Abstract
The hierarchy or the network, which allows modeling at several levels is deep-rooted in the higher categories frames. Models of models, that is, meta-models allowing the study of processes of processes, and so on, are presented.
Four realms general PSM frames results by integrative closure.
Innovative is the model categorification for multiple levels modeling. This imposes making use of unconventional notions of time and probabilities.
Non-Archimedean frames based on infinitesimals and on non-well-founded sets are presented.
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References
Aczel, P.: Non-well-founded Sets, Stanford CSLI (1988)
Bainbridge, W.S., Roco, M.C. (eds.): Managing Nano-Bio Info-Cogno Innovations: Converging Technologies in Society. Springer Science and Business Media, Berlin (2006)
Barwise, J., Moss, L.: Vicious Circles, On the Mathematics of Non-Wellfounded Phenomena. CSLI Lecture Notes Number, vol. 60. CSLI Publications, Stanford (1996)
Blume, A., Branderburger, A., Dekel, E.: Lexicographic probabilities and choice under uncertainty. Econometrica 59(1), 61–79 (1991)
Brier, S.: Cybersemiotic pragmaticism and constructivism. Constructivist Foundations 5(1), 19–39 (2009)
Chemero, A., Turvey, M.T.: Complexity and “closure to efficient causation”. In: Ruiz-Mirazo, K., Barandiaran, R. (eds.) Proceedings of ALifeX: Workshops on Artificial Autonomy, pp. 13–19
Dubois, D., Prade, H.: Possibility theory, probability theory and multiple valued logics: a clarification. Annals of Mathematics and Artificial Intelligence 32, 35–66 (2001)
Hammond, P.J.: Elementary Non-Archimedean Representation of Probability for Decision Theory and Games. In: Humphreys, P. (ed.) Patrick Suppes: Scientific Philosopher. Probability and Probabilistic Causality, vol. I, pp. 25–59. Kluwer Academic Publishers, Dordrecht (1994)
Iordache, O.: Evolvable Designs of Experiments Applications for Circuits. J. Wiley VCH, Weinheim (2009)
Iordache, O.: Polystochastic Models for Complexity. Springer, Heidelberg (2010)
Neder, L.: Modell einer Differentialrechnng mit aktual unendlich kleinen Grossen erster Ordnung. Math. Annalen. 118(2), 251–262 (1941)
Neder, L.: Model einer Leibnizischen Differentialrechnung mit aktual unendlich kleiner Grossen samtlicher Ordnungen. Math. Annalen. 118(5), 718–732 (1943)
Poli, R.: The basic problem of the theory of levels of reality. Axiomathes 12(3-4), 261–283 (2001)
Schumann, A.: Non-Well-Founded Probabilities and Coinductive Probability Logic. In: Proceedings of the 2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Timisoara, Romania, pp. 54–57 (2008)
Sowa, J.F.: Representing Knowledge Soup. In: Language and Logic, Conference on Knowledge and Logic. Technische Universität Darmstadt (2002)
Sowa, J.F.: The challenge of knowledge soup. In: Proc. First International WordNet Conference, Goa, India (2004)
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Iordache, O. (2011). New PSM Frames. In: Modeling Multi-Level Systems. Understanding Complex Systems, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17946-4_4
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DOI: https://doi.org/10.1007/978-3-642-17946-4_4
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