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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 251))

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Abstract

In this chapter, as in Chap. 7, the challenge of exploring plausible reified network models of order higher than two is addressed. This time another less usual option for application was addressed: the notion of Strange Loop which from a philosophical perspective sometimes is claimed to be at the basis of human intelligence and consciousness. This notion will be illustrated by examples from music, graphic art and paradoxes, and by Hofstadter’s claims about how Strange Loops apply to the brain. A reified adaptive network model of order higher than 2 was found, that even can be considered as being of infinite order. An example simulation shows the upward and downward interactions between the different levels, together with the processes within the levels. Another example addresses adaptive decision making according to two levels that are mutually reifying each other, as in Escher’s Drawing Hands lithograph.

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References

  • Davis, R.: Meta-rules: reasoning about control. Artif. Intell. 15, 179–222 (1980)

    Article  Google Scholar 

  • Davis, R., Buchanan, B.G.: Meta-level knowledge: overview and applications. In: Proceedings of 5th IJCAI, pp. 920–927 (1977)

    Google Scholar 

  • Escher, M.C.: Drawing hands (1948)

    Google Scholar 

  • Escher, M.C.: Print gallery (1956)

    Google Scholar 

  • Escher, M.C.: Ascending and Descending (1960)

    Google Scholar 

  • Fessler, D.M.T., Clark, J.A., Clint, E.K.: Evolutionary psychology and evolutionary anthropology. In: Buss, D.M. (ed.) The Handbook of Evolutionary Psychology, pp. 1029–1046, Wiley and Sons (2015)

    Google Scholar 

  • Fessler, D.M.T., Eng, S.J., Navarrete, C.D.: Elevated disgust sensitivity in the first trimester of pregnancy: evidence supporting the compensatory prophylaxis hypothesis. Evol. Hum. Behav. 26(4), 344–351 (2005)

    Article  Google Scholar 

  • Fleischman, D.S., Fessler, D.M.T.: Progesterone’s effects on the psychology of disease avoidance: support for the compensatory behavioral prophylaxis hypothesis. Horm. Behav. 59(2), 271–275 (2011)

    Article  Google Scholar 

  • Galton, A.: Operators vs. arguments: the ins and outs of reification. Synthese 150, 415–441 (2006)

    Article  MathSciNet  Google Scholar 

  • Gannon, T.: Strange loops: toward an aesthetics for the anthropocene. J. Arch. Educ. 71(2), 142–145 (2017)

    Google Scholar 

  • Hendlin, Y.H.: I am a fake loop: the effects of advertising-based artificial selection. Biosemiotics 12(1), 131–156 (2019)

    Article  Google Scholar 

  • Hofstadter, D.R.: Gödel, Escher, Bach. Basic Books, New York (1979)

    MATH  Google Scholar 

  • Hofstadter, D.R.: What is it like to be a strange loop? In: Kriegel, U., Williford, K. (eds.) Self-Representational Approaches to Consciousness. MIT Press, Cambridge (2006)

    Google Scholar 

  • Hofstadter, D.R.: I Am a Strange Loop. Basic Books, New York (2007)

    Google Scholar 

  • Jones, B.C., Perrett, D.I., Little, A.C., Boothroyd, L., Cornwell, R.E., Feinberg, D.R., Tiddeman, B.P., Whiten, S., Pitman, R.M., Hillier, S.G., Burt, D.M., Stirrat, M.R., Law Smith, M.J., Moore, F.R.: Menstrual cycle, pregnancy and oral contraceptive use alter attraction to apparent health in faces. Proc. R. Soc. B 5(272), 347–354 (2005)

    Article  Google Scholar 

  • Kriegel, U., Williford, K. (eds.).: Self-Representational Approaches to Consciousness. MIT Press, Cambridge (2006)

    Google Scholar 

  • Nagel, E., Newman, J.: Gödel’s Proof. New York University Press, New York (1965)

    Google Scholar 

  • Smorynski, C.: The incompleteness theorems. In: Barwise, J. (ed.) Handbook of Mathematical Logic, vol. 4, pp. 821–865. North-Holland, Amsterdam (1977)

    Chapter  Google Scholar 

  • Sterling, L., Beer, R.: Metainterpreters for expert system construction. J. Logic Program. 6, 163–178 (1989)

    Article  Google Scholar 

  • Strijbos, D., Glas, G.: Self-knowledge in personality disorder: self-referentiality as a stepping stone for psychotherapeutic understanding. J. Pers. Dis. 32(3), 295–310 (2018)

    Article  Google Scholar 

  • Treur, J.: Network-Oriented Modeling: Addressing Complexity of Cognitive, Affective and Social Interactions. Springer Publishers (2016)

    Google Scholar 

  • Treur, J.: Network reification as a unified approach to represent network adaptation principles within a network. In: Proceedings of the 7th International Conference on Theory and Practice of Natural Computing, TPNC’18. Lecture Notes in Computer Science, vol. 11324, pp. 344–358. Springer Publishers (2018a)

    Google Scholar 

  • Treur, J.: Multilevel network reification: representing higher-order adaptivity in a network. In: Proceedings of the 7th International Conference on Complex Networks and their Applications, Complex Networks’ 18, vol. 1. Studies in Computational Intelligence, vol. 812, pp. 635–651. Springer (2018b)

    Google Scholar 

  • Treur, J.: The ins and outs of network-oriented modeling: from biological networks and mental networks to social networks and beyond. Trans. Comput. Collective Intell. 32, 120–139 (Springer Publishers. Contents of Keynote Lecture at ICCCI’18) (2019a)

    Google Scholar 

  • Treur, J.: Design of a Software Architecture for Multilevel Reified Temporal-Causal Networks. Doi: https://doi.org/10.13140/rg.2.2.23492.07045. Url: https://www.researchgate.net/publication/333662169 (2019b)

  • Weyhrauch, R.W.: Prolegomena to a theory of mechanized formal reasoning. Artif. Intell. 13, 133–170 (1980)

    Article  MathSciNet  Google Scholar 

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Treur, J. (2020). Higher-Order Reified Adaptive Network Models with a Strange Loop. In: Network-Oriented Modeling for Adaptive Networks: Designing Higher-Order Adaptive Biological, Mental and Social Network Models. Studies in Systems, Decision and Control, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-030-31445-3_8

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  • DOI: https://doi.org/10.1007/978-3-030-31445-3_8

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