http://en.wikipedia.org/wiki/Nihilism#Self-consistency_and_paradox
Self-consistency and paradox Nihilism is often described as a belief in the nonexistence of truth. In its more extreme forms, such a belief is difficult to justify, because it contains a variation on the liar paradox: if it is true that truth does not exist, the statement "truth does not exist" is itself a truth, [...]