The combination of phrase-structure syntax and model-theoretic semantics have led to a powerful, general model of language. However, previous research has not sufficiently explained how syntactic structure and structural differences across languages relate to mathematical operations on meaning: some constraints observed in the language implementation of these operations are a consequence of the language form, while others can come from human reasoning processes, beyond language. This project investigates this domain from the perspective of partitives and the formal subset relation.
Nominal partitives as 'two of the beans' explicitly express the subset relation in English. Other Romance and Germanic languages have similar, but not identical forms: e.g. in German genitive case can be used. Pseudo-partitives like 'two cup of beans' share many of the lexical items of partitives, so if structure and meaning are projected from lexical items, both need to be considered in parallel. Interestingly, partitives are more constrained than the subset relation. For example, they express only proper partitivity: 'Two of her parents' is odd. We explore the boundaries between linguistic competence and other cognitive systems, with one leading question: what is the source of these constraints? We adopt the methodology of syntax and semantics, with an experimental component. The issue is addressed in the pursuit of three goals: i) to build a syntax/semantics for partitives on the basis of syntactic cross-linguistic variation; ii) to establish which constraints come about from the format and from standard interpretation rules; iii) to specify pragmatic or other general cognitive limitations in the processing of the subset operation.
The project contributes to the integration of syntax and semantics with the cognitive sciences. Furthermore, it allows the researcher to deepen his knowledge of formal and experimental semantics and pragmatics, which are the host institution’s fields of excellence.