A multi-dimensional treatment of quantification in extraordinary English

In this paper I revive two important formal approaches to the interpretation of natural language, that of Montague and that of Karttunen and Peters. Armed with insights from dynamic semantics (Heim, Krifka) the two turn out to stand up against age-old criticisms in an orthodox fashion. The plan is mainly methodological, as I only want to illustrate the technical feasibility of the revived proposals. Even so, there are illuminating and welcome empirical consequences on the subject of scope islands (as discussed by Abusch and Kratzer, among many others), as well as unintended theoretical implications in the contextualist debate (Grice, Recanati, Simons, Stanley, and many others again).