Earlier quoted context omitted.
ok, I'll bite: algebraically logic is being and computation is becoming; how does this geometrically map into denotations and diffyqs?
You have something like this [1], where you have clear maps from the type theory world into the typed representation of software and the category map structures to Euclidean VM/difference EQ representation of software. This is classic Curry-Howard. And algebra/geometry split of being/becoming happens in both the type theory/category theory and typed program/difference equation relations. [1] - https://zmichaelgehlke.…
A * A->B
-------- f(x), where f:A->B and x:A
B
what does that interval map onto on the bottom of the square?
is the inverse map also interesting?Edit: are you familiar with Vicker's work? if so, would it help understand (I have it saved off but have not gotten into it yet) the content of the square? https://www.cs.bham.ac.uk/~sjv/talks.php