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Let’s Talk About Nothing: Numbers and Their Origin

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Mathematical Structures of Natural Intelligence

Part of the book series: Mathematics in Mind ((MATHMIN))

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Abstract

This chapter explains how the number system emerges through self-differentiation and through the formalism of a well-pointed category why is it so difficult to understand the meaning of zero.

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References

  • Agrillo, C., Piffer, L., Bisazza, A., & Butterworth, B. (2012). Evidence for two numerical systems that are similar in humans and guppies. PloS One, 7(2), e31923.

    Article  Google Scholar 

  • Chittka, L., & Geiger, K. (1995). Can honey bees count landmarks? Animal Behaviour, 49(1), 159–164.

    Article  Google Scholar 

  • Christie, S., Gentner, D., Call, J., & Haun, D. B. M. (2016). Sensitivity to relational similarity and object similarity in apes and children. Current Biology, 26(4), 531–535.

    Article  Google Scholar 

  • Gebuis, T., Kadosh, R. C., & Gevers, W. (2016). Sensory-integration system rather than approximate number system underlies numerosity processing: A critical review. Acta Psychologica, 171, 17–35.

    Article  Google Scholar 

  • Luria, A. R., & Vygotsky, L. S. (1992). Ape, primitive man and child: Essays in the history of behavior. Orlando, FL: Paul M. Deutsch Press.

    Google Scholar 

  • Macpherson, K., & Roberts, W. A. (2013). Can dogs count? Learning and Motivation, 44(4), 241–251.

    Article  Google Scholar 

  • Nieder, A. (2016). Representing something out of nothing: The dawning of zero. Trends in Cognitive Sciences, 20(11), 830–842.

    Article  Google Scholar 

  • Russell, B. (1919/1993). Introduction to mathematical philosophy. London, UK: Routledge.

    Google Scholar 

  • Wasserman, E. A. (2016). Thinking abstractly like a duck(ling). Science, 353(6296), 222–223.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. The Department of Brain and Cognitive Sciences and the Zlotowski Center for Neuroscience, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Yair Neuman

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  1. Yair Neuman
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Neuman, Y. (2017). Let’s Talk About Nothing: Numbers and Their Origin. In: Mathematical Structures of Natural Intelligence. Mathematics in Mind. Springer, Cham. https://doi.org/10.1007/978-3-319-68246-4_12

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