Speaking of Things and Stuff: The Semantics of Plurals and Mass Terms
Language and Logic (Introductory)
First week, from 14:00 to 15:30
Lecture 1: Introduction: data and methodology
Lecture 2: The semantics of plurals
Lecture 3: Plural logic
Lecture 4: The semantics of mass terms
Lecture 5: Advanced topics
The first lecture of the course introduces data and methodology. We present the key semantic data about plurals and mass terms, and emphasize the semantic similarities between these two classes of expressions. Moreover, we provide an accessible presentation of the methodological principles and frameworks that play an important role in the development of main semantic approaches to plurals and mass terms (e.g. theories of truth, model theory, mereology, and higher-order logic).
The next two lectures focus on the semantics of plurals. We introduce the most influential semantic analyses of plurals in linguistics and philosophy. We also discuss a new semantic paradigm emerged within philosophical logic, know as plural logic, and analyze its relation to the traditional semantic analyses of plurals proposed in the linguistic literature.
The fourth lecture covers the semantics of mass terms. We highlight the similarities between plurals and mass terms, emphasizing the approaches that promise to provide a unified account of the two classes of expressions.
The fifth and last lecture will be devoted to a selection of more advanced topics, such as higher-order plurals, sensitivity to order and repetition, the interaction between plurals and modalities, mixtures, and the ontology of plurals and mass terms. We will provide an overview of these topics, which will suggest to more advanced students themes for new and independent research.
As is clear from this brief outline, this course involves core issues in areas of interest for ESSLLI: logic (plural logic, higher-order logic, modal logic), language (semantics of natural language plurals and mass terms), and methodology (methodological issues in semantics and logic).
Expected level and prerequisites
Familiarity with the basic methods of mathematical logic, rudiments of formal semantics and model theory. The course will be accessible to students who have taken an advanced undergraduate introduction to logic and formal semantics.
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