 Thomson pointed out that this argument is not very helpful without an interpretation of what lamp-state is represented by ½. We want to know if the lamp is on or off; saying that its end state is associated with a convergent arithmetic mean of ½ does little to answer the question. However, this approach to resolving the paradox has still been pursued, for example by Pérez Laraudogoita, Bridger and Alper (2002) and by Dolev (2007).