Encyclopedia of Animal Cognition and Behavior

Living Edition
| Editors: Jennifer Vonk, Todd Shackelford

Subtraction

Living reference work entry
DOI: https://doi.org/10.1007/978-3-319-47829-6_1490-1

Definition

Performing subtractions requires the capability to estimate the resulting difference between a first number, or quantity, minus a second one.

Introduction

In the field of animal numerical cognition, the capability to master subtraction is considered a complex numerical capacity, because it requires a manipulation of at least two numerical representations to produce a new representation (Vallortigara et al. 2010). The capability to subtract, together with the capability to perform additions, is the only arithmetic ability which has been proved in animals.

Arithmetic has been mainly investigated in animals for what concerns physical sets of objects. Animals’ arithmetic abilities differ from humans’ abstract arithmetic calculations. The latter are based on a complex system of symbols which refers to numbers and operation that can be performed on numbers, for example, 45–27 = 18. Hence, these can be defined symbolic-numerical abilities. Nonsymbolic numbers refer to the...

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References

  1. Brannon, E. M., & Roitman, J. D. (2003). Nonverbal representations of time and number in animals and human infants. In Functional and neural mechanism of interval timing (pp. 143–182). Boca Raton: CRC Press.Google Scholar
  2. Dehaene, S. (2011). The number sense: How the mind creates mathematics. New York: Oxford University Press.Google Scholar
  3. Garland, A., & Low, J. (2014). Addition and subtraction in wild New Zealand robins. Behavioural Processes, 109, 103–110.CrossRefGoogle Scholar
  4. Krebs, J. R. (1974). Colonial nesting and social feeding as strategies for exploiting food resources in the great blue heron (Ardea herodias). Behaviour, 5, 99–130.CrossRefGoogle Scholar
  5. Pfungst, O. (1907). Das Pferd von Herrn Osten. Leipzig, reprinted 1977 as: Der kluge Hans. Ein Beitrag zur nicht-verbalen Kommunikation. Fachbuchhandlung für Psychologie. Frankfurt am Main.Google Scholar
  6. Rugani, R., Regolin, L., & Vallortigara, G. (2007). Rudimental competence in 5-day-old domestic chicks (Gallus gallus): Identification of ordinal position. Journal of Experimental Psychology: Animal Behavior Processes, 33(1), 21–31.PubMedGoogle Scholar
  7. Rugani, R., Fontanari, L., Simoni, E., Regolin, L., & Vallortigara, G. (2009). Arithmetic in newborn chicks. Proceedings of the Royal Society B, 276, 2451–2460.CrossRefGoogle Scholar
  8. Rugani, R., Regolin, L., & Vallortigara, G. (2010). Imprinted numbers: Newborn chicks’ sensitivity to number vs. continuous extent of objects they have been reared with. Developmental Science, 13(5), 790–797.CrossRefGoogle Scholar
  9. Sulkowski, G. M., & Hauser, M. D. (2001). Can rhesus monkeys spontaneously subctract? Cognition, 79, 239–261.CrossRefGoogle Scholar
  10. Vallortigara, G., Chiandetti, C., Sovrano, V. A., Rugani, R., & Regolin, L. (2010). Animal cognition. Wiley Interdisciplinary Review Cognitive Sciences, 1, 882–893.CrossRefGoogle Scholar
  11. Wynn, K. (1992). Addition and subtraction by human infants. Nature, 27, 749–750.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of PaduaPaduaItaly

Section editors and affiliations

  • Dawson Clary
    • 1
  1. 1.University of ManitobaWinnipegCanada