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I think this phenomenon detracts from important debates about what kind of mathematics is most appropriate in certain fields. I think there's certain predictabl
by derbOac 4y ago
I think this phenomenon detracts from important debates about what kind of mathematics is most appropriate in certain fields. I think there's certain predictable regularities to be found in different fields, but the way they might best be modeled isn't always the same, and holding up more "reduced", lower level fields as examples becomes sort of a red herring in a lot of ways. It's one thing to point out that certain types of math are inappropriately reductionistic, or cannot be applied due to inappropriate axiomatic assumptions; it's another to outline an alternative.