And if you try to use ordinal arithmetic then the addition won’t be commutative which leads to other problems.
You can represent this sort of value by using lexigraphically sorted n-tuples as the range of the utility function. Addition will be commutative. However, Cata is correct that all but the first elements in the n-tuple won’t matter.
You can represent this sort of value by using lexigraphically sorted n-tuples as the range of the utility function. Addition will be commutative. However, Cata is correct that all but the first elements in the n-tuple won’t matter.
Yes, you’re right. You can do this with sorted n-tuples.