The parts and the whole: Inquiring how the interaction of simple subsystems generates complexity

International Journal of General Systems

Volumn 35, Issue 4, 2006, Pages 395-415

  Mizraji, E ^a  

^a UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

Author keywords

Cellular automata; Complexity; Emergency; Memory models logic

Indexed keywords

ALGEBRA; COMPUTATIONAL COMPLEXITY; DATA STORAGE EQUIPMENT; FORMAL LOGIC; MATHEMATICAL MODELS; PROBLEM SOLVING;

COMPLEX BEHAVIOURS; ELEMENTARY CELLULAR AUTOMATA (ECA); ELEMENTARY LAWS; LOGICAL FUNCTIONS;

LARGE SCALE SYSTEMS;

EID: 33750904577     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081070600687759     Document Type: Article

References (34)

1. C. Arruti and E. Mizraji "Hidden potentialities", Int. J. Gen. Syst., in press, 2006.
2. W.R. Ashby, An Introduction to Cybernetics, London: Chapman and Hall, 1956.
3. W.R. Ashby. Design for a Brain, New York: Wiley, 1960.
4. G. Boole, An Investigation of the Laws of Thought, on which are Founded the Theories of Logic and Probabilities. New York: Dover Reedition, 1854; London: Macmillan, 1958.
5. S. Dick, "Towards complex fuzzy logic", IEEE Trans. Fuzzy Syst., 15, pp. 405-414, 2005.
6. J.T. Edsall and J. Wyman, Biophysical Chemistry, New York: Academic Press, 1958.
7. R.P. Feynman, Lectures on Computation, Cambridge: Perseus, 1999.
8. E. Fredkin and T. Toffoli, "Conservative logic", Int. J. Theoret. Phys., 21, pp. 219-253, 1982.
9. J.H. Holland, Emergence, Reading: Addison-Wesley, 1998.
10. S. Kauffman, The Origins of Order, Oxford: Oxford University, 1993.
11. G.J. Klir and T.A. Folger. Fuzzy Sets, Uncertainty, and Information, London: Prentice-Hall, 1988.
12. T. Kohonen, Associative Memory: A System-Theoretical Approach, New York: Springer-Verlag, 1977.
13. B. Laks and B. Victorri, "Homo narrans: le rôle de la narration dans l'emergence du langage", Langages, 146, pp. 112-125, 2002.
14. W. Li and N. Packard, "The structure of elementary cellular automata rule space", Complex Syst., 4, pp. 281-297, 1990.
15. W. Li, "Phenomenology of non-local cellular automata", J. Stat. Phys., 68, pp. 829-882, 1992.
16. W. Li and J. Reich, "A complete enumeration and classification of two-locus disease models", Hum. Hered., 50, pp. 334-349, 2000.
17. B. MacWhinney, "Models of the emergence of language", Annu. Rev. Psychol., 49, pp. 199-227, 1998.
18. R. May, "Will a large complex system be stable? Nature, 238, pp. 413.
19. M.L. Minsky and S.A. Papert, Perceptrons (expanded edition), Cambridge, MA: MIT Press, 1988.
20. E. Mizraji, "Context-dependent associations in linear distributed memories", Bull. Math. Bio., 50, pp. 195-205, 1989.
21. E. Mizraji, "Vector logics: the matrix-vector representation of logical calculus", Fuzzy Sets Syst., 50, pp. 179-185, 1992.
22. E. Mizraji, "Modalities in vector logic", Notre Dame J. Formal Logic, 35, pp. 272-283, 1994.
23. E. Mizraji, "The operators of vector logic"', Math. Log. Quart., 42, pp. 27-39, 1996.
24. E. Mizraji, El Segundo Secreto de la Vida, Montevideo: Trilce, 1999.
25. E. Mizraji and J. Lin, "Fuzzy decisions in modular neural networks", Int. J. Bifur. Chaos, 11, pp. 155-167, 2001.
26. E. Mizraji and J. Lin, "The dynamics of logical decisions", Physica D, 168-169, pp. 386-396, 2002.
27. E. Mizraji, "The emergence of dynamical complexity: an exploration using elementary cellular automata", Complexity, 9, pp. 33-42, 2004.
28. A. Pomi and E. Mizraji, "A cognitive architecture that solves a problem stated by Minsky", IEEE Trans. Syst., Man, Cybernetics. Part B: Cybernetics, 31, pp. 729-734, 2001.
29. A. Pomi and E. Mizraji, "Semantic graphs and associative memories", Phys. Rev. E, 70, 066136, 2004.
30. W. Sandler, I. Meir, C. Padden and M. Aronoff, "The emergence of grammar: systematic structure in a new language", Proc. Nat. Acad. Sci., 102, pp. 2661-2665, 2005.
31. R. Serra and G. Zanarini, Complex systems and Cognitive Processes, Berlin: Springer-Verlag, 1990.
32. S. Wolfram, "Origins of randomness in physical systems", Phys. Rev. Lett., 55, pp. 449-452, 1985.
33. S. Wolfram, "Random sequence generation by cellular automata", Adv. Appl. Maths., 7, pp. 123-169, 1986.
34. S. Wolfram, Cellular Automata and Complexity, New York: Addison-Wesley, 1994.