Pierre Pica

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers.

Nous distinguons deux types d'anaphores en montrant que la comprehension des relations à longue distance met en jeu plusieurs propriétés de la grammaire comme l'association, ou non, avec un rôle thématique, ou à une position argumentale, et montrons comment les mécanismes mis en jeu sont universels - et ont des conséquences sur l'architecture de la grammaire (sur la définition de la notion de c-commande par exemple). L'article montre en particulier qu'il ne peut y avoir de réciproque ou de clitique lié a longue distance.

In this paper, we show that many of the dramatic changes that took place in the course of the history of the English complementation system are the result of a simple morphological Change in the determiner system. We propose that Old English (OE) evolved from a system in which 'complements' clauses, relative clauses and DP were interpreted as adverbials to a system in which they are interpreted as arguments of the verb. As the determiner acquired certain certain type of morphological feature , a complementation system developed. We show that this claim is is reinforced by the fact that apparently unrelated changes all follow from the nature of the determiner system.

Much research supports the existence of an Approximate Number System (ANS) that is recruited by infants, children, adults, and non-human animals to generate coarse, non-symbolic representations of number. This system supports simple arithmetic operations such as addition, subtraction, and ordering of amounts. The current study tests whether an intuition of a more complex calculation, division, exists in an indigene group in the Amazon, the Mundurucu, whose language includes no words for large numbers. Mundurucu children were presented with a video event depicting a division transformation of halving, in which pairs of objects turned into single objects, reducing the array's numerical magnitude. Then they were tested on their ability to calculate the outcome of this division transformation with other large-number arrays. The Mundurucu children effected this transformation even when non-numerical variables were controlled, performed above chance levels on the very first set of test trials, and exhibited performance similar to urban children who had access to precise number words and a surrounding symbolic culture. We conclude that a halving calculation is part of the suite of intuitive operations supported by the ANS.