Cross-linguistic regularities in the frequency of number words

Dehaene, Stanislas

doi:10.1016/0010-0277(92)90030-l

Cited by 441 publications

(380 citation statements)

References 48 publications

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“…We therefore simply used the raw counts of number words. This provides a distribution of number words much like that observed cross-linguistically by Dehaene and Mehler (1992), but likely overestimates the probability of "one". Noisy data that fits the generative assumptions of the model was created for the learner by pairing each set size with the correct word with probability α, and with a uniformly chosen word with probability 1 − α.…”

Section: The Probabilistic Modelmentioning

confidence: 74%

Bootstrapping in a language of thought: A formal model of numerical concept learning

Piantadosi¹,

Tenenbaum²,

2012

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In acquiring number words, children exhibit a qualitative leap in which they transition from understanding a few number words, to possessing a recursive system of interrelated numerical concepts. We present a computational framework for understanding this inductive leap as the consequence of statistical inference over a sufficiently powerful representational system. We provide an implemented model that is powerful enough to learn number word meanings and other related conceptual systems from naturalistic data. The model shows that bootstrapping can be made computationally and philosophically well-founded as a theory of number learning. Our approach demonstrates how learners may combine core cognitive operations to build sophisticated representations during the course of development, and how this process explains observed developmental patterns in number word learning.

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Section: The Probabilistic Modelmentioning

confidence: 74%

Bootstrapping in a language of thought: A formal model of numerical concept learning

Piantadosi¹,

Tenenbaum²,

2012

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“…9 We refer to the survey article of Dehaene and the other articles in the special issue of Cognition 44 (1992). Dehaene and Mehler (1992: 2) state that a "a minimal set of principles of elementary arithmetic might be universal, possibly regardless of culture, language or level of education". The authors refer to the preverbal system of counting and arithmetical reasoning that humans share with a broad range of animals, and to the distance effect in numerical comparison.…”

Section: The Cognitive Status Of Sets Of Favourite Numbersmentioning

confidence: 99%

The language user as an arithmetician

Pollmann

Jansen

1996

Cognition

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“…These two systems differentiate in several dimensions: frequency of use, visual complexity, and processing characteristics. Although both Arabic digits and verbal numbers are among the most frequent words of any language (Dehaene, 1997), the frequency of Arabic digits is even higher than that of verbal numbers (Dehaene & Mehler, 1992). The Arabic numeral system has a simple surface format, which can be characterized as a logographic notational system.…”

Section: Introductionmentioning

confidence: 99%

Effects of symbol type and numerical distance on the human event-related potential

Jiang

Qiao

et al. 2010

Neuropsychologia

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a b s t r a c tThis study investigated the influence of the symbol type and numerical distance of numbers on the amplitudes and peak latencies of event-related potentials (ERPs). Our aim was to (1) determine the point in time of magnitude information access in visual number processing; and (2) identify at what stage the advantage of Arabic digits over Chinese verbal numbers occur. ERPs were recorded from 64 scalp sites while subjects (n = 26) performed a classification task. Results showed that larger ERP amplitudes were elicited by numbers with distance-close condition in comparison to distance-far condition in the VPP component over centro-frontal sites. Furthermore, the VPP latency varied as a function of the symbol type, but the N170 did not. Such results demonstrate that magnitude information access takes place as early as 150 ms after onset of visual number stimuli and the advantage of Arabic digits over verbal numbers should be localized to the VPP component. We establish the VPP component as a critical ERP component to report in studies of numerical cognition and our results call into question the N170/VPP association hypothesis and the serial-stage model of visual number comparison processing.

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Cross-linguistic regularities in the frequency of number words

Cited by 441 publications

References 48 publications

Bootstrapping in a language of thought: A formal model of numerical concept learning

Bootstrapping in a language of thought: A formal model of numerical concept learning

The language user as an arithmetician

Effects of symbol type and numerical distance on the human event-related potential

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