Abstract

The number of elements in a small set of items is appraised in a fast and exact manner, a phenomenon called subitizing. In contrast, humans provide imprecise responses when comparing larger numerosities, with decreasing precision as the number of elements increases. Estimation is thought to rely on a dedicated system for the approximate representation of numerosity. While previous behavioral and neuroimaging studies associate subitizing to a domain-general system related to object tracking and identification, the nature of small numerosity processing is still debated. We investigated the neural processing of numerosity across subitizing and estimation ranges by examining electrophysiological activity during the memory retention period in a delayed numerical match-to-sample task. We also assessed potential differences in the neural signature of numerical magnitude in a fully non-symbolic or cross-format comparison. In line with behavioral performance, we observed modulation of parietal-occipital neural activity as a function of numerosity that differed in two ranges, with distinctive neural signatures of small numerosities showing clear similarities with those observed in visuospatial working memory tasks. We also found differences in neural activity related to numerical information in anticipation of single vs. cross-format comparison, suggesting a top-down modulation of numerical processing. Finally, behavioral results revealed enhanced performance in the mixed-format conditions and a significant correlation between task performance and symbolic mathematical skills. Overall, we provide evidence for distinct mechanisms related to small and large numerosity and differences in numerical encoding based on task demands.

Highlights

  • IntroductionHumans possess the ability to rapidly assess the number of items in a set (numerosity) without the necessity to count the objects

  • Humans possess the ability to rapidly assess the number of items in a set without the necessity to count the objects

  • During an explicit numerical match-to-sample task, in addition to the behavioral signatures of Object Tracking System (OTS) and Approximate Number System (ANS), we found that the two ranges were characterized by differential modulation of parietal-occipital neural activity by numerical information

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Summary

Introduction

Humans possess the ability to rapidly assess the number of items in a set (numerosity) without the necessity to count the objects. This dichotomy led to the hypothesis that subitizing and estimation are subserved, at least partially, by different mechanisms (see Piazza, 2010 for review). Numerosity estimation is thought to rely on the Approximate Number System (ANS; Feigenson et al, 2004), a preverbal mechanism characterized by the noisy encoding of numerical information (Feigenson et al, 2004). The ANS is often modeled as a mental number line where numerical magnitudes are coded as Gaussian distributions showing an increase in overlap as numerosity increases (either due to scalar variability or compressive scaling; Gallistel and Gelman, 1992; Dehaene, 2003), thereby accounting for the imprecise estimation of large sets and ratio-dependent performance in comparing different numerosities (in accordance with Weber’s law). The subitizing phenomenon has been related to a domain-general system for object identification and localization in space, named Object Tracking System (OTS) (Trick and Pylyshyn, 1994)

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