title: From Simple to Complex and Ultra-complex Systems: A Paradigm Shift Towards Non-Abelian Systems Dynamics creator: Baianu, Prof.Dr. I.C, creator: Poli, Prof.Dr. Roberto subject: Sociobiology subject: Cognitive Psychology subject: Complexity Theory subject: Language subject: Dynamical Systems subject: Logic subject: Philosophy of Mind subject: Philosophy of Science description: Atoms, molecules, organisms distinguish layers of reality because of the causal links that govern their behavior, both horizontally (atom-atom, molecule-molecule, organism-organism) and vertically (atom-molecule-organism). This is the first intuition of the theory of levels. Even if the further development of the theory will require imposing a number of qualifications to this initial intuition, the idea of a series of entities organized on different levels of complexity will prove correct. Living systems as well as social systems and the human mind present features remarkably different from those characterizing non-living, simple physical and chemical systems. We propose that super-complexity requires at least four different categorical frameworks, provided by the theories of levels of reality, chronotopoids, (generalized) interactions, and anticipation. date: 2010-12-12 type: Preprint type: NonPeerReviewed format: application/pdf identifier: http://cogprints.org/7757/1/BaianuPoli50Nu18.pdf format: application/msword identifier: http://cogprints.org/7757/7/BaianuPoli50Nu18.doc identifier: Baianu, Prof.Dr. I.C, and Poli, Prof.Dr. Roberto (2010) From Simple to Complex and Ultra-complex Systems: A Paradigm Shift Towards Non-Abelian Systems Dynamics. [Preprint] (Unpublished) relation: http://cogprints.org/7757/