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    UNSW, Maths and Stats, Sydney, Australia

    On Complexity and Emergence

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    Numerous definitions for complexity have been proposed over the last half century, with little consensus achieved on how to use the term. A definition of complexity is supplied here that is closely related to the Kolmogorov Complexity and Shannon Entropy measures widely used as complexity measures, yet addresses a number of concerns raised against these measures. However, the price of doing this is to introduce context dependence into the definition of complexity. It is argued that such context dependence is an inherent property of complexity, and related concepts such as entropy and emergence. Scientists are uncomfortable with such context dependence, which smacks of subjectivity, and this is perhaps the reason why little agreement has been found on the meaning of these terms.

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    Description

    Title : On Complexity and Emergence
    Author(s) : Russell K Standish
    Abstract : Numerous definitions for complexity have been proposed over the last half century, with little consensus achieved on how to use the term. A definition of complexity is supplied here that is closely related to the Kolmogorov Complexity and Shannon Entropy measures widely used as complexity measures, yet addresses a number of concerns raised against these measures. However, the price of doing this is to introduce context dependence into the definition of complexity. It is argued that such context dependence is an inherent property of complexity, and related concepts such as entropy and emergence. Scientists are uncomfortable with such context dependence, which smacks of subjectivity, and this is perhaps the reason why little agreement has been found on the meaning of these terms.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2001

    Affiliations UNSW, Maths and Stats, Sydney, Australia
    Editors : Harold Fellermann, Mark Dörr, Martin M Hanczyc, Lone Ladegaard Laursen, Sarah Maurer, Daniel Merkle, Pierre-Alain Monnard, Kasper Stoy, Steen Rasmussen
    Journal : Complexity International
    Volume : 09
    Issue : 0101006
    Publisher : The MIT Press
    Pages : 1-6
    Url : http://arxiv.org/abs/nlin/0101006

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