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Polytope Perspectives

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Implementing Polytope Projects for Smart Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 92))

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Abstract

The chapter summarizes the results and outlines the perspectives for polytope projects. The methodology of implementing polytope projects, the connection with other research and development directions has been highlighted in this chapter. The methodology concerns projects building blocks, multiple levels, duality and complementarity, closure, center and rhythms allowing specifying the polytope projects architecture. The implementation of polytope projects for the future leading technological and scientific projects concerns coding exploration and artificial living systems. Horizons for society 4.0, beyond industry 4.0 are addressed. The conclusion is that new industrial technologies and approaches are merging the physical, biological, cognitive and intelligent worlds in ways that fundamentally transform society.

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References

  • Abe, E.: Hopf Algebras. Cambridge University Press, Cambridge (1980)

    MATH  Google Scholar 

  • Baars, B.J.: The conscious access hypothesis: origins and recent evidence. Trends Cogn. Sci. 6, 47–52 (2002)

    Article  Google Scholar 

  • Baas, N.A.: Hyperstructures, topology and datasets. Axiomathes 19, 281–295 (2009)

    Article  Google Scholar 

  • Baas, N.A.: Higher order architecture of collections of objects. Int. J. Gen. Syst. 44(1), 55–75 (2015a)

    Google Scholar 

  • Baas, N.A.: On higher structures. Int. J. General Syst. 1–16 (2015b)

    Google Scholar 

  • Barbieri, M.: The Organic Codes: An Introduction to Semantic Biology. Cambridge University Press, Cambridge (2003)

    Google Scholar 

  • Bedau, M.A., McCaskill, J.S., Packard, N.H., Rasmussen, S.: Living technology: exploiting life’s principles in technology. Artif. Life 16(1), 89–97 (2010)

    Article  Google Scholar 

  • Blute, R.: Hopf algebras and linear logic. Math. Struct. Comput. Sci. 6, 189–217 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  • Blute, R., Ehrhard, T., Tasson, C.: A convenient differential category (2010). arXiv preprint arXiv:1006.3140

  • Blute, R., Scott, P.: The shuffle hopf algebra and noncommutative full completeness. J. Symbolic Logic 63, 1413–1435 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  • Brier, S.: Cybersemiotics: Why Information is Not Enough. University of Toronto Press, Toronto, Canada (2008)

    Google Scholar 

  • Brier, S.: Cybersemiotic pragmaticism and constructivism. Constructivist Found. 5(1), 19–39 (2009)

    MathSciNet  Google Scholar 

  • Brueckner, S., Di Marzo Serugendo, G., Hales, D., Zambonelli, F. (eds.): Engineering self-organising systems. LNAI 3910, Springer, Berlin (2006)

    Google Scholar 

  • Ceulemans, E., Van Mechelen, I., Leenen, I.: Tucker3 hierarchical classes analysis. Psychometrika 68, 413–433 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  • Choudhury, N.: World Wide Web and its journey from web 1.0 to web 4.0. Int. J. Comput. Sc. Inf. Tech. 5(6), 8096–8100 (2014)

    Google Scholar 

  • Cockett, R.: What is a good process semantics? In: International Conference on Mathematics of Program Construction 1–3. Springer, Berlin (2006)

    Google Scholar 

  • Cook, N.D.: The brain code: mechanisms of information transfer and the role of the center. Methuen, New York (1986)

    Google Scholar 

  • Deleuze, G.: Foucault. University of Minnesota Press, Minneapolis (1988)

    Google Scholar 

  • Deleuze, G.: The Fold: Leibniz and the Baroque. University of Minnesota Press, Minneapolis (1993)

    Google Scholar 

  • Edelman, G.M.: Naturalizing consciousness: a theoretical framework. Proc. Natl. Acad. Sci. 100(9), 5520–5524 (2003)

    Article  Google Scholar 

  • Ehresmann, A.C.: MENS, an info-computational model for (neuro-) cognitive systems capable of creativity. Entropy 14(9), 1703–1716 (2012)

    Article  Google Scholar 

  • Ehrhard, T., Regnier, L.: Differential interaction nets. Theoret. Comput. Sci. 364(2), 166–195 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  • Eigen, M., Schuster, P.: The Hypercycle. Springer, Berlin (1979)

    Book  Google Scholar 

  • Evans, J.S.B.T.: Dual-processing accounts of reasoning, judgment, and social cognition. Annu. Rev. Psychol. 59, 255–278 (2008)

    Article  Google Scholar 

  • Fomin, S.: Duality of graded graphs. J. Algebraic Combin 3, 357–404 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  • Fontana, W.: Algorithmic chemistry: a model for functional self-organization. Artif. Life II 159–202 (1991)

    Google Scholar 

  • Ganter, B., Wille., R.: Formal Concept Analysis. Mathematical Foundations. Springer, Berlin (1999)

    Google Scholar 

  • Grossberg, S.: The complementary brain: a unifying view of brain specialization and modularity. Trends Cogn. Sci. 4, 233–246 (2000)

    Article  Google Scholar 

  • OMG: Object Management Group, Software & Systems Process Engineering Meta-Model Specification 2.0 (2008)

    Google Scholar 

  • Haken, H.: Information and Self-Organization: A Macroscopic Approach to Complex Systems, Springer Series in Synergetics, 2nd edn. Springer, Berlin (2000)

    MATH  Google Scholar 

  • Hartmann, N.: The New Ways of Ontology. Greenwood Press, Westport (1952)

    Google Scholar 

  • Heidegger, M.: Being and Time. Harper and Row, New York (1962)

    Google Scholar 

  • Helbing, D.: What the digital revolution means to us. Science Business, June 12 (2014)

    Google Scholar 

  • Helbing, D.: Societal, economic, ethical and legal challenges of the digital revolution: from big data to deep learning, artificial intelligence, and manipulative technologies. Artif. Intell. Manipulative Technol. (2015)

    Google Scholar 

  • Iordache, O.: Polystochastic Models for Complexity. Springer, Berlin (2010)

    Book  MATH  Google Scholar 

  • Iordache, O.: Self-evolvable Systems. Machine Learning in Social Media. Springer, Berlin (2012)

    Book  Google Scholar 

  • Iordache, O.: Polytope Projects. Taylor & Francis CRC Press, Boca Raton (2013)

    Book  Google Scholar 

  • Ji, S.: Complementarism: A biology-based philosophical framework to integrate western science and eastern tao. In: Proceeding of the 16th International Congress of Psychotherapy, pp. 518–548 (1995)

    Google Scholar 

  • Joni, S.A., Rota, G.C.: Coalgebras and bialgebras in combinatorics. Stud. Appl. Math. 61(2), 93–139 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  • Jorgenson, L.A., Newsome, W.T., Anderson, D.J., Bargmann, C.I., Brown, E.N., Deisseroth, K., Donoghue, J.P., Hudson, K.L., Ling, G.S., MacLeish, P.R., Marder, E.: The BRAIN initiative: developing technology to catalyse neuroscience discovery. Phil. Trans. R. Soc. B 370(1668), 20140164 (2015)

    Article  Google Scholar 

  • Kauffman, S.: The Origins of Order. Self-organization and Selection in Evolution. Oxford University Press, New York (1993)

    Google Scholar 

  • Kauffman, S.: Investigations. Oxford University Press, NY (2000)

    Google Scholar 

  • Kelso, J.: The complementary nature of coordination dynamics: self-organization and the origins of agency. J. Nonlinear Phenomena Complex Syst. 5, 364–371 (2002)

    Google Scholar 

  • Kelso, J.A.S., Engstrom, D.A.: The complementary nature. MIT Press, Cambridge (2006)

    Google Scholar 

  • Kelso, J.A.S., Tognoli, E.: Toward a complementary neuroscience: metastable coordination dynamics of the brain. In: Murphy, N., Ellis, G.F.R., O’Connor, T. (eds.) Downward Causation and the Neurobiology of Free Will, pp. 103–124. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  • Langley, P.: Cognitive architectures and general intelligent systems. AI Magazine. 27, 33–44 (2006)

    Google Scholar 

  • Langley, P., Simon, H., Bradshaw, G., Zytkow, J.: Scientific Discovery: Computational Explorations of the Creative Processes. MIT Press, Cambridge (1987)

    Google Scholar 

  • Lehn, J.-M.: From supramolecular chemistry towards constitutional dynamic chemistry and adaptive chemistry. Chem. Soc. Rev. 36, 151–160 (2007)

    Article  Google Scholar 

  • Lovel, C.J., Zauner, K.-P.: Towards algorithms for autonomous experimentation. In: Naef, F., Galliot, B., Nehaniv, C., (eds.) Proceedings of the 8th International Conference on Information Processing in Cells and Tissues (IPCAT 2009), pp. 150–152 (2009)

    Google Scholar 

  • Luhmann, N.: Social Systems. Stanford University Press, California (1995)

    Google Scholar 

  • Lupasco, S.: Logique et contradiction. Presses Universitaires de France, Paris (1947)

    Google Scholar 

  • Mandelbrot, B.: The Fractal Geometry of Nature. W.H. Freeman, San Francisco (1982)

    MATH  Google Scholar 

  • Matsumaru, N., Centler, F., Zauner, K.P., Dittrich, P.: Self-adaptive scouting-autonomous experimentation for systems biology. In: Lecture Notes in Artificial Intelligence, vol. 3005, Lecture Notes in Computer Science, pp. 52–62. Springer, Berlin (2004)

    Google Scholar 

  • Maturana, H., Varela, E.: Autopoiesis and Cognition. The Realization of the Living. Reidel, Dordrecht (1980)

    Book  Google Scholar 

  • Mossio, M., Longo, G., Stewart, J.: An expression of closure to efficient causation in terms of λ-calculus. J. Theor. Biol. 257, 498 (2009)

    Article  Google Scholar 

  • Nicolescu, B.: Manifesto of Transdisciplinarity. SUNY, Albany, USA (2002)

    Google Scholar 

  • Nicolis, G., Prigogine, I.: Self-organization in Nonequilibrium Systems. Wiley, New York, (1977)

    Google Scholar 

  • Pattee, H.H.: Evolving self-reference: matter, symbols, and semantic closure. Commun. Cogn. Artif. Intell. 12(1–2), 9–28 (1995)

    Google Scholar 

  • Pattee, H.H.: The physics of symbols: bridging the epistemic cut. Biosystems 60, 5–21 (2001) (Special Issue: Reflections on the work of Howard Pattee)

    Google Scholar 

  • Peirce, C.S.: Collected papers of Charles Sanders Peirce, vols. 1–8, Cambridge University Press, Cambridge (1956)

    Google Scholar 

  • Piaget, J.: Genetic Epistemology. Columbia University Press, New York (1970)

    Google Scholar 

  • Piaget, J.: The Construction of Reality in the Child. Ballantine Books, New York (1971)

    Google Scholar 

  • Piaget, J., Garcia, R.: Psychogenesis and the History of Science. Columbia University Press, New York (1989)

    Google Scholar 

  • Poli, R.: The basic problem of the theory of levels of reality. Axiomathes 12, 261–283 (2001)

    Article  Google Scholar 

  • Poli, R.: Three obstructions: forms of causation, chronotopoids, and levels of reality. Axiomathes 17, 1–18 (2007)

    Article  Google Scholar 

  • Rosen, R.: Life Itself: A Comprehensive Enquiry into the Nature, Origin and Fabrication of Life. Columbia University Press, New York (1991)

    Google Scholar 

  • Scharmer, O.: Theory U: Leading from the Future as It Emerges. Berrett-Koehler, San Francisco (2009)

    Google Scholar 

  • Scharmer, O., Kaufer, K.: Leading from the Emerging Future: From Ego-system to Eco-system Economies. Berrett-Koehler, San Francisco (2013)

    Google Scholar 

  • Schwab, K.: The Fourth Industrial Revolution. World Economic Forum, Geneva (2016)

    Google Scholar 

  • Sweedler, M.E.: Hopf Algebras, Mathematics Lecture Note Series. W. A. Benjamin Inc., New York (1969)

    MATH  Google Scholar 

  • Van Den Heuvel, M.P., Sporns, O.: Rich-club organization of the human connectome. J. Neurosci. 31(44), 15775–15786 (2011)

    Article  Google Scholar 

  • von Kiedrowski, G., Otto, S., Herdewijn, P.: Welcome home, systems chemists! J. Syst. Chem. 1(1), 1 (2010)

    Article  Google Scholar 

  • von Uexküll J.: Theoretische Biologie. Frankfurt a. M.: Suhrkamp Taschenbuch Wissenschaft (1973)

    Google Scholar 

  • Yim, M., Shen, W.M., Salemi, B., Rus, D., Moll, M., Lipson, H., Klavins, E., Chirikjian, G.S.: Modular self-reconfigurable robot systems [grand challenges of robotics]. IEEE Robot. Autom. Mag. 14(1), 43–52 (2007)

    Article  Google Scholar 

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Correspondence to Octavian Iordache .

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Iordache, O. (2017). Polytope Perspectives. In: Implementing Polytope Projects for Smart Systems. Studies in Systems, Decision and Control, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-52551-8_9

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  • DOI: https://doi.org/10.1007/978-3-319-52551-8_9

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