Lewis Carroll's Diagrams

Boolean function:

(m∧p∧¬s)∨(m∧¬p∧s)∨(¬m∧p∧s)∨(¬m∧¬p∧¬s)

This Demonstration shows Carroll's diagrams of a Boolean function of three propositional variables

s

,

p

and

m

that correspond to membership in the sets

S

,

P

and

M

. Click the rectangles or L-shaped regions to indicate they are nonempty. The Boolean function is given by minimizing its disjunctive normal form.

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.

Izidor Hafner