Abstract

Behavioral studies of numerical cognition have shown that perceptual threshold for numerosity discrimination depends on the range of numerical values to be estimated. Discrimination threshold is constant when comparing very small numerosities via the mechanism called subitizing, while it increases as a function of numerosity for numbers beyond that range governed by subitizing. However, when numerosity gets so large that the individual elements start to form a cluttered ensemble, discrimination threshold increases as a function of the square root of numerosity. These behavioral patterns suggest that our sense of number is not based on a unitary mechanism and is rather based on multiple numerosity processing mechanisms depending on the absolute numerosity to be estimated. In this study, we demonstrate neurophysiological evidence for such multiple mechanisms. Participants’ electroencephalogram (EEG) was recorded while they viewed arrays containing either very small (1–4) or very large (100–400) number of dots with systematic variations in non-numerical cues. A linear model that tested the effects of numerical and non-numerical cues on the visual-evoked potentials (VEPs) revealed strong neural sensitivity to numerosity around 160–180 ms over right occipito-parietal sites irrespective of the numerical range presented. In contrast, earlier neural responses (~100 ms) showed markedly distinct patterns across the different numerical ranges tested. These results indicate that differences in behavioral response patterns in numerosity estimation across various numerical ranges may arise from the differences in the first stages of visual analysis. Collectively, the findings provide a firmer ground for the idea that there exists a brain system specifically dedicated for numerosity processing, yet they also suggest that multiple early visual cortical mechanisms converge to that numerosity processing stage later in the visual stream.

Highlights

  • While human linguistic abilities allow developing specific codes and symbols for numbers, which in turn lead to abstract numerical concepts and formal mathematics, we possess a more intuitive and automatic ability: the ability to rapidly tell the approximate number of items in a given visual scene, without the opportunity to count them (Gallistel and Gelman, 1992; Dehaene, 2011)

  • We focused on the neural responses elicited by the absolute numerical value of the stimuli, and our design allowed us to assess the contributions of other non-numerical visual attributes to the modulation of the event-related potentials (ERPs) and ruling out such visual attributes’ influence as cues for numerosity

  • Our results provide new evidence concerning the neurophysiological underpinnings of numerosity perception in different ranges of numerical values

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Summary

Introduction

While human linguistic abilities allow developing specific codes and symbols for numbers, which in turn lead to abstract numerical concepts and formal mathematics, we possess a more intuitive and automatic ability: the ability to rapidly tell the approximate number of items in a given visual scene (or numerosity), without the opportunity to count them (Gallistel and Gelman, 1992; Dehaene, 2011). An increasing amount of evidence both from psychophysical (i.e., Arrighi et al, 2014; Fornaciai et al, 2016) and neuroimaging studies (i.e., Harvey et al, 2013; Park et al, 2016) suggests that this is not the case, and that approximate numerical abilities are likely subserved by a dedicated neural circuitry

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