Natural language quantification is not polysemous

Modeling Quantification with Polysemous Nouns

Babonnaud et al. (2016) introduce a framework for modeling systematic polysemy that combines Lexicalized Tree Adjoining Grammar (LTAG) with frame semantics and Hybrid Logic (HL). The components of the syntax-semantics interface are elementary LTAG trees paired with frame descriptions that are expressed by possibly underspecified HL formulas. A brief review of this framework will be given in Sec...

Substitutional Semantics and Natural Language Quantification

Dynamic Natural Language Processing with Recurrence Quantification Analysis

Abstract. Writing and reading are dynamic processes. As an author composes a text, a sequence of words is produced. This sequence is one that, the author hopes, causes a revisitation of certain thoughts and ideas in others. These processes of composition and revisitation by readers are ordered in time. This means that text itself can be investigated under the lens of dynamical systems. A common...

Delimited continuations in natural language: quantification and polarity sensitivity

Making a linguistic theory is like making a programming language: one typically devises a type system to delineate the acceptable utterances and a denotational semantics to explain observations on their behavior. Via this connection, the programming language concept of delimited continuations can help analyze natural language phenomena such as quantification and polarity sensitivity. Using a lo...

Object Determination Logic Quantification - A System for Natural Language Processing

In this paper we describe a new quantification theory based on the Object Determination Logic(ODL). This theory extends the system of classical quantifiers as a system including the classical and linguistic ones. It takes into account typicality, as a dimension of cognition. This theory represents the background of a computational model in the semantic analysis of natural languages. This paper ...