The art of thinking with diagrams
by Zenon Kulpa
Diagrammatics, or diagrammatic representation
and reasoning, concerns the use of diagrams in information processing
and communication by humans and computers.
Diagrammatic representation uses diagrams to represent
data and knowledge, and diagrammatic reasoning uses
direct manipulation and inspection of a diagram as the primary
means of inference. Diagrams are a visual kind
of analogical (or direct) knowledge representation mechanism
that is characterized by a parallel (though not necessarily isomorphic)
correspondence between the structure of the representation
and the structure of the represented. For more details, see e.g.
an excellent introduction to main issues of the field
in the Stanford Encyclopedia of Philosophy.
My current work in this area concerns mostly
I have served as a Co-chair of the 1st European Workshop on "Diagrammatics
& Design" (D&D 2002). The Special
Issue of the Machine GRAPHICS & VISION journal
(Vol. 12, No. 1) containing selected papers from the Workshop
has been published as well.
- Mathematical applications of diagrams,
in particular the diagrammatic representational system for
with applications in reasoning about interval relations,
interval arithmetic, and interval linear equations
(see the Intervals
section in my list of publications).
- The problem of errors in diagrammatic representations and reasoning
(see the Section 5 of my selected contributions page).
- I was also reading a general lecture on "Fundamentals of Diagrammatics,"
at computer science faculties of some colleges in Poland.
Some older, but hopefully still useful material:
- Information about
my recent larger work:
Zenon Kulpa, Diagrammatic Interval Analysis
- Information about
my older larger work:
Zenon Kulpa, From Picture Processing to Interval Diagrams.
- My older survey paper:
Z. Kulpa: [Diagrammatic representation and reasoning.
Machine GRAPHICS & VISION,
Vol. 3, Nos. 1/2, 1994, 77-103.
[PDF file, 431KB]
See also the diagrammatics
section in my list of publications.
- Some general references:
- M. Anderson, B. Meyer, P. Olivier, eds.,
Diagrammatic Representation and Reasoning,
Springer-Verlag, Berlin 2002.
- Special Issue on Diagrammatic
Representation and Reasoning (edited by me) of the
Machine GRAPHICS & VISION journal:
Vol. 6, No. 1, 1997.
- J. Glasgow, N. Hari Narayanan, B. Chandrasekaran, eds.,
Diagrammatic Reasoning: Cognitive and Computational Perspectives,
Menlo Park, CA /
The MIT Press,
Cambridge, MA, 1995.
- E.R. Tufte, Envisioning Information.
Graphics Press, Cheshire, CT, 1989.
- J. Bertin, Semiology of Graphics: Diagrams, Networks, Maps.
University of Wisconsin Press, 1983.
- R. Arnheim, Visual Thinking,
University of California Press, Berkely, CA, 1969.
- Diagrammatics mailing list:
From Picture Processing to Diagrammatics (selected contributions)
Copyright © 1994 by Zenon Kulpa
Last updated Oct 18, 2008