The idea that there is such a thing as analogue computation is a classic oxymoron. The logic of the digital is computation and vice versa. (Now let's see how quickly this thread devolves.)
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By this reasoning not only analog computers but all of mathematics is based on the principles of digital computation. One is left wondering what you could possibly imagine these principles to be.
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Not really. This is just a historical example to use your own term. The issue that wether all math can be seen as computation is not important, what is important are the deep foundational correspondences between mathematical structures and computation.
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Only when Copernicus and Kepler made those equations explicit in line with the observational data which was available, they noticed even the Ptolemaic system was functioning according to equations of motions but extremely haphazardly as they had no idea what these equations imply
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