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EphemeralNight comments on The "supernatural" category - Less Wrong Discussion
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I think there is a strict and useful definition of "supernatural" to be had, that suitably reduces the concept.
Take the game of life as an example. In the cell grid, the rules governing individual cells are the laws of physics. Those rules completely define natural phenomenon in that universe. It seems clear to me, then, that the definition of supernatural phenomenon points to operations on patterns of cells, IE, anything that edits the outputs of the natural rules.
For example, "Any live cell with two or three live neighbors lives on to the next generation." is natural, while "If glider for x iterations, then pulsar" is supernatural.