Abstract

Monotonicity, in various forms, is a pervasive phenomenon in logic, linguistics, and related areas. In theoretical linguistics, monotonicity properties are relevant to a large array of semantic phenomena and to the presence of pragmatic inferences such as scalar implicatures. In logic and mathematics, monotonicity guarantees the existence of fixed points and the well-formedness of inductive definitions. Also, monotonicity is closely tied to reasoning, in formal as well as natural languages. Recent logical and linguistic work on monotonicity has also found its way into computation systems for natural language processing and cognitive models of human reasoning. The goal of our workshop is to bring together researchers working on monotonicity or related properties, from different fields and perspectives.