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Apr 8, 2016 at 18:07 comment added Vidit Nanda So is the pro-proset set empty?
Apr 8, 2016 at 17:45 comment added Todd Trimble To be fair, the nLab does remark on prosets vs. pro-sets (the latter being used for pro-objects). I'm not sure that the nLab is alone in this particular naming; perhaps it's trying to be descriptive of a usage, not prescriptive in the manner of suggesting that other people use it. But I can make a pretty good guess where it comes from: it is by way of rhyming with "poset" (partially ordered set), "woset" (well-ordered set), "loset" (linearly ordered set) and "toset" (totally ordered set). [I never say "proset" myself.]
Apr 8, 2016 at 17:43 comment added Benjamin Steinberg I agree. I'm just pointing out both are in use.
Apr 8, 2016 at 16:56 comment added Qiaochu Yuan I quite dislike both "pre" and "quasi" as prefixes for more general versions of things (especially when they're used to name the more fundamental concept, which I think is the case here), but of the two I prefer "pre" because it's shorter.
Apr 8, 2016 at 16:54 comment added Benjamin Steinberg Some people also say quasiorder.
Apr 8, 2016 at 16:38 vote accept Dmitry Vaintrob
Apr 8, 2016 at 16:38 history edited Qiaochu Yuan CC BY-SA 3.0
added 116 characters in body
Apr 8, 2016 at 16:29 history answered Qiaochu Yuan CC BY-SA 3.0