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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJul 22nd 2022
   • (edited Jul 22nd 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexProdded by discussion [here](https://nforum.ncatlab.org/discussion/9331/thin-category/?Focus=101338#Comment_101338), I am creating <a href="https://ncatlab.org/nlab/show/relation+between+preorders+and+%280%2C1%29-categories">this little entry</a> in order to have one linakable place where the relation between the notions of 1. *[[posets]]* 1. *[[prosets]]* 1. *[[thin categories]]* 1. *[[truth-value]]-[[enriched categories]]* 1. *[[(0,1)-categories]]* are explained. (This is already mentioned in passing in a number of entries, but the above discussion showed that a coherent dedicated explanation had been missing, and I will now link to this new entry from all these places.) What I wrote so far is not meant to be exhaustive. If you have further subtleties to add in your favorite foundations, please feel invided to expand! <a href="https://ncatlab.org/nlab/revision/relation+between+preorders+and+%280%2C1%29-categories/1">v1</a>, <a href="https://ncatlab.org/nlab/show/relation+between+preorders+and+%280%2C1%29-categories">current</a>

   Prodded by discussion here, I am creating this little entry in order to have one linakable place where the relation between the notions of

   1. posets

   2. prosets

   3. thin categories

   4. truth-value-enriched categories

   5. (0,1)-categories

   are explained.

   (This is already mentioned in passing in a number of entries, but the above discussion showed that a coherent dedicated explanation had been missing, and I will now link to this new entry from all these places.)

   What I wrote so far is not meant to be exhaustive. If you have further subtleties to add in your favorite foundations, please feel invided to expand!

   v1, current