Exploratory diagramming and diagram theory: Greimas, Peirce and Châtelet

ABSTRACT Exploratory diagrams can be distinguished from statistical and explanatory diagrams in that they do not merely communicate what already exists, but provide a method of discovery, experiment and creative invention. As such, they are recommended as productive modes which can be utilized for art, education and philosophy. This paper seeks to draw out a number of key concepts and approaches to exploratory diagramming by examining three powerful diagram theories. First, A.J. Greimas’ invention of the ‘semiotic square’; second, C.S. Peirce’s semiotic account of the diagram as icon; and third, Gilles Châtelet’s retelling of scientific and mathematical discovery through diagrammatic devices. Respectively, these theories can each be identified according to a primary operative principle: opposition, relation and gesture.