Let a map each mind in mindspace to how aligned it is. We are trying to optimize a. To that end, lemmata are helpful which talk about the shape of mindspace. That’s why we try to call it a space even before defining what category C it lives in.
To optimize a function, start with a diverse enumeration of its domain. The deontological enumeration covers all others with constant-factor overhead, but the consequentialist enumeration gives us more properties to work with.
Every mind m has an implicit utility function u(m). a factors through u as a function, but not as a continuous function, let alone a C-morphism. That’s why we’ve recently moved away from explicit utility maximizers.
Use mathematical language to tell our story! Then we might guess where it’s going.
[Question] What shape has mindspace?
Epistemological status: Babbling.
Let a map each mind in mindspace to how aligned it is. We are trying to optimize a. To that end, lemmata are helpful which talk about the shape of mindspace. That’s why we try to call it a space even before defining what category C it lives in.
To optimize a function, start with a diverse enumeration of its domain. The deontological enumeration covers all others with constant-factor overhead, but the consequentialist enumeration gives us more properties to work with.
Every mind m has an implicit utility function u(m). a factors through u as a function, but not as a continuous function, let alone a C-morphism. That’s why we’ve recently moved away from explicit utility maximizers.
Use mathematical language to tell our story! Then we might guess where it’s going.