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Re:Some Fundamental Theorems in Mathematics (2019) [pdf] by efavdb on Wednesday August 05, 2020 @04:22PM (#24065129)
sorry don't have much more insight here. I think the goal is to generally make any approximation that isn't relevant to the physical behavior one is trying to model. if a pole sitting somewhere isn't related to the phenomenon you're trying to explore, ignore it!
Re:Some Fundamental Theorems in Mathematics (2019) [pdf] by pmiller2 on Wednesday August 05, 2020 @05:36PM (#24065899)
Great point. There are a ton of good models that break down in certain regions (e.g. quantum mechanics and general relativity at large and small physical scales, respectively).