Does the absence of cheese define a hamburger? Preposterous! Why then, is there no such thing as a "double hamburger"? The Dust Machine makes the case:

if i want unsweetened tea, do i order 'sweet tea without sugar?' no. if i want a sausage biscuit, do i order a 'sausage and egg biscuit without egg?' no.

My dear old dad is a "hamburgers only" guy who loves the Wendy's 99¢ menu. He consistently orders the Junior Cheeseburger Deluxe with "cheese on the side." This has provoked quite a bit of a dialog between us in which I insist that he can simply order it sans cheese and he firmly believes this will invalidate the price. So then, the man ends up every time with a Junior Hamburger Deluxe (fictional item) and a slice of cheese on a Styrofoam plate.