Again, you don't know how to compute the function which creates the mapping, so you don't know the results, so you don't know how to sort the results. I don't f

Again, you don't know how to compute the function which creates the mapping, so you don't know the results, so you don't know how to sort the results. I don't follow the logic which claims your inability to compute something is now an intrinsic property to the resulting set. I do understand that sortability is a property intrinsic to integers.