No One Is Meaner and Uglier Than Gladys

Question 27
Essay

No one is meaner and uglier than Gladys. Someone is meaner and uglier than Harold. Therefore Gladys is meaner and uglier than Harold. Is this reasoning correct? If so, explain why. If not, explain why not. (Assume that people can be ranked from ugliest to least ugly by a complete transitive ordering and that there are no ties. Likewise assume that people can be ranked from meanest to least mean by a complete transitive ordering and that there are no ties.)