https://en.wikipedia.org/wiki/Utility_representation_theorem https://en.wikipedia.org/wiki/Utility_representation_theorem "In economics, a utility representati

https://en.wikipedia.org/wiki/Utility_representation_theorem https://en.wikipedia.org/wiki/Utility_representation_theorem "In economics, a utility representation theorem asserts that, under certain conditions, a preference ordering can be represented by a real-valued utility function, such that option A is preferred to option B if and only if the utility of A is larger than that of B." You may challenge the assumptions but otherwise it's mathematics.