Vector Logic
I learned yesterday from Jonathan Westphal, a professor of philosophy at Idaho State University, that he and a colleague, Jim Hardy, have devised another geometric approach to logic: a system of arrow diagrams that illustrate classical propositional logic. The diagrams resemble those used to illustrate Euclidean vector spaces, and Westphal and Hardy call their approach “a vector system,” although it does not involve what a mathematician would regard as a vector space.
See “Logic as a Vector System,”
Journal of Logic and Computation
15(5) (October, 2005), pp. 751-765.
Related material:
(1) Quilt Geometry,
(2) the quilt pattern
below (click for
the source) —
and
(3) yesterday’s entry
“Christ! What are
patterns for?”