Abstract
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 (1998) 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 (Dalrymple et al. 1998) have a pluractional sequence interpretation as well.
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