In his ‘anti-zombie argument’, Keith Frankish turns the tables on ‘zombists’, forcing them to find an independent argument against the conceivability of anti-zombies. I argue that zombists can shoulder the burden, for there is an important asymmetry between the conceivability of zombies and the conceivability of anti-zombies, which is reflected in the embedding of a totality-clause under the conceivability operator. This makes the anti-zombie argument susceptible to what I call the ‘Modified Incompleteness’, according to which we cannot conceive of scenarios. (...) In this paper I also argue that conceiving of the zombie-situation is a good starting point for rendering the zombie argument plausible. (shrink)