Here is a line of reasoning that is a frontal assault on extant (inadequate) AI paradigms conjoined with the question of 'self-organization' AND shining a light of awareness on -the important- Turing/computation question that .. comes AFTER .. the Halting Problem:

Self-organization .. which themata includes inside-to-out emergent productivity .. AND COVALENTLY .. sensitive adaptability to/with any/all external effective information and energy .. is one on one isomorphic with the one important behavior that comes after any resolution of a 'halting problem' - and therefore supercedes it: Can a (computational) system which 'halts' [for any reason whatsoever] .. restart or re-initiate itself? Even if to deal with or process an entirely different question or computation. There is no self-organization if there is an absense of capacity to function sans external inputs. The Halting Problem is a minor issue compared with "ReActivation Capacity?". But interestingly, because the question of ReActivation Capacity subsumes a greater scope of event space (information) than any given instantiation of the Halting Problem, there are more informational resources that can be brought to bear on 'the question', so essentially, the ReActivation Capacity issue is easier to answer - in the general, if not in the particular. Another way of juxtaposing the above questions is to bring in the relationship: relevance (opportunistic pertinence). If a computation would take longer than the age of the universe .. why would it/anyone bother instantiating the computation? It wouldn't just be a waste of energy, it would be an abuse of it. And any self-relevant system worth its own respect wouldn't engage in the effort. Self-organization - as a global themata - has to include additionally any and all co-habitation of any possible emergents coming out of self-organizing events (at and among any and all tiers of activities). And such products must be prior, current and forward, relatable .. in order for 'self-organization' to be a wholly self-consistent phenomenon. Therefore, Halting may or may not occur in given local event spaces, but, Activation/ReActivation -will- occur as long as relation and relational relevance is an a priori priority to 'existence'. Jamie Rose Ceptual Institute Feb 10, 2003