Dear Terry and colleagues,
I read the discussion paper with interest. Much of it makes sense to me, but I am not sure whether I follow everything. Thank you for this contribution. My main interest is with the special case (p. 8) of non-passive information media; particularly in the relation to psychological systems, and social and cultural ones. In the latter, perhaps even more than the former, one can begin to see the contextual conditions to interact among themselves; for example, when expectations are expected such as in the double contingency among reflexive persons. As Parsons expressed it: Ego expects Alter to entertain expectations about Ego and Alter such as one’s own ones. It seems to me that the systems then are layered: biological ones on top of physical ones, but with a teleogical dimension of the entropy (or a next-order loop, in other words); psychological ones on top of some biological systems; and social and cultural ones processing exclusively in terms of references (e.g., symbols). The time-subscripts of expectations refer to a next moment in time (t+1). In the theory and computation of anticipatory systems one finds the further distinctions between systems which refer both to their own past and their own current or next state, and systems which operate exclusively in terms of expectations of next-moment of time states. The former are considered incursive, whereas the latter are hyper-incursive ones. One can easily write the equations, and then it is obvious that the dynamics are very different from biological systems. Hyper-incursive systems operate against the arrow of time. Whereas the teleological dimension is only one among various dynamics in the case of biological and psychological systems, an additional degree of freedom is available when the teleological constraints can interact among them such as in the case that different value systems collide to various extents. For example, political discourse entertains meanings with a codification different from scholarly discourse. Since these hyper-incursive systems operate entirely with reference to future states (in terms of models), they generate redundancies instead of Shannon entropy, by enlarging the set of possible states continuously. The psychological carriers of these exchanges of expectations relate the redundancies thus generated reflexively to their teleology as discussed in your paper. In summary, it seems to me that you perhaps too easily jump from biological teleology to next-order systems and thus introduce a biologism in studying the dynamics of references. The substrates of mediation can change with each turn. One can perhaps distinguish the system layers by answering the question of what is mediated (how and why) in each layer? For example, a biology is generated when molecules are exchanged instead of atoms (as in chemistry). The dynamics of the physical medium at the bottom lose relevance when one moves upwards, whereas the Shannon-dynamics remains relevant since statistical, potentially also with reference to next-order media. However paradoxical this may sound, one can study the variation of the redundancy generation or, in other words, the interactions among the conditions, using entropy calculus because the latter is not constrained to the physics domain. Thus, your distinction of the Shannon and Boltzmann entropies provides room for a wider use of the Shannon entropy. Let me posit that the specification of the medium in terms of what is communicated (atoms, molecules, words, meaning, etc.) provides us with room for each time a special theory of communication; for example, the communication of molecules in a biology, whereas the mathematical theory of communication (Shannon, etc.) enables us to specify the differences and similarities among the special theories. This is a rich source of heuristics and algorithms. I sense a tendency in your discussion paper to ground all the theory in physics (thermodynamics) as a meta-theory or grand theory of communication. Is this erroneous? Can the special cases further develop with a next-lower level as the noise generating medium? Best, Loet Leydesdorff Professor Emeritus, University of Amsterdam Amsterdam School of Communications Research (ASCoR) Honorary Professor, SPRU, <http://www.sussex.ac.uk/spru/>University of Sussex; Visiting Professor, ISTIC, <http://www.istic.ac.cn/Eng/brief_en.html>Beijing; Visiting Professor at Birkbeck, University of London; Guest Professor Zhejiang University, Hangzhou; http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en
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