Abstract

In his recently published paper, ‘The Nature of Possibility,’ David Armstrong presents an account of possibility which, he correctly claims, is partly an elaboration of the early Wittgenstein's. Both are combinatorialists. That is to say, both hold that there is a fixed ontology of individuals, properties and relations whose combinations determine the range of all possible states of affairs, and therewith the range of all those totalities of states of affairs which they call possible worlds.But Armstrong's account, I believe, is fatally flawed in ways that Wittgenstein's isn't. And this, I shall argue, is mainly because Armstrong is both an actualist, whose fixed ontology is one of actual individuals, properties and relations, and a reductionist, who tries to reduce the notion of possibility to that of ߢallߣ their combinations. Armstrong seems to think that Wittgenstein at least shares his actualism, and perhaps even his reductionism.