I think Kevin Van Horn’s introduction to Cox’s theorem (warning: pdf) is exactly what you’re looking for.
(If you read the article, please give me feedback on the correctness of my guess that it addresses your concern.)
I think Kevin Van Horn’s introduction to Cox’s theorem (warning: pdf) is exactly what you’re looking for.
(If you read the article, please give me feedback on the correctness of my guess that it addresses your concern.)