Riley Baker - SUM-C Undergraduate Seminar - Shared screen with speaker view
Dat Ha
17:49
i think the horizontal arrows should've been \mapsto and not \to, since the vertical diagrams are not in the same category
Amir Kiani
24:03
Riley: What do you mean by "the logic of all type theories is constructive?"
Amir Kiani
25:41
In the type theories that you are working with, right? Because I thought that was a general claim about type theories
Amir Kiani
26:22
Thanks :)
Dat Ha
28:18
so a sum type is a coproduct ?
Amir Kiani
28:22
(Just for the record, I had in mind simple as well as ramified type systems -- typically their logic is classical. But you're point is right anyway.)
Dat Ha
55:07
can we define an internal logic to a category that doesn't have all finite limits, since in that case, we dont necessarily have a subobject classifer ?