The Meaning of More / Oxford Studies in Semantics and Pragmatics Bd.12 (PDF)

This book reimagines the compositional semantics of comparative sentences using words such as more, as, too, and others. The book's central thesis entails a rejection of a fundamental assumption of degree semantic frameworks: that gradable adjectives like tall lexicalize functions from individuals to degrees, i.e., measure functions.

Alexis Wellwood argues that comparative expressions in English themselves introducemeasure functions; this is the case whether that morphology targets adjectives, as intaller or more intelligent; nouns, as in more coffee, more coffees; verbs, such as run more, jump more; or expressions of other categories. Furthermore, she suggests that expressions that comfortably and meaningfully appear in the comparative form should be distinguished from
those that do not in terms of a general notion of "measurability": a measurable predicate has a domain of application with non-trivial structure. This notion unifies the independently motivated distinctions between, for example, gradable and non-gradable adjectives, mass and count nouns, singular and plural noun phrases, and telic and atelic verb
phrases. Based on careful examination of the distribution of dimensions for comparison within the class of measurable predicates, she ties the selection of measure functions to the specific nature and structure of the domain entities targeted for measurement.

The book ultimately explores how, precisely, we should understand semantic theories that invoke the "nature" of domain entities: does the theory depend for its explanation on features of metaphysical reality, or something else? Such questions are especially pertinent in light of a growing body of research in cognitive science exploring the understanding and acquisition of comparative sentences.