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

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INTRODUCTION<br />

Patients suffering from neglect usually fail to attend to or respond to objects and/or<br />

people in <strong>the</strong> hemispace contralateral to <strong>the</strong>ir lesion site (Kerkh<strong>of</strong>f, 2000; Robertson &<br />

Halligan, 1999). When asked to bisect a physical line, neglect patients misallocate <strong>the</strong> true<br />

midpoint <strong>of</strong> <strong>the</strong> line and <strong>place</strong> it towards <strong>the</strong> right (Marshall & Halligan, 1989). Fur<strong>the</strong>rmore,<br />

neglect not only impairs <strong>the</strong> perception <strong>of</strong> visual objects but also affects representational<br />

space in general (Bisiach & Luzzatti, 1978).<br />

While such symptoms <strong>of</strong> neglect concerning external space have been studied<br />

extensively, <strong>the</strong> impact <strong>of</strong> neglect on <strong>the</strong> representation <strong>of</strong> <strong>number</strong> magnitude as well as its<br />

processing has only more recently been focussed on (Goebel, Calabria, Farnè, & Rossetti,<br />

2006; Priftis, Zorzi, Meneghello, Marenzi, & Umilà, 2006; Rossetti et al., 2004; Vuilleumier,<br />

Ortigue, & Brugger, 2004 and Zorzi, Priftis, & Umiltà, 2002; Zorzi, Priftis, Meneghello,<br />

Marenzi, & Umiltà, 2006). Number magnitude is assumed to be represented along a<br />

continuous (Priftis et al., 2006; Rossetti et al., 2004) and spatially organized Mental Number<br />

Line (MNL; Dehaene & Cohen, 1995; Restle, 1970), upon which smaller <strong>number</strong>s are<br />

represented on <strong>the</strong> left and larger <strong>number</strong>s are associated with <strong>the</strong> right (Dehaene, Bossini, &<br />

Gireaux, 1993; Gevers, Verguts, Reynvoet, Caessens, & Fias, 2006; Zorzi et al., 2006; Zorzi<br />

et al., 2002; Priftis et al., this issue, but see Vuilleumier et al., 2004).<br />

In a seminal study, Zorzi et al. (2002) orally presented neglect patients with two<br />

<strong>number</strong>s (e.g. “one” and “nine”) that defined a numerical interval and asked <strong>the</strong>m to bisect<br />

this interval by naming <strong>the</strong> arithmetical middle (e.g. “five”) without doing any calculations.<br />

<strong>The</strong> size <strong>of</strong> <strong>the</strong> numerical interval was varied much as <strong>the</strong> line length is in <strong>the</strong> commonly used<br />

line bisection task. <strong>The</strong> authors observed that error rates increased as a function <strong>of</strong> <strong>the</strong> interval<br />

size as did <strong>the</strong> relative magnitude <strong>of</strong> <strong>the</strong> erroneous responses. For instance, all neglect patients<br />

produced errors such as falsely naming “6”, “7”, or “8” as being <strong>the</strong> midway between 1 and 9.<br />

On <strong>the</strong> o<strong>the</strong>r hand errors such as “2”, “3”, or “4” did not occur. So, neglect patients<br />

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