Etymology of "category"pic.twitter.com/J7TNugGI6H
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“category” activates a particular context involving what one might call “big” categories of mathematical objects, e.g. groups, rings, topological spaces. working with “little” categories such as BG for a group G feels quite different - “categories *as* mathematical objects”
the big / little boundary isn’t sharp and there are examples that straddle it like the poset of subobjects of a given object. “web” might not be a bad name for categories that specifically evokes the “little” context, i like “category” fine for the “big” context
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My problem with the term "category" is that it sounds like it's just a set. In everyday English, category is literally a synonym of "set". "Web" is actually a lot better in this regard, but it sounds a bit naff.pic.twitter.com/2hA5CryOyY
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"Web" and "web theory" sounds ok. I definitely don't hate it
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