In recent work I have attempted to capture the interpretive significance of the `focus position' of Hungarian in terms of a broad procedural generalisation, which I call `interpretational dependence'. An important theoretical consequence of this kind of generalisation is to shift the burden of the explanation of certain phenomena away from abstract syntactic operations and onto (independently necessary) inferential pragmatic processes. In this talk I will briefly outline the notion of interpretational dependence in connection with the `focus position' data and speculate on how it may have wider significance. In particular, it may help to explain interactions of quantifier scope and information structure and the expression of aspect in Hungarian.