This paper investigates the semantics of adverbials like ‘page by page’ and ‘stone upon stone’. An analysis is developed in which sentences containing such adverbials have a pluractional semantics; that is, pluralization affects simultaneously the event- and the individual-argument slot of a predicate. Sternefeld's system of plural operators is used and extended for this purpose. The adverbial constrains the relation that is pluralized and makes visible a higher plural operator. In the case of ‘page by page’-type adverbials, this is a (...) fairly standard operator that leads to a simple divisional interpretation. In the case of ‘stone upon stone’-type adverbials, the operator has a stronger semantics that leads to a sequence interpretation. The generality of our theory permits straightforward extension to data like ‘she ran and ran’ and ‘she climbed higher and higher’, among others. Finally we propose that inclusive alternative ordering reciprocals have a pluractional sequence interpretation as well. (shrink)

This paper presents a cross-linguistic survey of the interpretations that decomposition adverbs like _again_ permit. The survey distinguishes two different types of predicates that are combined with _again_: lexical accomplishments like ‘open the door’, on the one hand, and combinations of a motion verb with a directional Prepositional Phrase on the other. There is systematic cross-linguistic variation with the latter type of predicate: a language only permits a restitutive reading of _again_ with such a predicate if the language has resultative (...) constructions. I argue that in these languages the PP can function as a result phrase. In languages without resultatives, the PP cannot be a result phrase, and a restitutive reading is impossible. The data support an analysis of restitutive _again_ that is sensitive to the presence of a result phrase in the syntax. (shrink)