A Semiotic-Conceptual Analysis of Euler Diagrams and Concept Lattices
Uta Priss
Abstract.
Semiotic-Conceptual Analysis (SCA) considers diagrams (and in general any signs) as consisting of representamens, denotations and interpretations which supports investigating these three components individually and jointly. A core notion for diagram research is “observability†which refers to logically valid statements that can be visually extracted from diagrams. This notion is included into the SCA vocabulary and discussed with respect to Euler and Hasse diagrams.
Thank you for your presentation. Do you have plans to formalize observability in the case of Hasse diagrams? It would be interesting to see a formal charaterisation of their observational advantages as compare to, say, set theoretic expressions that include A subset B subset C, and in particular to constrast that with Euler diagrams.
Thank you for your comment. Yes it would be interesting to formalise observability further. At the moment I am thinking of observability as an ordering relation amongst signs. Most likely a more specific definition of observability will depend on the type of sign and on the kind of information that is considered to be observable. I do intend to further work on this.
Thanks Uta. I’ll look forward to seeing more publications in the future.