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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeJun 9th 2022
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexcopying article from HoTT wiki Anonymous <a href="https://ncatlab.org/nlab/revision/semantics+of+Set+in+homotopy+type+theory/1">v1</a>, <a href="https://ncatlab.org/nlab/show/semantics+of+Set+in+homotopy+type+theory">current</a>

   copying article from HoTT wiki

   Anonymous

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 9th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe first sentence does not type-check: > Sets in [[homotopy type theory]] behave a lot like the [[internal language]] of a [[topos]]. What you mean is something like: > The [[syntax]] for [[h-sets|sets]] in [[homotopy type theory]] behaves a lot like the [[internal language]] of a [[topos]]. <a href="https://ncatlab.org/nlab/revision/diff/semantics+of+Set+in+homotopy+type+theory/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/semantics+of+Set+in+homotopy+type+theory/2">v2</a>, <a href="https://ncatlab.org/nlab/show/semantics+of+Set+in+homotopy+type+theory">current</a>

   The first sentence does not type-check:

   Sets in homotopy type theory behave a lot like the internal language of a topos.

   What you mean is something like:

   The syntax for sets in homotopy type theory behaves a lot like the internal language of a topos.

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 9th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI am taking the liberty of truncating the title from *semantics of Set in homotopy type theory* to *Set in homotopy type theory*. Besides better matching the corresponding entry *[[Set]]*, and being less bulky as a title, this matches the title of the single reference that is given, and is not as directly in conflict with the idea offered in the Idea-section. <a href="https://ncatlab.org/nlab/revision/diff/Set+in+homotopy+type+theory/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Set+in+homotopy+type+theory/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Set+in+homotopy+type+theory">current</a>

   I am taking the liberty of truncating the title from semantics of Set in homotopy type theory to Set in homotopy type theory.

   Besides better matching the corresponding entry Set, and being less bulky as a title, this matches the title of the single reference that is given, and is not as directly in conflict with the idea offered in the Idea-section.

   diff, v2, current