Naturalised Inferentialism and the Incompleteness Problem

The paper argues that the naturalised version of semantic inferentialism advanced by Jaroslav Peregrin faces a problem which, following Michael Devitt, I call the incompleteness problem. The main issue has to do with how, according to inferentialism, language is connected to the world. My main claim is that Peregrin’s Protagorean account of correctness is in tension with the idea, made also by Robert Brandom, that language is embodied in the world analogically to how physical objects are embodied in games like football. Against this, I show the two are in fact importantly disanalogical. To solve the incompleteness problem, I argue that naturalised inferentialism should learn the central lessons of semantic externalism, namely that the connection between language and the world must be fundamentally external to the mind, or in Peregrin’s case, to the society of normative attitudes.