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Chaotic computation implies the use of chaotic systems to perform computational operations. Chaotic computation offers a number of interesting possibilities, including the generation of out-of-the-ordinary computational hierarchies of capability states which may mirror those which characterize living systems. In this paper we examine the way in which this may possibly be achieved and note that this kind of hierarchy is inaccessible to computation via formal rationality. Nature appears to rule out the existence of otherthan chaotic highest-performance hierarchies except internally in living systems, and we suggest that this is a, or possibly the, primary characteristic of Nature's apparent stability. This, then, also suggests that an approach to chaotic computation may provide a route to reproducing artificially the global characteristics of living systems, including intelligence and consciousness, which are formally unattainable in digital computers.
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Cottam et al. (2019) studied this question.
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