Numerical Abstraction in Prehistory. A View from Cognitive Archeology = Abstracción numérica en la Prehistoria. Una visión desde la arqueología cognitiva

Ángel Rivera Arrizabalaga

Resumen


This paper attempts to analyse the origin of numerical abstraction. In his study, a Psychobiological and Social Model (Functional Structuralism) has been used on our cognitive evolution, and causal cognition processes as the main drivers of cognitive and behavioural development. The process takes place over a long historical period, because although it seems that there are antecedents at the end of the Middle Palaeolithic, its main development begins with the beginning of the Upper Palaeolithic, where archaeologically an advanced development of causal cognition related to measurement behaviours is observed. Its subsequent evolution to counting and numbering behaviours would depend on the social, technological and emotional development of Neolithic and Bronze Age societies.

Resumen
En este trabajo se intenta analizar el origen de la abstracción numérica. En su estudio se ha utilizado un Modelo Psicobiológico y Social (Estructuralismo funcional) sobre nuestra evolución cognitiva y los procesos de cognición causal como motores principales del desarrollo cognitivo y conductual. El proceso se realiza en un amplio periodo histórico, pues aunque parece que existen antecedentes a finales del Paleolítico medio, su principal desarrollo comienza con el inicio del Paleolítico superior, donde arqueológicamente se constata un avanzado desarrollo del cognición causal relacionado con conductas de medición. Su posterior evolución a conductas de contaje y numeración dependería del desarrollo social, tecnológico y emocional de las sociedades del Neolítico y la Edad del Bronce.

Palabras clave


Measure; Count; Numerical abstraction; Psychobiological and Social Model; Causal cognition = Medir; Contar; Abstracción numérica; Modelo Psicobiológico y Social; Cognición causal

Texto completo:

PDF (English)

Referencias


AMALRIC, M., and DEHAENE, S. 2016: “Origins of the brain networks for advanced mathematics in expert mathematicians”. Proceedings of the National Academy of Sciences of the United States of America, 113 (18), 4909-4917. doi: https://doi.org/10.1073/pnas.1603205113

ARDILA, A. and ROSSELLI, M. 2002. “Acalculia and dyscalculia”. Neuropsychology Review, 12: 176–232. doi: 10.1023 / A: 1021343508573

ARDILA, A. and OSTROSKY-SOLÍS, F. 2008. “Desarrollo histórico de las Funciones Ejecutivas”. Revista Neuropsicología, Neuropsiquiatría y Neurociencias, 8 (1) 1-21. doi: https://dialnet.unirioja.es/servlet/articulo?codigo=3987433

BARANDIARÁN, I. 2006. Imágenes y adornos en el arte portátil paleolítico. Barcelona. Ariel.

BATESON, P. 2004. “The Active Role of Behavior in Evolution”. Biology and Philosophy 19: 283-298.

doi: https://link.springer.com/article/10.1023/B%3ABIPH.0000024468.12161.83

BEDNARIK, R. G. 2013. “The Pleistocene Art of Asia”. Arts, 2, 46-76.

doi: https://doi.org/10.3390/arts2020046

BELINCHÓN, M., IGOA, J. M. and RIVIÉRE, A. 1992. Psicología del lenguaje. Investigación y teoría. Madrid. Trotta.

BENDER, A. and BELLER, S. 2019. “The Cultural Fabric of Human Causal Cognition”. Perspectives on Psychological Science, Vol. 14(6) 922–940

BENDER, A. 2020. “What Is Causal Cognition?” Frontiers in Psychology 11.

BICKERTON, D. 2009. Adam´s Tongue: How Humans Made Language, How Language Made Humans. New York. Hill and Wang.

BOOTH, J. L. and SIEGLER, R. S. 2006. “Developmental and individual differences in pure numerical estimation”. Developmental Psychology, 42(6):189–201.

doi: 10.1037 / 0012-1649.41.6.189

BOTHA, R. 2010. “On the soundness of inferring modern language from symbolic behaviour”. Camb. Archaeol. J. 20, 345–356.

doi: https://doi.org/10.1017/S0959774310000454

BRANNON, E. M. (2005). “The independence of language and mathematical reasoning”. PNAS, 102(9):3177–3178.

doi: https://doi.org/10.1073/pnas.0500328102

BROOKS, N. B., BARNER, D., FRANK, M. C. and GOLDIN-MEADOW, S. 2014. “Abacus: Gesture in the mind, not the hands”. In P. Bello, M. Guarini, M. McShane, and B. Scassellati (eds.), Proceedings of the Cognitive Science Society, Vol. 36, pp. 72– 73. Austin, TX, USA: Cognitive Science Society.

BRUNER, E.; PREUSS, T. M.; CHEN, X, and RILLING, J. K. 2017. “Evidence for expansion of the precuneus in human Evolution”. Brain Structure and Function. Vol. 222, (2): 1053-1060.

BRUNER, E., SPINAPOLICE, E., BURKE, A. and OVERMANN, K.A. 2018. “Visuospatial integration: Paleoanthropological and archaeological perspectives”. In di Paolo, L.D., di Vincenzo, F., and de Petrillo, F. (eds), The evolution of primate social cognition (pp. 299-326). Cham, Switzerland: Springer.

BRUNER, J. 1984. Acción, pensamiento y lenguaje. Madrid. Alianza.

BUTTERWORTH, B. (1999). The mathematical brain. London. Macmillan Publishers.

CANTHLON, J. F., BRANNON, E. M., CARTER, E. J. and PELPHREY, K. A. 2006. “Functional imaging of numerical processing in adults and 4-y old children”. PLOS Biology 4 (5), 844-854. doi: https://doi.org/10.1371/journal.pbio.0040125

CAREY, S. 2009. The origin of concepts. Oxford. Oxford University Press.

CARREIRAS, M., MONAHAN, P. J., LIZARAZU, M., DUÑABEITIA, J. A., and MOLINERO, N. 2015. “Numbers are not like words: Different pathways for literacy and numeracy”. NeuroImage, 118, 79-89. doi: 10.1016 / j.neuroimage.2015.06.021

CLARK, A. 2006. “Language, embodiment, and the cognitive niche”. Trends in Cognitive Sciences, 10 (8), 370-374. doi: https://doi.org/10.1016/j.tics.2006.06.012

CHRISOMALIS, S. 2005. Evaluating Ancient Numeracy: Social versus Developmental Perspectives on Ancient Mesopotamian Numeration. Paper delivered to the Annual Meeting of the Jean Piaget Society (Vancouver, British Columbia).

CHRISTIE, S., and GENTNER, D. 2007. “Relational similarity in identity relation: The role of language”. In S. Vosniadou, D. Kayser, and A. Protopapas (eds.). Proceedings of the 2nd European Cognitive Science conference (pp. 402–406). New York, NY, USA: Lawrence Erlbaum Associates.

COLAGÈ, I. and D’ERRICO, F. 2018. “Culture: The Driving Force of Human Cognition”. Topics in Cognitive Science, 1–19. In Bender, A., Beller, S.and Jordan, F. (Topic Editors). The Cultural Evolution of Cognition. For a full listing of topic papers.

doi: http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1756-8765/earlyview

COOLIDGE, F. L. and OVERMANN, K. A. 2012. “Numerosity, Abstraction, and the Emergence of Symbolic Thinking”. Current Anthropology, 53(2), 204-225.

doi: 10.1089/664818

DAMASIO, A. 2010. Self Comes to Mind: Constructing the Conscious Brain. New York. Pantheon Books.

DAMEROW, P. 1996. “Number as a Second-Order Concept”. Science in Context 9, 139-149.

DEHAENE, S. 1997. The Number Sense. Oxford University Press.

DEHAENE, S., IZARD, V., SPELKE, E. and PICA, P. 2008.”Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures”. Science 320 (5880):1217–1220. doi: 10.1126 / science.1156540

D´ERRICO, F., DOYON, L., COLAGÈ, I., QUEFFELEC, A., LE VRAUX, E., GIACOBINI, G., VANDERMEERSCH, B. and MAUREILLE, B. 2017. “From number sense to number symbols. An archaeological perspective”. Philos Trans R Soc Lond B Biol Sci. 19; 373(1740). . doi: 10.1098/rstb.2016.0518

EDELMAN, G. M. and TONONI, G. 2000. A Universe of Consciousness. New York. Basic Books.

EPPS, P., BOWERIN, C., HANSEN, C. A., HILL, J. H. and ZENTZ, J. 2012. “On numeral complexity in hunter-gatherer languages”. Linguistic Typology, 16(1), 41–109.

EVERETT, D. E. 2005. “Cultural Constraints on Grammar and Cognition in Pirahã”. Current Anthropology, Volume 46 (4). doi: https://doi.org/10.1515/lity-2012-0002

FERRARI, P. L. 2003. “Abstraction in mathematic”. Phil. Trans. R. Soc. Lond. B. 358, 1225–1230. doi: 10.1098 / rstb.2003.1316

FLEGG. G. 1983. Numbers: Their History and Meaning. New York: Dover Publications.

FLORIO, M., ALBERT, M., TAVERNA, E., NAMBA, T., BRANDL, H., LEWITUS, E., …HUTTNER W. B. 2015. “Human-specific gene ARHGAP11B promotes basal progenitor amplification and neocortex expansion”. Science, 347 (6229): 1465-1470. doi: 10.1126 / science.aaa1975

FRANK, M. C. and BARNER, D. 2012. “Representing exact number visually using mental abacus”. Journal of Experimental Psychology: General, 141(1), 134-149.

doi: http://dx.doi.org/10.1037/a0024427

FREGE, G. 1953. The foundations of arithmetic: A logical-mathematical investigation into the concept of number (J. L. Austin, Trans., 2nd rev.). New York, NY, USA: Harper and Brothers.

FRIBERG, J. 1994. “Preliterate Counting and Accounting in the Middle East: A Constructively Critical Review of Schmandt-Besserat’s Before Writing”. OLZ 89, 477-489.

FRIBERG, J. 2007. A Remarkable Collection of Babylonian Mathematical Texts. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer Science+Business Media, LL.

FROLOV, B. A. 1974. Numbers in Paleolithic graphic. Russian. Novosibirsk. Nauka.

GÄRDENFORS, P. and LOMBARD, M. 2018. “Hypothesis and Theory Causal Cognition, Force Dynamics and Early Hunting Technologies”. Frontiers in Psychology, vol. 9, nº 87. doi: https://doi.org/10.3389/fpsyg.2018.00087

GONZÁLEZ REDONDO, F. A. and SILVÁN POBES, E. 2004. “Pensamiento simbólico y Matemática en el Paleolítico Superior”. Boletín de la Sociedad Puig Adam; 68: 78-93. doi: http://scielo.isciii.es/pdf/dyn/v30/07.pdf

GONZÁLEZ REDONDO, F. A., MARTÍN-LOECHES, M. and SILVÁN PPBES, E. 2010. “Prehistoria de la matemática y mente moderna: pensamiento matemático y recursividad en el Paleolítico franco-cantábrico”. Dynamis. 30: 167-195.

doi: https://www.raco.cat/index.php/Dynamis/article/view/218639

HAIDLE, M. N. 2014. “Building a bridge-an archeologist's perspective on the evolution of causal cognition”. Front. Psychol. 5:1472. doi org/10.3389/fpsyg.2015.01472

HØYRUP, J. 1994. Measure, Number, and Weight: Studies in Mathematics and Culture. SUNY Series in Science, Technology, and Society. Albany, NY: State University of New York Press

HØYRUP, J. 2002. “A Note on Old Babylonian Computational Techniques”. Historia Mathematica 29, 193-198. doi: https://doi.org/10.1006/hmat.2002.2343

HURFORD, J. 1987. Language and number: the emergence of a cognitive system. Oxford. Blackwell.

HUTCHINS, E. 2005. “Material anchors for conceptual blend”. Journal of Pragmatics 37: 1555-1577. https://doi.org/10.1016/j.pragma.2004.06.008

IFRAH, G. 1997. Historia universal de las cifras. Madrid. Espasa.

LALAND, K. N. 2017. Darwin's Unfinished Symphony: How Culture Made the Human Mind. Princeton, NJ: Princeton University Press.

LEROI-GOURHAN, A. 1967. «Les mains de Gargas: essai pour une étude d'ensemble». Bulletin de la Société Préhistorique Française 64 (1), 107-122.

doi: https://www.persee.fr/doc/bspf_0249-7638_1967_hos_64_1_4105

LÉVI-STRAUSS, C. 1962. La Pensée sauvage. Paris, Plon-Julliard.

LOMBARD, M. and GÄRDENFORS, P. 2017. “Tracking the evolution of causal cognition in humans”. Journal of Anthropological Sciences. 95, 1-16.

doi: http://www.isita-org.com/jass/Contents/2017vol95/Lombard/28489015.pdf

LOTEM, A., HALPERN, J. Y., EDELMAN, S. and KOLODNY, O. 2017. “The evolution of cognitive mechanisms in response to cultural innovations”. PNAS | vol. 114 | no. 30 | 7915–7922. doi: https://doi.org/10.1073/pnas.1620742114

LURIA, A. and YUDOVICH, F. 1972. Speech and the development of mental processes in the child. Harmondsworth, UK. Penguin Books.

MACGINNIS, J., MONROE, M. W., WICKE, D. and MATNEY, T. 2015. “Artefacts of cognition: the use of clay tokens in a Neo-Assyrian provincial administration”. Cambridge Archaeological Journal 24 (2), 289-306.

doi: 10.1017/S0959774314000432

MACIZO, P., COLOMÉ, A., GARCÍA-ORZA, and HERRERA, A. 2016. “Cognición numérica”. In: Bajo Molina, T., Fuentes Melero, L. J., Lupiañez Castillo, J. and Rueda Cuerva, CH. (eds.). Mente y cerebro. De la Psicología experimental a la Neurociencia cognitiva. Madrid. Alianza.

MALAFOURIS, L. 2010. “Grasping the concept of number: how did the sapient mind move beyond approximation?” In: Renfrew, C., Morley, I. (eds.). The Archaeology of Measurement: Comprehending Heaven, Earth and Time in Ancient Societies. Cambridge. Cambridge University Press, pp. 35-42.

MALAFOURIS, L. 2013. How Things Shape the Mind: a Theory of Material Engagement. Cambridge: MIT Press. Cambridge.

MARSHACK, A. 1991. The roots of civilization. New York. Weidenfeld and Nicolson.

MATTESICH, R. 2000. The beginnings of accounting and accounting thought. Garland Pub., New York.

MCCLELLAND, J. L.; BOTVINICK, M. M.; NOELLE, D. C.; PlAUT, D. C.; ROGERS, T. T.; SEIDENBERG, M. S. and SMITH, L. B. 2010. “Letting structure emerge: connectionist and dynamical systems approaches to cognition”. Trends Cogn. Sci. 14, 348– 356. doi:10.1016/j.tics.2010.06.002

MERCIER, N. 2000. Words and Minds. How we use language to think together. London. Routledge 11 New Fetter Lane.

MOORE, A. M. T. 2000. “Stone and other artifacts”. In A. M. T. Moore, G. C. Hillman, and A. J. Legge (eds.), Village on the Euphrates: From foraging to farming at Abu Hureyra (pp. 165–186). Oxford, United Kingdom: Oxford University Press

MUTHUKRISHANA, M., DOEBELI, M., CHUDEK, M. and HENRICH, J. 2018. “The Cultural Brain Hypothesis: How culture drives brain expansion, sociality, and life history”. PLoS Computational Biology 14(11):e1006504.

doi: https://doi.org/10.1371/journal.pcbi.1006504

NIEDER, A. and DEHAENE, S. 2009. “Representation of number in the brain”. Annual Review of Neuroscience 32: 185-208. doi: 10.1146 / annurev.neuro.051508.135550

NISSEN, H. J., DAMEROW, P. and ENGLUND, R. K. 1993. Archaic bookkeeping: Early writing and techniques of economic administration in the ancient Near East (P. Larsen, Trans.). Chicago, IL, USA: University of Chicago Press.

ORBAN, G. A., CLAEYS, K., NELISSEN, K., SMANS, R., SUNAERT, S., TODD, J. T., . . . VANDUFFEL, W. 2006. “Mapping the parietal cortex of human and non-human primates”. Neuropsychologia, 44(13), 2647-2667.

doi: https://doi.org/10.1016/j.neuropsychologia.2005.11.001

OVERMANN, K. A. 2016. “The role of materiality in numerical Cognition”. Quaternary International, 405: 42-51. doi: 10.1016 / j.quaint.2015.05.026

OVERMANN, K. A. 2018a. “Constructing a Concept of Number”. Journal of Numerical Cognition. Vol. 4, núm. 2, 464-493.

doi: https://jnc.psychopen.eu/article/view/161/pdf

OVERMANN, K. A. 2018b. “Updating the Abstract-Concrete Distinction in Ancient Near Eastern Numbers”. Cuneiform Digital Library Journal. 001 ISSN 1540-8779.

doi: https://cdli.ucla.edu/pubs/cdlj/2018/cdlj2018_001.html

PENN, D. C. and POVINELLI, D. J. 2007. “Causal Cognition in Human and Nonhuman Animals: A Comparative, Critical Review”. Annu Rev Psychol 58: 97-118.

doi: 10.1146 / annurev.psych.58.110405.085555

PENNER-WILGER, M., FAST, L., LEFEVRE, J.-A., SMITH-CHANT, B. L., SKWRCHUK, S.-L., KAMAWAR, D. and BISANZ, J. 2007. “The foundations of numeracy: Subitizing, finger gnosia, and fine motor ability”. In D. S. McNamara and J. G. Trafton (Eds.), Proceedings of the Cognitive Science Society (Vol. 29, pp. 1385–1390). Austin, TX, USA: Cognitive Science Society.

REESE, D. S. 2002. “On the Incised Cattle Scapulae from the East Mediterranean and Near East”. Bonner Zoologische Beitrage 50, 183-198.

REEVE, R., and HUMBERSTONE, J. 2011. “Five- to 7-year-olds’ finger gnosia and calculation abilities”. Frontiers in Psychology, 2, Article 359.

doi: 10.3389 / fpsyg.2011.00359

REIPS, U. D. and WALDMANN, M. R. 2008. “When Learning Order Affects Sensitivity to Base Rates Challenges for Theories of Causal Learning”. Experimental Psychology; Vol. 55(1):9–22. DOI 10.1027/1618-3169.55.1.9

RILLING, J. K., GLASSER, M. F., PREUSS, T. M., MA, X., ZHAO, T., HU, X. and BEHRENS, T. E. 2008. “The evolution of the arcuate fasciculus revealed with comparative DTI”. Nature Neuroscience, 11 (4), 426-428. doi: 10.1038 / nn2072

RIVERA, A. 2015. Arqueología de las emociones. Vínculos de Historia, 4, 41-61.

http://www.vinculosdehistoria.com/index.php/vinculos/article/view/149/144

RIVERA, A. and MENÉNDEZ, M. 2011. “Las conductas simbólicas en el Paleolítico. Un intento de comprensión y análisis desde el estructuralismo funcional”. Espacio, Tiempo y Forma, Nueva temporada, 4.

http://revistas.uned.es/index.php/ETFI/article/view/10739/10277

RIVERA, A. and RIVERA, S. 2017. “Estudio transdisciplinario de la autoconciencia”. Ludus Vitalis, 25 (48), 155-180.

http://www.ludus-vitalis.org/ojs/index.php/ludus/article/view/757/763

RIVERA, A. and RIVERA, S. 2019. “Mechanisms of cognitive evolution of the Homo genus”. Ludus Vitalis, 27 (51), 1-22.

http://www.ludus-vitalis.org/ojs/index.php/ludus/article/view/840

ROBSON, E. 2007. “Mesopotamian Mathematics”. In V. Katz, ed., The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook. Princeton, NJ: Princeton University Press, pp. 57-186.

ROEPSTORFF, A. 2008. “Things to think with: Words and objects as material symbols”. Philosophical Transactions of the Royal Society of London: Series B. Biological Sciences, 363(1499), 2049-2054. doi: https://doi.org/10.1098/rstb.2008.0015

RUSSELL, B. 1920. Introduction to Mathematical Philosophy, 2nda edition. London: George Allen and Unwin, Ltd.

SÁNCHEZ-CUBILLO, I., TIRAPU USTÁRROZ, J. and ADROVER-ROIG, D. 2012. “Neuropsicología de la cognición social y la autoconciencia”. In Neuropsicología del córtex prefrontal y funciones ejecutivas. J. Tirapu Ustárroz, M. Ríos-Lago, A. García Molina, and A. Ardila, (eds). Barcelona. Viguera, 353-390.

SEARLE, J. R. (1997). The mystery of consciousness. The New York Review of Books. New York.

SEYFARTH, R. M. and ChENEY, D. L. 2013. “Afiliación, empatía y los orígenes de la teoría de la mente”. Ludus Vitalis. 25 (40), 29-51.

doi: http://www.ludus-vitalis.org/ojs/index.php/ludus/article/view/46

SCHMANDT-BESSERAT, D. 1986. “The Origins of Writing: An Archaeologist’s Perspective”. Written Communication 3, 31-45.

doi: https://doi.org/10.1177/0741088386003001003

SCHMANDT-BESSERAT, D. 1992. Before Writing: from Counting to Cuneiform, vols. 2 Austin.University of Texas Press.

SCHMANDT-BESSERAT, D. 2010. “The Token System of the Ancient Near East: Its Role in Counting, Writing, the Economy and Cognition”. In C. Renfrew and I. Morley, eds., The Archaeology of Measurement: Comprehending Heaven, Earth and Time in Ancient Societies. Cambridge: Cambridge University Press, pp. 27-34.

SPORNS, O. 2011. Networks of the Brain. London. The MIT Press Cambridge. Massachusetts.

STUART-FOX, M. 2015. “The origins of causal cognition in early hominins”. Biology and Philosophy 30 (2), 247-266. doi: 10.1007 / s10539-014-9462-y

SUZUKI, I. K., GACQUER, D., VAN HEURCK, R., KUMAR, D., WOJNO, M., BILHEU, A. ,… VANDERHAEGHEN, P. 2018. “Human-Specific NOTCH2NL Genes Expand Cortical Neurogenesis through Delta/Notch Regulation”. Cell. 173 (6), 1370–1384.

doi: 10.1016 / j.cell.2018.03.067

TANG, Y., ZHANG, K., CHEN, S., FENG, Y., JI, J., SHEN, E., REIMAN, E.M. and LIU Y. 2006. “Arithmetic processing in the brain shaped by cultures”. PNAS, 103:10775–10780. doi: https://doi.org/10.1073/pnas.0604416103

TENENBAUM, J. B. and NIYOGI, S. 2003. Learning causal laws. Proceedings of the Twenty-Fifth Annual Conference of the Cognitive Science Society. American Psychological Association.

TOMASELLO, M. 1999. The Cultural Origins of Human Cognition. Harvard University Press.

TOMASELLO, M. and CALL. J. 1997. Primate Cognition. Oxford. Oxford University Press.

VANHAEREN, M., D'ERRICO, F., VAN NIEKERK, K. L., HENHILWOOD, C. S. and ERASMUS, R. M. 2013. “Thinking strings: additional evidence for personal ornament use in the Middle Stone Age at Blombos Cave, South Africa”. Journal of Human Evolution 64 (6), 500-517. doi: 10.1016 / j.jhevol.2013.02.001

VARLEY, R. A., KLESSINGER, N. J. C., ROMANOWKI, CH. A. J. and SIEGAL, M. 2005. “Agrammatic but numerate”. PNAS. 102 (9):3519–3524.

doi: https://doi.org/10.1073/pnas.0407470102

VYGOTSKY, L. S. (1934/1978). Mind in Society. Cambridge, MA: Harvard University Press.

WADDINGTON, C. H. 1941. “Canalization of development and the inheritance of acquired characteristics”. Nature 150: 563-565.

doi: https://www.nature.com/articles/150563a0

WADLEY, L. 2013. “Recognizing complex cognition through innovative technology in Stone Age and Palaeolithic Sites”. Camb. Archaeol. J. 23, 163–183

doi: https://doi.org/10.1017/S0959774313000309

WIESE, H. 2007. “The co-evolution of number concepts and counting words”. Lingua 117, (5): 758-772. doi: https://doi.org/10.1016/j.lingua.2006.03.001

WYNN, T. 2009. “Hafted spears and the archaeology of mind”. Proc. Natl. Acad. Sci. U.S.A. 106, 9544–9545. doi: https://doi.org/10.1073/pnas.0904369106

ZAMARIAN, L., ISCHEBECK, A. and DELAZER, M. 2009. “Neuroscience of learning arithmetic: evidence from brain imaging studies”. Neuroscience and Biobehavioral Reviews 33 (6):909–925. doi: 10.1016 / j.neubiorev.2009.03.005

ZORZI, M. and TESTOLOIN, A. 2017. “An emergentist perspective on the origin of number sense”. Phil. Trans. R. Soc. B 373: 20170043.

doi: https://doi.org/10.1098/rstb.2017.0043




DOI: https://doi.org/10.5944/etfi.13.2020.27438

Enlaces refback

  • No hay ningún enlace refback.


Copyright (c) 2020 Ángel Rivera Arrizabalaga

URL de la licencia: http://creativecommons.org/licenses/by-nc/4.0/

Revistas Espacio, Tiempo y Forma. Series I-VII
Espacio, Tiempo y Forma, Serie I, Prehistoria y Arqueología (ISSN: 1131-7698; eISSN: 2340-1354)
Facultad de Geografía e Historia. UNED 
Calle Senda del Rey, 7
28040 - MADRID (España) 
Teléfonos: +34 91.398.67.13 / 67.03 
E-mail: revista-etf@geo.uned.es

Licencia de Creative Commons
Este obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial 4.0 Internacional.