Phenomenology, Quantity, and Numerosity

Overview

Journal J Intell

Specialty Biomedical Engineering

Date 2023 Oct 27

PMID 37888429

Authors

Marco Bertamini

Affiliations

Soon will be listed here.

Abstract

There are many situations in which we interact with collections of objects, from a crowd of people to a bowl of blackberries. There is an experience of the quantity of these items, although not a precise number, and we have this impression quickly and effortlessly. It can be described as an expressive property of the whole. In the literature, the study of this sense of numerosity has a long history, which is reviewed here with examples. I argue that numerosity is a direct perceptual experience, and that all experiences of numerosity, not only estimations, are affected by perceptual organisation.

Citing Articles

Grounding Cognition in Perceptual Experience.

Bianchi I, Actis-Grosso R, Ball L J Intell. 2024; 12(7).

PMID: 39057186 PMC: 11277933. DOI: 10.3390/jintelligence12070066.

References

Harvey B, Dumoulin S . Can responses to basic non-numerical visual features explain neural numerosity responses?. Neuroimage. 2017; 149:200-209. DOI: 10.1016/j.neuroimage.2017.02.012. View

Rugani R, Cavazzana A, Vallortigara G, Regolin L . One, two, three, four, or is there something more? Numerical discrimination in day-old domestic chicks. Anim Cogn. 2013; 16(4):557-64. DOI: 10.1007/s10071-012-0593-8. View

Raphael S, Dillenburger B, Morgan M . Computation of relative numerosity of circular dot textures. J Vis. 2013; 13(2):17. PMC: 4135074. DOI: 10.1167/13.2.17. View

Cretenoud A, Grzeczkowski L, Bertamini M, Herzog M . Individual differences in the Müller-Lyer and Ponzo illusions are stable across different contexts. J Vis. 2020; 20(6):4. PMC: 7416885. DOI: 10.1167/jov.20.6.4. View

Bertamini M, Zito M, Scott-Samuel N, Hulleman J . Spatial clustering and its effect on perceived clustering, numerosity, and dispersion. Atten Percept Psychophys. 2016; 78(5):1460-71. PMC: 4914534. DOI: 10.3758/s13414-016-1100-0. View

van den Berg R, Lindskog M, Poom L, Winman A . Recent is more: A negative time-order effect in nonsymbolic numerical judgment. J Exp Psychol Hum Percept Perform. 2017; 43(6):1084-1097. DOI: 10.1037/xhp0000387. View

Apthorp D, Bell J . Symmetry is less than meets the eye. Curr Biol. 2015; 25(7):R267-8. DOI: 10.1016/j.cub.2015.02.017. View

Balas B . Seeing number using texture: How summary statistics account for reductions in perceived numerosity in the visual periphery. Atten Percept Psychophys. 2016; 78(8):2313-2319. PMC: 6070299. DOI: 10.3758/s13414-016-1204-6. View

Guest M, Zito M, Hulleman J, Bertamini M . On the usefulness of graph-theoretic properties in the study of perceived numerosity. Behav Res Methods. 2022; 54(5):2381-2397. PMC: 9579069. DOI: 10.3758/s13428-021-01733-z. View

10.

Ginsburg N, Nicholls A . Perceived numerosity as a function of item size. Percept Mot Skills. 1988; 67(2):656-8. DOI: 10.2466/pms.1988.67.2.656. View

11.

Schneider M, Beeres K, Coban L, Merz S, Susan Schmidt S, Stricker J . Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: a meta-analysis. Dev Sci. 2016; 20(3). DOI: 10.1111/desc.12372. View

12.

Libertus M, Brannon E . Stable individual differences in number discrimination in infancy. Dev Sci. 2010; 13(6):900-6. PMC: 2966022. DOI: 10.1111/j.1467-7687.2009.00948.x. View

13.

Bertamini M, Wade N . Mario Ponzo (1928) on perception of numerosity: A translation and commentary. Perception. 2023; 52(8):545-575. DOI: 10.1177/03010066231176744. View

14.

Gebuis T, Cohen Kadosh R, Gevers W . Sensory-integration system rather than approximate number system underlies numerosity processing: A critical review. Acta Psychol (Amst). 2016; 171:17-35. DOI: 10.1016/j.actpsy.2016.09.003. View

15.

Vos P, van Oeffelen M, Tibosch H, Allik J . Interactions between area and numerosity. Psychol Res. 1988; 50(3):148-54. DOI: 10.1007/BF00310175. View

16.

Cretenoud A, Barakat A, Milliet A, Choung O, Bertamini M, Constantin C . How do visual skills relate to action video game performance?. J Vis. 2021; 21(7):10. PMC: 8297421. DOI: 10.1167/jov.21.7.10. View

17.

He L, Zhou K, Zhou T, He S, Chen L . Topology-defined units in numerosity perception. Proc Natl Acad Sci U S A. 2015; 112(41):E5647-55. PMC: 4611617. DOI: 10.1073/pnas.1512408112. View

18.

Dobias J, Papathomas T, Sarwate A . Ponzo’s Illusion in 3D: Perspective Gradients Dominate Differences in Retinal Size. Multisens Res. 2018; 29(4-5):421-38. DOI: 10.1163/22134808-00002522. View

19.

Tokita M, Ishiguchi A . How might the discrepancy in the effects of perceptual variables on numerosity judgment be reconciled?. Atten Percept Psychophys. 2010; 72(7):1839-53. DOI: 10.3758/APP.72.7.1839. View

20.

Gregory R . DISTORTION OF VISUAL SPACE AS INAPPROPRIATE CONSTANCY SCALING. Nature. 1963; 199:678-80. DOI: 10.1038/199678a0. View