Andrej Bauer - Models of intuitionism and computability
I got a bit lost there, ... but it does sound like there are a lot of things you can say about computability beyond just that "uncomputable functions exist". It also sounds like Andy Pitts doesn't like modal logic. I wonder what the quote was that he ended the talk with. I think it was something Jaap Van Oosten wrote somewhere. See Basic subtoposes of the effective topos (2013) by Sori Lee and Jaap van Oosten. Subscribe to De KNAW . Here's a May 2022 talk on the countable reals. Subscribe to Topos Institute . After listening to these two talks last night I dreamed that someone was explaining to me how you could build computational circuits using a kind of "coclocking". In this scheme the clock was an index into a type which was the successive ticks, and it meant that there was a notion of continuity in temporal evolution which was not the sort of thing Albert Einstein would have immediately understood. It was a really interesting dream! See David Alber...