It's like that Star Trek episode, where the boys are being held captive by a race of androids, then they decide to get free by short-circuiting them with illogic. After doing a bunch of odd things, like Spock and Nimoy playing air violins, Kirk declares, "I am lying."

The chief android goes, "If you are lying, then it means that you are telling the truth... but if you are telling the truth, you are saying that you're lying, which means that you're lying.. which means that you're not lying, but... *bzzt* ... telling the truth... which means *bzzZ* that you're lying... whi... saaihA&#&(#QHA("