The algebra and calculus of algebraic data types
One thing I’ve been wondering is how to interpret the function types `Void -> a` and `a -> Void`, where Void is the uninhabited type (unique up to isomorphism). The number of inhabitants of those types should be |a|^0=1 and 0^|a|=0, respectively, but what does that mean? In real world, function(s) of type a->Void certainly exist, such functions being those that diverge (loop forever or halt via some non-local means).