• Mario GrazianoEmail author
Part of the SpringerBriefs in Philosophy book series (BRIEFSPHILOSOPH)


Using numbers to trade, classify, and sort goods and items may seem an easy, convenient, and almost ordinary task. This fact in itself could seem surprising, since numbers are—as Adam Smith famously said,—“among the most abstract ideas which the human mind is capable of forming”. If it were to be true, then, using numbers would require a long and difficult training. Nevertheless, anyone can count and perform simple arithmetic calculations.


  1. Dehaene, S. (1997). The number sense. How the mind creates mathematics. New York, Cambridge (UK): Oxford University Press, Penguin Press.Google Scholar
  2. Hersh, R. (1997). What is mathematics, really?. New York: Oxford University Press.Google Scholar
  3. Mac Lane, S. (1981). Mathematical models: A sketch for the philosophy of mathematics. The American Mathematical Monthly, 88(7), 462–472.CrossRefGoogle Scholar
  4. Piaget, J. (1952). The child’s conception of number. New York: Norton.Google Scholar
  5. Wynn, K. (1990). Children’s understanding of counting. Cognition, 36, 155–193.CrossRefGoogle Scholar
  6. Xu, F., & Carey, S. (1996). Infants’ concept of numerical identity. Cognitive Psychology, 30, 111–153.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Cognitive SciencesUniversity of MessinaMessinaItaly

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