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The influence of the place-value structure of the Arabic number ...

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ABSTRACT<br />

Currently, <strong>the</strong>re are three competing <strong>the</strong>oretical accounts <strong>of</strong> <strong>the</strong> nature two-digit<br />

<strong>number</strong> magnitude representation: a holistic, a strictly decomposed, and a hybrid model.<br />

Observation <strong>of</strong> <strong>the</strong> unit-decade compatibility effect (Nuerk et al., 2001) challenged <strong>the</strong> view<br />

<strong>of</strong> two-digit <strong>number</strong> magnitude to be represented as one integrated entity. However, at <strong>the</strong><br />

moment <strong>the</strong>re is no way to distinguish between <strong>the</strong> decomposed and <strong>the</strong> hybrid model<br />

empirically. <strong>The</strong> present study addressed this issue using a computational modelling<br />

approach. Three network models complying with <strong>the</strong> constraints <strong>of</strong> ei<strong>the</strong>r <strong>of</strong> <strong>the</strong> three<br />

<strong>the</strong>oretical models were programmed and trained on two-digit <strong>number</strong> comparison.<br />

Evaluation <strong>of</strong> <strong>the</strong> data produced indicated that by means <strong>of</strong> <strong>the</strong>ir power to account for<br />

empirical effects in <strong>the</strong> most parsimonious way <strong>the</strong> empirical data were simulated best by <strong>the</strong><br />

strictly decomposed model. Although <strong>the</strong> more complex hybrid model accounted for all<br />

empirical effects as well. Implications <strong>of</strong> <strong>the</strong>se results on our understanding <strong>of</strong> <strong>the</strong> nature <strong>of</strong><br />

<strong>the</strong> human <strong>number</strong> magnitude representation are discussed.<br />

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