Algebraic semantics in language and philosophy

Godehard Link

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Syntax, Semantics, Linguistic Variation Logic, Reasoning, and Knowledge Advanced Algebra and Logic

Abstract

Preface Introduction The logical analysis of plurals and mass terms: a lattice-theoretical approach Plural Hydras. On the logic of relative clause constructions with multiple heads Generalized Quantifiers and Plurals Je drei AEpfel - three apples each: Quantification and the German je First-Order Axioms for the Logic of Plurality Ten Years of Research on Plurals - Where Do We Stand? The French Revolution - a Philosophical Event? Algebraic Semantics of Event Structures The Ontology of Individuals and Events Quantity and number Algebraic semantics for Natural Language: Some philosophy, some applications Language and ontology Mereology, Second-order logic, and Set theory Appendix: A chapter in lattice theory.

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2004Quantity judgments and individuation: evidence that mass nouns count 2005Prepositional Aspect and the Algebra of Paths 2017Parts of a Whole: Distributivity as a Bridge between Aspect and Measurement 2009The Interpretation of Functional Heads: Using Comparatives to Explore the Mass/Count Distinction 2011Measurement and modality: The scalar basis of modal semantics 2014The interaction of compositional semantics and event semantics 2009Number-neutral bare plurals and the multiplicity implicature 2005The Logic and Meaning of Plurals. Part I

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