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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeJun 17th 2023
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexcopied article from the michaelshulman wiki at [[michaelshulman:functor comprehension principle]] to the nlab wiki. C. Silva <a href="https://ncatlab.org/nlab/revision/functor+comprehension+principle/1">v1</a>, <a href="https://ncatlab.org/nlab/show/functor+comprehension+principle">current</a>

   copied article from the michaelshulman wiki at functor comprehension principle (michaelshulman) to the nlab wiki.

   C. Silva

   v1, current

2. • CommentRowNumber2.
   • CommentAuthormaxsnew
   • CommentTimeJun 17th 2023
   • PermaLink
   Author: maxsnew
   Format: MarkdownItexIs there a syntactic description somewhere of what the internal language of a regular category is?

   Is there a syntactic description somewhere of what the internal language of a regular category is?

3. • CommentRowNumber3.
   • CommentAuthormaxsnew
   • CommentTimeJun 17th 2023
   • PermaLink
   Author: maxsnew
   Format: MarkdownItexLooks like it's (somewhat sketchily) described here: https://ncatlab.org/michaelshulman/show/internal+logic+of+a+2-category#fragments_of_logic

   Looks like it’s (somewhat sketchily) described here: https://ncatlab.org/michaelshulman/show/internal+logic+of+a+2-category#fragments_of_logic

4. • CommentRowNumber4.
   • CommentAuthorvarkor
   • CommentTimeJun 17th 2023
   • PermaLink
   Author: varkor
   Format: MarkdownItex@maxsnew: have you seen Butz's [Regular Categories and Regular Logic](https://www.brics.dk/LS/98/2/BRICS-LS-98-2.pdf)?

   @maxsnew: have you seen Butz’s Regular Categories and Regular Logic?

5. • CommentRowNumber5.
   • CommentAuthormaxsnew
   • CommentTimeJun 17th 2023
   • PermaLink
   Author: maxsnew
   Format: MarkdownItexSorry, typo, I meant a regular *2-category* which is what is used in the linked article.

   Sorry, typo, I meant a regular 2-category which is what is used in the linked article.

6. • CommentRowNumber6.
   • CommentAuthormaxsnew
   • CommentTimeFeb 27th 2024
   • PermaLink
   Author: maxsnew
   Format: MarkdownItexAdd an idea section, relating it more directly to the function comprehension principle and also include another principle that I think is clearly deserving of the name "functor comprehension". This page should also eventually get merged with [[representability determines functoriality]]. <a href="https://ncatlab.org/nlab/revision/diff/functor+comprehension+principle/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/functor+comprehension+principle/2">v2</a>, <a href="https://ncatlab.org/nlab/show/functor+comprehension+principle">current</a>

   Add an idea section, relating it more directly to the function comprehension principle and also include another principle that I think is clearly deserving of the name “functor comprehension”. This page should also eventually get merged with representability determines functoriality.

   diff, v2, current

7. • CommentRowNumber7.
   • CommentAuthormaxsnew
   • CommentTimeFeb 27th 2024
   • PermaLink
   Author: maxsnew
   Format: MarkdownItexAlso found some material on the anafunctor page that could be moved here: https://ncatlab.org/nlab/show/anafunctor#anafunctors_versus_representable_profunctors

   Also found some material on the anafunctor page that could be moved here: https://ncatlab.org/nlab/show/anafunctor#anafunctors_versus_representable_profunctors