In this post and the next, I want to try out a new idea and see where it leads. It goes back to where magnitude began, which was the desire to unify elementary counting formulas like the ...

Jan 22, 2025 Warming up to a dual concept to magnitude, with an aside on a new connection between magnitude and entropy.

Example Let A be the category (0 → 1) consisting of a single nontrivial map. Then an object of SetobA is a pair (P0, P1) of sets, and an object of SetA is a function X0 f → X1 between a pair of ...