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On Structures and Wholes

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Mathematical Structures of Natural Intelligence

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

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Abstract

Structures are wholes different from the sum of their parts. In this chapter, I elaborate this point through the language of category theory.

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Notes

  1. 1.

    I thank Mario Alemi for this example.

References

  • Alexander, C. (1980/2002). The nature of order: The process of creating life. Berkeley, CA: Center for Environmental Structure.

    Google Scholar 

  • Assaf, D., Cohen, Y., Danesi, M., & Neuman, Y. (2015). Opposition theory and computational semiotics. Σημειωτκή: Sign Systems Studies, 43(2–3), 159–172.

    Google Scholar 

  • Danesi, M. (2003). Metaphorical “networks” and verbal communication: A semiotic perspective of human discourse. Σημειωτκή: Sign Systems Studies, 31(2), 341–363.

    Google Scholar 

  • Harries-Jones, P. (1995). A recursive vision: Ecological understanding and Gregory Bateson. Toronto, ON: Toronto University Press.

    Google Scholar 

  • Hoey, M. (1991). Patterns of lexis in text. Oxford, UK: Oxford University Press.

    Google Scholar 

  • Lawvere, F. W., & Schanuel, S. H. (2000). Conceptual mathematics. Cambridge, UK: Cambridge University Press.

    MATH  Google Scholar 

  • Nicod, J. (1930/1950). Foundations of geometry and induction. London, UK: Routledge and Kegan Paul.

    Google Scholar 

  • Schleiermacher, F. (1999). In M. Frank (Ed.), Hermeneutik und Kritik (7th ed.). Frankfurt am Main, Germany: Suhrkamp.

    Google Scholar 

  • Von Neumann, J. (1956). Probabilistic logics and the synthesis of reliable organisms from unreliable components. Automata Studies, 34, 43–98.

    MathSciNet  Google Scholar 

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Neuman, Y. (2017). On Structures and Wholes. In: Mathematical Structures of Natural Intelligence. Mathematics in Mind. Springer, Cham. https://doi.org/10.1007/978-3-319-68246-4_11

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