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Kawoomba comments on Failed Utopia #4-2 - Less Wrong
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I probably would say that that is because your two sets A and B do not carve reality at its joints. What I think army1987 intended to talk about is "real" sets, where a "real" set is defined as one that carves reality at its joints in one form or another.
There will be some real sets that are similar to Nominull's (well, natural numbers are a subset of reals, eh?), however army1987 did emphasize the any, so Nominull's correction was well warranted.