Abstract

One of the central issues in the recent discussion of rule-following has been the apparent gap between the finitude of any facts about the rule-follower and the infinitude of possible applications of rules. In this paper the author argues that the combination of the rule-follower's disposition and explicit directions can fill this gap with respect to the interpretation of individual words, but that the problem of finitude remains a serious threat to compositional semantics for natural language because there are no explicit directions we can rely on in learning its rules