Cox’s theorem states that any system of representing plausibilities that satisfies certain criteria of reasonableness must be structurally equivalent to probability theory.
Along with the Dutch book argument, Cox’s theorem is an argument for considering probability theory as a normative theory of reasoning.
Both links to “Dutch book argument” are broken.
Changed to the SEP article.
I think it never worked, the old LW wiki for Cox’s theorem has the same broken link.