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There's work on so-called "hypercomputation" that might relevant to the author's project: https://en.wikipedia.org/wiki/Hypercomputation

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This just came up on a separate recent HN thread... the fictional hypercomputer: "I Don't Know, Timmy, Being God Is a Big Responsibility" by qntm: https://qntm.org/responsibility

Also see Supertasks, https://en.wikipedia.org/wiki/Supertask

VSauce is a little silly, but genuinely does have great content packed in his videos, and he has one on Supertasks: https://youtu.be/ffUnNaQTfZE

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