It is stated, that information can't disappear even in black holes.
On the other hand, it is stated, that mystic beings, like Maxwell demons, can easily erase any information if they just pay with heat.
It seems to me that there is some contradiction here;
Suppose that the nature of Maxwell demon is that he is just intelligent black hole. He is observing molecules and controlling the door, while all obtained information is just drained under event horizon.
So, this demon will both work and not work at the same time.
What is the difference between "erasing" information with demon and disappearing of this information in black hole?
If "erasing" is reversible, then why is it called "erasing"? Reversible erasing is not erasing at all.
If "erasing" is irreversible and is available for demons, then what is the problem if it would be available to black holes?
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