AIP Conference Proceedings 1998
DOI: 10.1063/1.56331
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Computing anticipatory systems with incursion and hyperincursion

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Cited by 128 publications
(85 citation statements)
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“…The expectations are about future states which can reflexively be made operational in the present. This use of future states in the present tends to invert the historical arrow of time locally (Coveney and Highfield 1990;Dubois 1998;Prigogine and Stengers 1988). However, this reflexive inversion operates in history and therefore leaves an empirically contingent footprint.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…The expectations are about future states which can reflexively be made operational in the present. This use of future states in the present tends to invert the historical arrow of time locally (Coveney and Highfield 1990;Dubois 1998;Prigogine and Stengers 1988). However, this reflexive inversion operates in history and therefore leaves an empirically contingent footprint.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…However, the domains to be studied from this perspective are very different from biological or even psychological ones (Giddens, 1979). For example, it could be shown-using the logistic equation (which can be used for modeling processes of growth and decline in biology) and its equivalent formulation in the hyper-incursive domain (Dubois, 1998)-that the biological and sociological domains are separated at the value of four of the so-called bifurcation parameter, and that this separatrix can only be crossed by invoking an incursive routine, that is, a psychological cogitans or human agency (Leydesdorff & Franse, 2009). Human beings having both a body and a mind are able to participate in both domains.…”
Section: The Processing Of Meaning and The Computation Of Anticipationmentioning
confidence: 99%
“…How can one understand the different communication processes of information, meaning, and knowledge, and their possible interactions? I shall argue that the theory and computation of anticipatory systems have provided us with means and methods to understand these processes as different in terms of recursions, incursions, and hyperincursions (Dubois, 1998); these new insights can be elaborated into empirical research about systems which generate redundancies instead of (Shannon) entropy (Leydesdorff, 2010a). Using Shannon (1948, at p. 3) provided a lucid distinction of meaning from information at the beginning of his paper entitled A Mathematical Theory of Communication:…”
Section: Introductionmentioning
confidence: 99%
“…The concepts of Rosen's anticipatory systems, has been supplemented by the ideas of incursion (inclusive or implicit recursion) and hyperincursion (incursion with multiple solutions) developed by Dubois [51].…”
Section: "Hard" and "Soft" Complexitymentioning
confidence: 99%