Imagine that everyone in the world has a bizarre relationship with the truth and sleep. Everything they believe while asleep is
false, whereas everything they believe while awake is true. Consider Sting and Fiona.
Sting believes that Fiona believes that Sting is asleep.
Fiona believes that Sting is asleep.
Is Sting awake or asleep?
Is Fiona awake or asleep?
Since everything they believe while awake is true, both Sting and fiona are awake because Sting <em>believes</em> that Fiona believes that he is asleep, and Fiona <em>believes </em> that Sting is asleep: they just believe , in other words, they think those situations are true, correct, or real -- they don't dream about them -- so they are awake.