 This idea meshes well with recent work on conceptual spaces in Gärdenfors (2000). Gärdenfors is concerned both with the semantics and the nature of genuine properties, and his bold and simple hypothesis is that properties carve out convex regions of an \(n\)-dimensional quality space. He supports this hypothesis with an impressive array of logical, linguistic and empirical data. (Looking back at our little spaces above it is not hard to see that the convex regions are those that correspond to the generating (or atomic) conditions and conjunctions of those. See Burger and Heidema 1994.) While Gärdenfors is dealing with properties, it is not hard to see that similar considerations apply to propositions, since propositions can be regarded as 0-ary properties.