A Completenesss Theorem for a 3-Valued Semantics for a First-order Language

This document presents a Gentzen-style deductive calculus and proves that it is complete with respect to a 3-valued semantics for a language with quantifiers. The semantics resembles the strong Kleene semantics with respect to conjunction, disjunction and negation. The completeness proof for the sentential fragment fills in the details of a proof sketched in Arnon Avron (2003). The extension to quantifiers is original but uses standard techniques

On the Evidence for Prelinguistic Concepts

ABSTRACT: Language acquisition is often said to be a process of mapping words into pre-existing concepts. If that is right, then we ought to be able to obtain experimental evidence for the existence of concepts in prelinguistic children. One line of research that attempts to provide such evidence is the work of Paul Quinn, who claims that looking-time results show that four-month old infants form "category representations". This paper argues that Quinn's results have an alternative explanation. A distinction is drawn between conceptual thought and the perception of comparative similarity relations, and it is argued that Quinn's results can be explained in terms of the latter rather than the former

On the Evidence for Prelinguistic Concepts

Language acquisition is often said to be a process of mapping words into pre-existing concepts. If that is right, then we ought to be able to obtain experimental evidence for the existence of concepts in prelinguistic children. One line of research that attempts to provide such evidence is the work of Paul Quinn, who claims that looking-time results show that four-month old infants form “category representations”. This paper argues that Quinn’s results have an alternative explanation. A distinction is drawn between conceptual thought and the perception of comparative similarity relations, and it is argued that Quinn’s results can be explained in terms of the latter rather than the former