Free Rides in Logical Space Diagrams Versus Aristotelian Diagrams

In this paper we compare two types of diagrams for the representation of logical relations such as contradiction and contrariety, namely Logical Space diagrams (LSD) and Aristotelian diagrams (AD). The cognitive potential of Free Ride – defined in terms of tracking by consequence (Shimojima 2015) – is shown to hold for LSDs but not for ADs. The latter, however, do exhibit a greater inspection potential – defined in terms of tracking by correlation. The translational or informational equivalence between LSDs and ADs is contrasted to their lack of computational equivalence and their different degrees of iconicity.