From number sense to number symbols. An archaeological perspective

Francesco d’Errico1,2, Luc Doyon1,3, Ivan Colagè4, Alain Queffelec1, Emma Le Vraux1, Mario Giacobini5, Bernard Vandermeersch1, Bruno Maureille1
1Centre National de la Recherche Scientifique, UMR 5199 – PACEA, Université de Bordeaux, Pessac, France
2SFF Centre for Early Sapiens Behaviour (SapienCE), University of Bergen, Øysteinsgate 3, Postboks 7805, 5020, Bergen, Norway
3Department of Anthropology, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal, Québec, Canada H3C 3J7
4Faculty of Philosophy, Pontifical Antonianum University, Via Merulana 124, 00185 Rome, Italy
5Department of Neurosciences, University of Turin, 52 corso Massimo d'Azeglio, 10126 Turin, Italy

Tóm tắt

How and when did hominins move from the numerical cognition that we share with the rest of the animal world to number symbols? Objects with sequential markings have been used to store and retrieve numerical information since the beginning of the European Upper Palaeolithic (42 ka). An increase in the number of markings and complexity of coding is observed towards the end of this period. The application of new analytical techniques to a 44–42 ka old notched baboon fibula from Border Cave, South Africa, shows that notches were added to this bone at different times, suggesting that devices to store numerical information were in use before the Upper Palaeolithic. Analysis of a set of incisions on a 72–60 ka old hyena femur from the Les Pradelles Mousterian site, France, indicates, by comparison with markings produced by modern subjects under similar constraints, that the incisions on the Les Pradelles bone may have been produced to record, in a single session, homologous units of numerical information. This finding supports the view that numerical notations were in use among archaic hominins. Based on these findings, a testable five-stage scenario is proposed to establish how prehistoric cultures have moved from number sense to the use of number symbols.

This article is part of a discussion meeting issue ‘The origins of numerical abilities’.

Từ khóa


Tài liệu tham khảo

10.3819/ccbr.2010.50004

10.1073/pnas.1201893109

Agrillo C, 2014, Numerical and arithmetic abilities in non-primate species

10.1126/science.aaa1379

10.1007/s10071-015-0942-5

Dehaene D, 1997, The number sense: how the mind creates mathematics

Weber EH, 1834, De pulsu, resorptione, auditu et tactu: annotationes anatomicae et physiologicae

10.1016/0010-0277(92)90050-R

10.1038/2151519a0

10.1371/journal.pbio.0050328

10.1126/science.1213357

10.3758/BF03196206

10.1073/pnas.0806045105

10.1146/annurev.neuro.051508.135550

10.1038/nature07246

10.1163/000579511X568562

10.3758/BF03192916

10.1038/s41598-017-00548-3

10.1016/j.jhevol.2013.07.009

10.1073/pnas.1403659111

10.1126/science.178.4063.817

10.1017/S095977430000024X

10.1017/S095977430001502X

d'Errico F, 1998, Cognition and material culture: the archaeology of symbolic storage, 19

d'Errico F, 2002, In the mind’s eye, 33

10.1006/jasc.1994.1021

Overmann KA, 2014, Finger-counting in the Upper Palaeolithic, Rock Art Res., 31, 63

10.1016/j.quaint.2015.05.026

10.1086/317394

10.2307/2694247

10.1016/j.jaa.2005.08.001

10.1016/S0010-0277(98)00066-3

10.1371/journal.pone.0173435

Maureille B, 2010, Préhistoire entre Vienne et Charente. Hommes et sociétés du Paléolithique, 145

10.1016/j.yqres.2013.03.007

10.1016/j.quascirev.2011.06.009

Bourguignon L. 1997 Le Moustérien de type Quina: nouvelle définition d'une entité technique [The Quina Mousterian: New definition of a technological entity]. Doctoral thesis Université de Paris X. (In French.)

10.1016/j.jaa.2006.03.008

Meignen L, 2010, Préhistoire entre Vienne et Charente. Hommes et sociétés du Paléolithique Association des publications chauvinoises, 163

10.1002/ajpa.22557

Mussini C. Les restes humains moustériens des Pradelles (Marillac-le-Franc Charente France). Étude morphométrique et réflexions sur un aspect comportemental des Néandertaliens [Mousterian human remains from Les Pradelles (Marillac-le-Franc Charente France). Morphometric analysis and reflections on Neanderthal behaviour]. Doctoral thesis Université de Bordeaux 1. (In French.)

10.1073/pnas.1204213109

10.1016/j.jhevol.2016.01.002

10.1016/0305-4403(78)90052-3

10.1006/jhev.2001.0471

10.1016/S0047-2484(03)00102-7

10.1073/pnas.1202629109

Binford LR, 2014, Bones: ancient men and modern myths

10.1007/BF02228434

10.1017/CBO9781139878302

10.1201/b15424

Mélard N, 2010, L’étude microtopographique et la visualisation 3D dans l'analyse de gravures préhistoriques – l'exemple des pierres gravées de La Marche [Microtopography and 3D modeling for the analysis of prehistoric engravings - The example of the engraved slabs from La Marche], In Situ Rev. Patrim., 13

d'Errico F, 1991, Microscopic and statistical criteria for the identification of prehistoric systems of notation, Rock Art Res., 8, 83

d'Errico F, 1995, Image analysis and 3-D optical surface profiling of Upper Palaeolithic mobiliary art, Microsc. Anal., 51, 27

10.1093/molbev/msi244

10.1016/0047-2484(91)90034-S

Marshack A, 1972, The root of civilization: the cognitive beginnings of man’s first art, symbol and notations

10.3998/jar.0521004.0069.307

10.1038/nature13962

Majkić A, 2017, Sequential incisions on a cave bear bone from the Middle Paleolithic of Pešturina Cave, Serbia, J. Archaeol Method Theory, 1

Mania D, 1988, Deliberate engravings on bone artefacts of Homo erectus, Rock Art Res., 5, 91

10.1007/s11434-012-5317-6

10.1006/jhev.1997.0141

Fischer MH, 2005, Handbook of mathematical cognition, 43

10.1371/journal.pone.0096412

10.1111/cdep.12179

10.1016/j.jhevol.2004.09.004

Domínguez-Rodrigo M, 2016, 3.3-million-year-old stone tools and butchery traces? More evidence needed, PaleoAnthropology, 2016, 46

10.1371/journal.pone.0062174