Modelling with Concept Lattices and Concept Graphs
by
Rudolf Wille
FB Mathematik, TU Darmstadt, D-64289 Darmstadt, Germany

For making human ideas explicit in mathematical models, we suggest structures from Contextual Logic, a mathematical theory of human thought. Already Kant emphasized that the main functions of human thinking are concepts, judgments, and conclusions. Humans grasp realities first by concepts, then combine concepts to judgments and conclude judgments from other judgments. Therefore, traditional philosophical logic was based on doctrines of concepts, judgments, and conclusions. Contextual Logic mathematizes this understanding and, in doing this, elaborates tight connections between language, logic, and mathematics. Philosophically, our approach is based on Peirce's pragmatism. Examples shall demonstrate how modellings can be performed by concept lattices and concept graphs, the basic structures of Contextual Logic.

Date received: June 29, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caoc-08.