Abstract
“Complex” is a special attribute we can give to many kinds of systems. Although it is used often as a synonym of “difficult,” it has a specific epistemological meaning, which is going to be shared by the incoming science of complexity. “Difficult” is an object which, by means of an adequate computational power, can be deterministically or stochastically predictable. On the contrary “complex” is an object which can not be predictable because of logical impossibility or because its predictability would require a computational power far beyond any physical feasibility, now and forever. For complexity refers to some observing system, it is always subjective, and thus it is defined as observed irreducible complexity. Human systems are affected by several sources of complexity, belonging to three classes, in order of descending restrictivity. Systems belonging to the first class are not predictable at all, those belonging to the second class are predictable only through an infinite computational capacity, and those belonging to the third class are predictable only through a trans-computational capacity. The first class has two sources of complexity: logical complexity, directly deriving from self-reference and Gödel's incompleteness theorems, and relational complexity, resulting in a sort of indeterminacy principle occurring in social systems. The second class has three sources of complexity: gnosiological complexity, which consists of the variety of possible perceptions; semiotic complexity, which represents the infinite possible interpretations of signs and facts; and chaotic complexity, which characterizes phenomena of nonlinear dynamic systems. The third class coincides with computational complexity, which basically coincides with the mathematical concept of intractability. Artificial, natural, biological and human systems are characterized by the influence of different sources of complexity, and the latter appear to be the most complex.
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REFERENCES
Abell, D. F. (1980). Defining the business: the starting point of strategic planning. Englewood Cliffs (NJ): Prentice-Hall.
Alvesson, M. (1993). Organizations as rhetoric: Knowledge-intensive firms and the struggle with ambiguity. Journal of Management Studies, 30/6, 997–1017.
Alvesson, M. & Berg P. O. (1992). Corporate culture and organizational symbolism. Berlin: de Gruyter.
Anderson, P. W., Arrow K. & Pines D. (Eds.) (1988). The economy as an evolving complex system. Reading (MA): Addison-Wesley.
Arnol'd, V. I. (1986). Catastrophe theory. Berlin: Springer Verlag.
Ashby, R. W. (1956). An introduction to cybernetics. NY: Wiley.
Ashby, R. W. (1962). Principles of the self-organizing system. In H. von Foerster & G. W. Zopf (Eds.) Principles of self-organization: The Illinois Symposium on theory and technology of self-organizing systems. London: Pergamon; reprinted In W. Buckley (Ed.) (1968). Modern systems research for the behavioral scientist. Chicago: Aldine Pub.
Austin, J. L. (1962). How to do things with words. Oxford: Oxford UP.
Barrow J. D. (1998). Impossibility. The limits of science and the science of limits. Oxford: Oxford UP.
Bateson, G. (1972). Steps to an ecology of mind. Chandler.
Bateson, G. (1980). Mind and nature. NY: Bantam Books.
Beer, S. (1959). Cybernetics and management. London: The English Universities Press.
Beer, S. (1972). Brain of the firm. London: Penguin.
Biggiero, L. (1999). Markets, hierarchies, networks, districts: A cybernetic approach. Human Systems Management,18, 1–16.
Biggiero, L. (2000). Complexity and organization. In M. Zeleny (Eds.) The IEBM handbook of information technology in business (pp. 291–300). London: Thomson.
Biggiero, L. (2001). Managerial action and observation: A view of relational complexity. Systemica, forthcoming.
Brillouin, L. (1956). Science and information. NY: Academic Press.
Casti, J. L. (1989). Paradigms lost. NY: Avon Books.
Casti, J. L. (1994). Complexification. NY: HarperCollins.
Casti, J. L. (1996). The great Ashby. Journal of Complexity,1, 7–9.
Chaitin, G. J. (1987a). Algorithmic information theory. Cambridge: Cambridge UP.
Chaitin, G. J. (1987b). Information, randomness & incompleteness. Singapore: World Scientific.
Cormen, T. H., Leiserson C. E. & Rivest R. L. (1990). Introduction to algorithms. Cambridge (MA): MIT Press.
Czarniawska-Joerges, B. (1992). Exploring complex organizations: A cultural perspective. London: Sage.
Davis, M. (1958). Computability and unsolvability. NY: McGraw-Hill.
Davis, M. (Ed.) (1965). The undecidable: Basic papers on undecidable propositions, unsolvable problems and computable functions. NY: Raven Press.
Dreyfus, H. L. (1972). What computers can't do: A critique of artificial reason. NY: Harper & Row.
Dreyfus, H. L. (1987). Being-in the-world: A commentary on division I of Heidegger's Being and time. Cambridge (MA): MIT Press.
Dreyfus, H. L., & Dreyfus S. E. (1985). Mind over machine. NY: Macmillan/The Free Press.
Durlauf, S. N. (1997). Limits to science or limits to epistemology? Journal of Complexity,3, 31–37.
Eco, U. (1979). A theory of semiotics. Bloomington: University of Indiana Press.
Eco, U., & Sebeok T. A. (Eds.) (1983). The sign of three. Bloomington: University of Indiana Press.
Ekeland, I. (1991). Au hazard. Paris: Editions du Seuil.
Foerster, von H. (1982). Observing systems. Seaside (CA): Intersystems Publications.
Foerster, von H. (1984). Principles of self-organization in a socio-managerial context. In H. Ulrich & G. J. B. Probst (Eds.). Self-organization and management of social systems (pp. 2–24). Berlin: Springer.
Foerster, von H., & Zopf W. (Eds.) (1962). Principles of self-organization. NY: Pergamon.
Frost, P. J., Moore L. F., Lundberg C. C., & Martin J. (Eds.) (1985). Organizational culture. Beverly Hills: Sage.
Garey, M. R. & Johnson D. S. (1979). Computers and intractability. NY: Freeman.
Gill, A. (1962). Introduction to the theory of finite-state machines. NY: McGraw-Hill.
Glasersfeld, von E. (1995). Radical constructivism: A way of knowing and learning. London: The Falmer Press.
Gleick, J. (1987). Chaos: making a new science. NY: Penguin.
Haken, H. (1978). Synergetics. Berlin: Springer.
Hall, N. (1991). The new scientist guide to chaos. London: Penguin.
Hayek, von F. A. (Ed.) (1935). Collectivist economic planning. London: Routledge.
Hayek von F. A. (1949). Individualism and economic order. London: Routledge & Kegan Paul.
Holland, J. H. (1995). Hidden order. Reading (MA): Addison-Wesley.
Kauffman, S. A. (1993). The origins of order. NY: Oxford UP.
Kets de Vries, M. F. R. (1980). Organizational paradoxes: Clinical approaches to management. London: Tavistock Pub.
Kets de Vries, M. F. R., & Miller D. (1984). The neurotic organization. San Francisco (CA): Jossey-Bass.
Langton, C. G. (Ed.) (1988). Artificial life I. Reading, MA: Addison-Wesley.
Langton, C. G. (Ed.) (1991). Artificial life II. Reading, MA: Addison-Wesley.
Lenneberg, E. (1969). Biological foundations of language. NY: Wiley.
Lorenz, E. N. (1993). The essence of chaos. Seattle: University of Washington Press.
Luhmann, N. (1984). Soziale Systeme. Frankfurt am Main: Suhrkamp Verlag.
Luhmann, N. (1990). Essays on self-reference. NY: Columbia UP.
Mandelbrot, B. B. (1977). Fractals: Form, chance and dimension. San Francisco (CA): Freeman.
March, J. G. (1988). Decisions and organizations. Oxford: Basil Blackwell.
March, J. G., & H. A. Simon (1958). Organizations. NY: John Wiley.
Maturana, H. R. (1978). Biology of language: The epistemology of reality. In G. A. Miller & E. Lenneberg (Eds.). Psychology and biology of language and thought (pp. 27–63). NY: Academic Press.
Maturana, H. & Varela F. (1980). Autopoiesis and cognition. Dordrecht: Reidel.
Merry, U. (1995). Coping with uncertainty. Westport (CT): Praeger.
Miller, G. A., & Lenneberg E. (Eds.) (1978). Psychology and biology of language and thought: Essays in honor of Eric Lenneberg. NY: Academic Press.
Nagel, E., & Newman J. R. (1958). Gödel's proof. NY: New York UP.
Nonaka, I. (1988). Creating organizational order out of chaos: self-renewal in Japanese firms. California Management Review,30, 57–73.
Pagels, H. (1988). The dreams of reason. NY: Simon & Schuster.
Parker, D., & Stacey R. (1994). Chaos, management and economics: The implications of nonlinear thinking. London: Institute of Economic Affairs.
Peirce, C. S. (1931). Collected papers. Cambridge (MA): Belknap Press.
Peliti, L., & Vulpiani, A. (Eds.) (1987). Measures of complexity. Berlin: Springer Verlag.
Perrone, V. (1997). The coevolution of contexts and structures: the N-Form. In T. Clark (Ed.). Advancement in organizational behaviour (pp. 145–164). Aldershot: Ashgate.
Pines, D. (Ed.) (1987). Emerging syntheses in science. Reading, MA: Addison-Wesley.
Post, E. (1965). Recursive enumerable sets of positive integrals and their decision problem. In M. Davis (Ed.),The undecidable: Basic papers on undecidable propositions, unsolvable problems and computable functions. NY: Raven Press.
Prigogine, I., & Nicolis G. (1987). Exploring complexity: An introduction. Munich: R. Piper Gmbh & Co.
Prigogine, I., & Stengers I. (1984). Order out of chaos. NY: Bantam Books.
Purser, R. E., & S. Cabana (1998). The self-managing organization. NY: The Free Press.
Quine, W. V. O. (1960). Word and object. Cambridge (MA).
Rorty, R. (1979). Philosophy and the mirror of nature. Princeton: Princeton UP.
Roy, B. (1985). Méthodologie multicritére d'aide à la décision. Paris: Economica.
Roy, B., & Vincke, P. (1981). Multicriteria analysis: Survey and new directions. European Journal of Operations Research,8, 207–218.
Ruelle, D. (1991). Chance and chaos. Princeton: Princeton UP.
Schanker, S. G. (1988). Gödel's theorem in focus. London: Croom Helm.
Searle, J. R. (1962). Meaning and speech acts. Philosophical Review,73, 43–58.
Searle, J. R. (1969). Speech acts: an essay in the philosophy of language. London: Cambridge UP.
Searle, J. R. (1983). Intentionality. London: Cambridge UP.
Shannon, C. E. (1948). Themathematical theory of communication. Bell Systems Technological Journal,27, 379–423, 623-656.
Shannon, C. E., & Weaver W. (1949). The mathematical theory of communication. Urbana and Chicago: Univ. Of Illinois Press.
Simon, H. A. (1962). The architecture of complexity. Proceedings of the American Philosophical Society; reprinted in H. A. Simon (Ed.) (1969). The sciences of the artificial. Cambridge (MA): MIT Press.
Simon, H. A. (1977). Models of discovery. Dordrecht: Reidel.
Simon, H. A. (1979). Models of thought. New Haven: Yale UP.
Sims, H. P., & Gioia, D. A. (Eds.) (1986). The thinking organization. San Francisco: Jossey-Bass.
Stacey, R. D. (1991). The chaos frontier. Oxford: Butterworth-Heinemann.
Stacey, R. D. (1992). Managing the unknowable. San Francisco: Jossey-Bass.
Stacey, R. D. (1993). Strategic management and organizational dynamics. London: Pitman.
Stacey, R. D. (1995). The science of complexity: an alternative perspective for strategic change processes. Strategic Management Journal,16, 477–495.
Stacey, R. D. (1996). Complexity and creativity in organizations. San Francisco: Berrett-Koehler Pub.
Stalnaker, R. (1973). Presuppositions. Journal of Philosophical Logic,2, 447–457.
Stein, D. L. (Ed.) (1988). Lectures in the sciences of complexity. Reading, MA: Addison-Wesley.
Stein, D. L., & Nadel L. (Eds.) (1990). Lectures in complex systems. Reading, MA: Addison-Wesley.
Stockmeyer, L. J., & Chandra A. K. (1979). Inherently difficult problems. Scientific American.24(5), 140–159.
Sugden, R. (1989). Spontaneous order. Journal of Economic Perspectives,3,85–97.
Thom, R. (1972). Stabilitè structurelle et morphogenese. Paris: InterEditions S. A.
Thom, R. (1980). Modeles mathematiques de la morphogenese. Paris: Christian Bourgois.
Trakhtenbrot, B. A., & Barzin Y. M. (1973). Finite automata. Amsterdam: North Holland.
Turing, A. (1936). On computable numbers, with an application to the Entscheidungsproblem. Proceedings of London Mathematical Society, Vol. 42, 43; reprinted in M. Davis (Ed.) (1965). The undecidable: Basic papers on undecidable propositions, unsolvable problems and computable functions. NY: Raven Press.
Twomey Fosnot, C. (Ed.) (1996). Constructivism: Theory, perspectives, and practice. NY: Teacher College Press.
Varela, F. J. (1979). Principles of biological autonomy. NY: North Holland.
Varela, F. G, Maturana H. R., & Uribe, R. (1974). Autopoiesis: the organization of living systems, its characterization and a model. BioSystems,5, 187–196.
Vincke, P. (1992). Multicriteria decision-aid. NY: Wiley.
Waldrop, M. M. (1992). Complexity: The emerging science at the edge of order and chaos. NY: Simon & Schuster.
Watzlawick, P. (Ed.), (1984). The invented reality. NY: Norton.
Watzlawick, P., Beavin J. H., & Jackson D. D. (1967). Pragmatics of human communication. A study of interactional patterns, pathologies, and paradoxes. NY: Norton.
Weick, K. (1969). The social psychology of organizing. Reading, MA: Newberry Award Records Inc.
Weick, K. E., (1995). Sensemaking in organizations. Beverly Hills, CA: Sage.
Weick, K. E., & Bougon M. G. (1986). Organizations as cognitive maps: charting way to success and failure. In H. P. Sims & D. A. Gioia (Eds.). The thinking organization (pp. 102–135). San Francisco: Jossey-Bass.
Wiener, N. (1948). Cybernetics, or control and communication in the animal and the machine. NY: John Wiley.
Winograd, T., & Flores F. (1986). Understanding computers and cognition: A new foundation for design. Ablex Publishing.
Wittgenstein, L. (1953). Philosophische Untersuchungen. Oxford: Basil Blackwell.
Wittgenstein, L. (1969). On certainty. Oxford: Basil Blackwell.
Woodcock, A., & Davis M. (1978). Catastrophe theory. NY: Dutton.
Yovits, M. C., & Cameron S. (Eds.), (1960). Self-organizing systems. NY: Pergamon.
Zeleny, M. (1996). On the social nature of autopoietic systems. In E. L. Khalil & K. E. Boulding (Eds.). Evolution, order and complexity (pp. 122–145). London: Routledge.
Zeleny, M., & Hufford K. D. (1992). The application of autopoiesis in system analysis: are autopoietic systems also social systems? International Journal of General Systems,21, 145–160.
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Biggiero, L. Sources of Complexity in Human Systems. Nonlinear Dynamics Psychol Life Sci 5, 3–19 (2001). https://doi.org/10.1023/A:1009515211632
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DOI: https://doi.org/10.1023/A:1009515211632