Abstract

A Theory of Magnitude (ATOM) suggests that space, time, and quantities are processed through a generalized magnitude system. ATOM posits that task-irrelevant magnitudes interfere with the processing of task-relevant magnitudes as all the magnitudes are processed by a common system. Many behavioral and neuroimaging studies have found support in favor of a common magnitude processing system. However, it is largely unknown whether such cross-domain monotonic mapping arises from a change in the accuracy of the magnitude judgments or results from changes in precision of the processing of magnitude. Therefore, in the present study, we examined whether large numerical magnitude affects temporal accuracy or temporal precision, or both. In other words, whether numerical magnitudes change our temporal experience or simply bias duration judgments. The temporal discrimination (between comparison and standard duration) paradigm was used to present numerical magnitudes (“1,” “5,” and “9”) across varied durations. We estimated temporal accuracy (PSE) and precision (Weber ratio) for each numerical magnitude. The results revealed that temporal accuracy (PSE) for large (9) numerical magnitude was significantly lower than that of small (1) and identical (5) magnitudes. This implies that the temporal duration was overestimated for large (9) numerical magnitude compared to small (1) and identical (5) numerical magnitude, in line with ATOM’s prediction. However, no influence of numerical magnitude was observed on temporal precision (Weber ratio). The findings of the present study suggest that task-irrelevant numerical magnitude selectively affects the accuracy of processing of duration but not duration discrimination itself. Further, we argue that numerical magnitude may not directly affect temporal processing but could influence via attentional mechanisms.

Highlights

  • Processing of space, time, and the number has been an integral part of human cognition

  • The results indicate that the temporal sensitivity did not differ across the three numerical magnitudes (χ2(2) = 2.33, p > 0.05), indicating that the numerical magnitudes did not help in discriminating the duration to be longer or shorter instead they might have biased the temporal perception

  • We proposed that if number and time are processed through a common magnitude system, we would observe differences both in temporal accuracy and temporal precision

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Summary

INTRODUCTION

Processing of space, time, and the number has been an integral part of human cognition. Similar results have been seen when participants were asked to make judgments about time and numerosity under the influence of emotion (Young and Cordes, 2013) Such differential effects on temporal perception across numerical magnitudes show that the processing of numbers and time may not be mediated by a common magnitude processing system. Participants were informed that they would be shown a standard duration with the number ‘‘5’’ followed by comparison durations with numbers ‘‘1,’’ ‘‘5’’ or ‘‘9.’’ They were required to judge whether the comparison stimuli lasted longer or shorter than the standard stimulus in every trial They were asked to make their duration judgments independent of the presented magnitudes.

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