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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 16th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded mentioning of the generalization of "empty function" to "empty morphism" as any morphism out of a strict initial object <a href="https://ncatlab.org/nlab/revision/diff/empty+function/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/empty+function/7">v7</a>, <a href="https://ncatlab.org/nlab/show/empty+function">current</a>

   added mentioning of the generalization of “empty function” to “empty morphism” as any morphism out of a strict initial object

   diff, v7, current

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 16th 2021
   • (edited Apr 16th 2021)
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexThere is a contradiction between what this entry says: > The empty function to the empty set is not a constant function. and what the entry [[constant function]] says: > More generally, any function f:S→T is a constant function if f(a)=f(b) for every element a and element b of S. In fact, [[constant function]] contradicts [[empty function]] even more directly: > If S and T are both empty, then the unique function from S to T is constant, but not constant at any particular value.

   There is a contradiction between what this entry says:

   The empty function to the empty set is not a constant function.

   and what the entry constant function says:

   More generally, any function f:S→T is a constant function if f(a)=f(b) for every element a and element b of S.

   In fact, constant function contradicts empty function even more directly:

   If S and T are both empty, then the unique function from S to T is constant, but not constant at any particular value.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeApr 16th 2021
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI guess [[constant function]] should be generalized to mention the two different notions of [[constant morphism]], and this page should say that the empty function is constant in one sense but not the other.

   I guess constant function should be generalized to mention the two different notions of constant morphism, and this page should say that the empty function is constant in one sense but not the other.