailand |author-last=Mac Queen |date=October 1967 |type=Thesis |publisher=McMaster University |url=https://macsphere.mcmaster.ca/bitstream/11375/10794/1/fulltext.pdf |access-date=2017-04-14 |url-status=dead |archive-url=https://web.archive.org/web/20170414163921/https://macsphere.mcmaster.ca/bitstream/11375/10794/1/fulltext.pdf |archive-date=2017-04-14}}
  • {{cite book |title=Cogwheels of the Mind: The Story of Venn Diagrams |author-first=Anthony William Fairbank |author-last=Edwards |author-link=Anthony William Fairbank Edwards |publisher=Johns Hopkins University Press |date=2004 |isbn=0-8018-7434-3 |location=Baltimore, Maryland, USA |url=https://books.google.com/books?id=7_0Thy4V3JIC&pg=PA65}}

External links

  • {{cite web |author=Bogomolny, Alexander |author-link=Alexander Bogomolny |title=Lewis Carroll's Logic Game |work=Cut-the-knot |date=2017 |orig-year=1996 |url=http://www.cut-the-knot.org/LewisCarroll/index.shtml |access-date=2017-05-03 |url-status=live |archive-url=https://web.archive.org/web/20170503162522/http://www.cut-the-knot.org/LewisCarroll/index.shtml |archive-date=2017-05-03}}
  • {{cite web |title=Carroll Diagram (and Game of Logic) Interactive Demonstrator at lewiscarrollresources.net |url=http://lewiscarrollresources.net/gameoflogic}}
  • [http://www.iep.utm.edu/lewis-carroll-logic/ Lewis Carroll: Logic], Internet Encyclopedia of Philosophy

Category:Graphical concepts in set theory

Category:Diagrams

Category:Logical diagrams

{{Diagrams in logic}}