Abstract

The paper has two related aims. One is to outline a proposal for a spatially motivated model of discourse, called Discourse Space Theory. The other is to use this framework to explore, in a relatively formalised way, the spatial basis of the conceptual complexities arising in the uses of the English progressive verb form. The theory utilises an abstract space in three dimensions. Verb stems are associated with Aktionsart schemas; aspectual forms like the progressive are viewed as operations on these schemas. The proposal is that geometric concepts, specifically coordinate systems and vectors, can provide a motivated formalism for investigating conceptual structures generated by a human discourse processor.