Answer:
Adored by few, feared and hated by many. Mistress of the entire universal reason, master in the art of numbers. Some may have solved many of my mysteries, but there are still many of them to find. What am I?
I have a mouth on my head and eat everything.
I wiggle and cannot see; sometimes underground and sometimes on a tree. I really don't want to be on a hook and I become a person when combined with “book”.
I can never be stolen from you. I am owned by everyone. Some have more some have less.
I saw the dead bring forth the living. I saw the living bring forth the dead. What did I see?
What never gets any wetter no matter how hard it rains?