There are two gods.  One god lives on the highest mountain and showers manna on the land
below.  The other god lives on the coldest mountain (which is not the highest) and hurls
thunderbolts.  Each god is omniscient in a very particular sense.  He knows the truth-values of all
non-indexical sentences.  (e.g. he knows the truth value of 'there is a god on the highest
mountain' but not of 'I am the god on the highest mountain.')  Can either of the gods deduce the
truth-values of any indexical sentences?  Could either god work out which of the two gods he is?