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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 26th 2011

    I added remarks on Cauchy completion to the Properties-section both at proset and poset.

    Also made more explicit at poset the relation to prosets.

    I notice that at proset there is a huge discussion section. It would be nice if those involved could absorb into the main text whatever stable insight there is, and move the remaining discussion to the nForum here.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeJul 28th 2011
    • (edited Jul 28th 2011)

    I dislike the introduction of yet another strange abbreviation “proset”. I have hard time remembering that. I knew what is partially ordered set in 5th grade elementary school, while I learned the abbreviated word “poset” about the time I got my PhD (that is roughly two decades later). Moreover those witty abbreviations are language specific, and will be hardly known by foreigners. Unless it is very important, when I see an unknown word I do not google for it, I simply jump over and read further. When the density of such is hi, I abandon the article.

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeJul 28th 2011

    But Zoran, other people use that word, and anyway people like you who don’t remember it or recognize it will want to have a handy page available to look up the definition. You might not like the abbreviation (so don’t use it), but it is appropriate for the nLab to describe what the word means.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeJul 29th 2011

    One thing is to mention it and have it and another is to promote it.

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeJul 29th 2011

    Is it being promoted? I can’t tell. I don’t think I use this terminology (at least, not much), but perhaps other regulars here do.

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeJul 29th 2011

    I don’t use it, and I’d never heard of it until Toby (I think) brought it up. I often say just “poset” to mean a preordered set (since it’s the same thing up to equivalence of categories, anyway), or “preorder” or “preordered set” if I need to make the distinction.

    • CommentRowNumber7.
    • CommentAuthorTobyBartels
    • CommentTimeJul 29th 2011

    FYI: The name of the article is “preorder”; “proset” is a redirect.