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Mar 8, 2020 at 16:38 comment added Aidan Rocke You may be interested in the historical note that I added to the question as well as this paper on brain computation: igi-web.tugraz.at/PDF/LNCS-10000-Theories_006_v1.pdf
Mar 8, 2020 at 15:08 comment added Michael Engelhardt ... it may well be that our understanding of both systems A and B, and therefore the construction of the mapping necessary for computation, hinges on using derivatives, even if system B does not "perform derivatives" in the traditional general purpose computer sense.
Mar 8, 2020 at 15:01 comment added Michael Engelhardt This is an excellent answer, because it finally brings into focus the question of what we mean by computation. One way to think of it is that we, as humans, arrange two physical systems to behave in ways that can be mapped into each other: Say we are trying to predict what system A will do. If we can arrange system B to do the "same" thing, then by observing system B, we can predict A. B could be a traditional general purpose computer, but doesn't have to be. Now, there is no reason for us to hobble ourselves in performing the mapping by, say, outlawing derivatives ...
Mar 8, 2020 at 11:16 history edited Mozibur Ullah CC BY-SA 4.0
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Mar 8, 2020 at 11:06 history answered Mozibur Ullah CC BY-SA 4.0