How direct is the mapping between linguistic constructions and their interpretations? Much less direct than we commonly assume, according to Daniel Wedgwood. Extending current ideas from frameworks like Relevance Theory and Dynamic Syntax, Wedgwood upholds a radical position on modelling linguistic competence: the idea of interfacing static syntactic and semantic representations must be abandoned in favour of models of the incremental construction of meaning during parsing---which may involve significant pragmatic enrichment.