Dear Roger, I am most interested in a detailed discussion of the

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1) "preestablished harmony" 2) reflections or images 3) Tree-like structure 4) whatever might be "exterior" to a monad. On 9/2/2012 2:19 AM, Roger Clough wrote:

*Toward emulating life with a monadic computer* ** In a previous discussion we showed that the natural numbers qualify as Leibnizian monads, suggesting the possibility that other mathematical forms might similarly be treated as monadic structures. At the same time, Leibniz's monadology describes a computational architecture that is capable of emulating not only the dynamic physical universe, but a biological universe as well. In either case, the entire universe might be envisioned as a gigantic digital golem, a living figure whose body consists of a categoricalnonliving substructure and whose mind/brain is the what Leibniz calledthe "suprememonad". The supreme monad might be thought of as a monarch, since it governs the operation of its passive monadic substructuresaccording to a "preestablished harmony." In addition, each monad inthe systemwould possess typical monadic substructures, and possibly further monadic substructures wuithin this, depending spending on the level of complexity desired.Without going into much detail at this point, Leibniz's monadologymight be consideredas the operating system of such a computer, with the centralprocessing chipas its supreme monad. This CPU continually updates all of the monads in the system according the following scheme. Only the CPU is active,while all of the sub-structure monads (I think in a logical, tree-likestructure) are passive.Each monad contains a dynamically changing image (a "reflection") ofall of theother monads, taken from its particular point of view. These arecalled its perceptions,which might be thought of as records of the state of any given monadat anygiven time. This state comprising an image of the entire universe ofmonads,constantly being updated by the Supreme monad or CPU. In addition tothe perceptions, each monad also has a constantly changing set ofappetites.And all of these are coorddinated to fit a pre-established harmony. It might be that the pre-established harmony is simply what is happening in the world outside the computer. Other details of this computer should be forthcoming.

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