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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeApr 25th 2016
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   Author: Mike Shulman
   Format: MarkdownItexCreated [[intercategory]].

   Created intercategory.

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 26th 2016
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   Author: David_Corfield
   Format: MarkdownItexAnother creature in what you called the "zoo of higher categorical structures”. Is there some [Linnaean taxonomy](https://en.wikipedia.org/wiki/Linnaean_taxonomy) to help us put 'intercategory', 'equipment', etc. in their proper places?

   Another creature in what you called the “zoo of higher categorical structures”. Is there some Linnaean taxonomy to help us put ’intercategory’, ’equipment’, etc. in their proper places?

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeApr 26th 2016
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   Author: Mike Shulman
   Format: MarkdownItexUnfortunately not. A somewhat more systematic name for "equipment" that I've used in one place is "fibrant double category", or with even more potential for generalization "fibrant 1x1-category", but in addition to being longer that doesn't carry the same connotation. The most systematic name I can think of for "intercategory" would be something like "laxly interchanging pseudo triple category", and you can see why they wanted a snappier name for something important.

   Unfortunately not. A somewhat more systematic name for “equipment” that I’ve used in one place is “fibrant double category”, or with even more potential for generalization “fibrant 1x1-category”, but in addition to being longer that doesn’t carry the same connotation. The most systematic name I can think of for “intercategory” would be something like “laxly interchanging pseudo triple category”, and you can see why they wanted a snappier name for something important.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 26th 2016
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   Author: David_Corfield
   Format: MarkdownItexI see. Not too catchy.

   I see. Not too catchy.