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

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intergration is specifically relevant. When neglect patients would exhibit particular<br />

impairments in <strong>the</strong>se triplets this would indicate that neglect not only hinders <strong>the</strong><br />

processing <strong>of</strong> magnitude information but also <strong>of</strong> structural information when presented<br />

with two-digit <strong>number</strong>s. In turn, this would imply that <strong>the</strong> mental <strong>number</strong> line<br />

incorporates such structural <strong>place</strong>-<strong>value</strong> information.<br />

Section 5: A computational model <strong>of</strong> <strong>place</strong>-<strong>value</strong> integration in two-digit <strong>number</strong><br />

comparison<br />

Study 7: Two-digit <strong>number</strong> processing – holistic, decomposed or hybrid? A<br />

computational modelling approach<br />

This last study is not an empirical study, but aimed at clarifying an issue for<br />

which <strong>the</strong>re is currently no empirical resolution. At <strong>the</strong> moment <strong>the</strong>re are three<br />

different conceptualizations <strong>of</strong> how <strong>number</strong> magnitude representation may be<br />

organized. <strong>The</strong> assumption <strong>of</strong> a holistic representation sees <strong>the</strong> magnitude <strong>of</strong> a <strong>number</strong><br />

to be represented as a single integrated entity, <strong>the</strong>reby not retaining <strong>the</strong> <strong>place</strong>-<strong>value</strong><br />

<strong>structure</strong> <strong>of</strong> <strong>the</strong> <strong>Arabic</strong> <strong>number</strong> system. Contrarily, <strong>the</strong> strictly decomposed view<br />

assumes that each power level <strong>of</strong> a given <strong>number</strong> (e.g., tens and units <strong>of</strong> two-digit<br />

<strong>number</strong>s) is represented separately. Finally, <strong>the</strong> hybrid model <strong>of</strong> <strong>number</strong> magnitude<br />

representation is a combination <strong>of</strong> <strong>the</strong> former two models assuming both decomposed<br />

representations <strong>of</strong> <strong>the</strong> individual power levels as well as an overall holistic<br />

representation <strong>of</strong> a given <strong>number</strong>. In particular, <strong>the</strong> strictly decomposed and <strong>the</strong> hybrid<br />

model cannot be differentiated on <strong>the</strong> based <strong>of</strong> empirical data. <strong>The</strong>refore, three<br />

network models corresponding to each <strong>of</strong> above mentioned representational models<br />

were programmed to evaluate which <strong>of</strong> <strong>the</strong>se models accounts best for <strong>the</strong><br />

accumulated empirical data. Particular interest was paid whe<strong>the</strong>r <strong>the</strong> models would<br />

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