From Formal Concept Analysis to Contextual Logic

A main goal of Formal Concept Analysis from its very beginning has been the support of rational communication. The source of this goal lies in our understanding of mathematics as a science which should encompass both its philosophical basis and its social consequences. This can be achieved by a process named ’restructuring’. This approach shall be extended to logic, which is based on the doctrines of concepts, judgments and conclusions. The program of restructuring logic is named Contextual Logic (CL). A main idea of CL is to combine Formal Concept Analysis and Concept Graphs (which are mathematical structures based on conceptual graphs). Concept graphs formulate judgments on the contained concepts, and conclusions can be drawn by inferring one concept graph from another. So we see that concept graphs can be understood as a crucial part of the mathematical implementation of CL, based on Formal Concept Analysis as the mathematization of the doctrine of concepts.