Development of elementary numerical abilities: a neuronal model. Dehaene, S. & Changeux, J. P. J Cogn Neurosci, 5(4):390–407, 1993. doi abstract bibtex Abstract Despite their lack of language, human infants and several animal species possess some elementary abilities for numerical processing. These include the ability to recognize that a given numerosity is being presented visually or auditorily, and, at a later stage of development, the ability to compare two nume-rosities and to decide which is larger. We propose a model for the development of these abilities in a formal neuronal network. Initially, the model is equipped only with unordered numerosity detectors. It can therefore detect the numerosity of an input set and can be conditioned to react accordingly. In a later stage, the addition of a short-term memory network is shown to be sufficient for number comparison abilities to develop. Our computer simulations account for several phenomena in the numerical domain, including the distance effect and Fechner's law for numbers. They also demonstrate that infants' numerosity detection abilities may be explained without assuming that infants can count. The neurobiological bases of the critical components of the model are discussed.
@Article{Dehaene1993a,
author = {Dehaene, S. and Changeux, J. P.},
journal = {J Cogn Neurosci},
title = {Development of elementary numerical abilities: a neuronal model.},
year = {1993},
number = {4},
pages = {390--407},
volume = {5},
abstract = {Abstract Despite their lack of language, human infants and several
animal species possess some elementary abilities for numerical processing.
These include the ability to recognize that a given numerosity is
being presented visually or auditorily, and, at a later stage of
development, the ability to compare two nume-rosities and to decide
which is larger. We propose a model for the development of these
abilities in a formal neuronal network. Initially, the model is equipped
only with unordered numerosity detectors. It can therefore detect
the numerosity of an input set and can be conditioned to react accordingly.
In a later stage, the addition of a short-term memory network is
shown to be sufficient for number comparison abilities to develop.
Our computer simulations account for several phenomena in the numerical
domain, including the distance effect and Fechner's law for numbers.
They also demonstrate that infants' numerosity detection abilities
may be explained without assuming that infants can count. The neurobiological
bases of the critical components of the model are discussed.},
doi = {10.1162/jocn.1993.5.4.390},
institution = {INSERM and CNRS, Paris.},
language = {eng},
medline-pst = {ppublish},
pmid = {23964915},
timestamp = {2014.07.01},
}
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