Lewis Carroll's Diagrams

This Demonstration shows Carroll's diagrams of a Boolean function of three propositional variables , and that correspond to membership in the sets , and . Click the rectangles or L-shaped regions to indicate they are nonempty. The Boolean function is given by minimizing its disjunctive normal form.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


This version of Carroll's diagrams was found in [2, p. 112]. See also [5].
[1] R. Audi, ed., The Cambridge Dictionary of Philosophy, Cambridge: Cambridge University Press, 1995 pp. 780–782.
[2] L. Borkowski, Elementy logiki formalnej (Elements of Formal Logic, in Polish), 3rd ed., Warsaw: Wyd, 1976.
[3] L. Carroll, Symbolic Logic and the Game of Logic, New York: Dover, 1958.
[4] I. M. Copi and C. Cohen, Introduction to Logic, 9th ed., New York: Macmillan, 1994 pp. 214–218.
[5] Wikipedia. "Categorical Proposition." (Aug 16, 2016) en.wikipedia.org/wiki/Categorical_proposition.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.