Classification of emergence and its relation to self-organization

Emergence is a difficult concept to describe clearly. It has been characterized in the literature in a number of ways, none of which are easy to understand or describe clearly how other concepts in complex systems science are related to emergence. We provide a simple, clear description, and classification of emergence in terms of self-organization. This provides a framework for understanding how concepts such as thermodynamic equilibrium, nonlinearity, and computability are related to emergence. © 2008 Wiley Periodicals, Inc. Complexity, 2008.

[1]  S. Levin Lectu re Notes in Biomathematics , 1983 .

[2]  Stanley N. Salthe,et al.  Development and Evolution: Complexity and Change in Biology , 1993 .

[3]  T. Wolf,et al.  Emergence and self-organisation: a statement of similarities and differences , 2004 .

[4]  J. Deneubourg,et al.  Collective patterns and decision-making , 1989 .

[5]  Peter V Coveney,et al.  Self–organization and complexity: a new age for theory, computation and experiment , 2003, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6]  John Cohen,et al.  EMBRYOS AND EVOLUTION , 1982 .

[7]  Gregory J. Chaitin,et al.  Information, Randomness and Incompleteness , 1987 .

[8]  Y Toquenaga,et al.  Frpm artificial individuals to global patterns. , 1994, Trends in ecology & evolution.

[9]  J. Gerhart,et al.  Cells, Embryos and Evolution , 1997 .

[10]  S. Kauffman At Home in the Universe: The Search for the Laws of Self-Organization and Complexity , 1995 .

[11]  Peter A. Corning,et al.  The re-emergence of "emergence": A venerable concept in search of a theory , 2002, Complex..

[12]  B. Goodwin How the Leopard Changed Its Spots: The Evolution of Complexity , 1995 .

[13]  Johan Bollen,et al.  The evolution of complexity , 1999 .

[14]  Cliff Hooker,et al.  Complexly Organised Dynamical Systems , 1999 .

[15]  J. Crutchfield The calculi of emergence: computation, dynamics and induction , 1994 .

[16]  James P. Crutchfield,et al.  An Algorithm for Pattern Discovery in Time Series , 2002, ArXiv.

[17]  J. Deneubourg,et al.  Self-organized shortcuts in the Argentine ant , 1989, Naturwissenschaften.

[18]  J. Deneubourg,et al.  Functional Self-Organisation Illustrated by Inter-Nest Traffic in Ants: The Case of the Argentine Ant , 1990 .

[19]  Stuart A. Kauffman,et al.  The origins of order , 1993 .

[20]  Jan Walleczek,et al.  Self-Organized Biological Dynamics and Nonlinear Control: The frontiers and challenges of biodynamics research , 2000 .

[21]  Navot Israeli,et al.  Computational irreducibility and the predictability of complex physical systems. , 2003, Physical review letters.

[22]  D. Pines,et al.  The theory of everything. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[23]  M. Conrad Evolving hierarchical systems: Stanley N. Salthe, Columbia University Press, New York, 1985, 343pp. (US$32.50) , 1987 .

[24]  J. Crutchfield,et al.  Thermodynamic depth of causal states: Objective complexity via minimal representations , 1999 .

[25]  Yaneer Bar-Yam,et al.  A mathematical theory of strong emergence using multiscale variety , 2004, Complex..

[26]  Bryon Cunningham The Reemergence of 'Emergence' , 2001, Philosophy of Science.

[27]  Grégoire Nicolis,et al.  Self-Organization in nonequilibrium systems , 1977 .

[28]  Tamas Vicsek Complexity: The bigger picture , 2002, Nature.

[29]  P. C. W. Davies Emergent Biological Principles and the Computational Properties of the Universe , 2004 .

[30]  Tom De Wolf,et al.  Emergence Versus Self-Organisation: Different Concepts but Promising When Combined , 2004, Engineering Self-Organising Systems.

[31]  S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability , 1961 .

[32]  John H. Holland,et al.  Emergence. , 1997, Philosophica.

[33]  Crutchfield,et al.  Comment I on "Simple measure for complexity" , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[34]  Alex J. Ryan,et al.  Emergence is coupled to scope, not level , 2006, Complex..

[35]  P. C. W. Davies Emergent biological principles and the computational properties of the universe: Explaining it or explaining it away , 2004, Complex..