Can without possible worlds. Semantics for anti-Humeans

Metaphysicians of modality are increasingly critical of possible-worlds talk, and increasingly happy to accept irreducibly modal properties – and in particular, irreducible dispositions – in nature. The aim of this paper is to provide the beginnings of a modal semantics which uses, instead of possible-worlds talk, the resources of such an 'anti-Humean' metaphysics. One central challenge to an anti-Humean view is the context-sensitivity of modal language. I show how that challenge can be met and a systematic modal semantics provided, given an independently plausible metaphysics of dispositional properties or potentialities