6. (10 points) There are 2015 beauties, each of whom is either an angel or a demon; angels always tell the truth, demons sometimes tell the truth and sometimes lie.

The 1st says: There is exactly 1 angel among us.
The 3rd says: There are exactly 3 angels among us.
The 2013th says: There are exactly 2013 angels among us.
The 2nd says: There are exactly 2 demons among us.
The 4th says: There are exactly 4 demons among us.
The 2014th says: There are exactly 2014 demons among us.

The last one says: You are so boring.
So, among these 2015 beauties, there are at most $\qquad$ angels.
【Answer】Solution: At most three.
Reason: Because the first 2014 all said different numbers, but if there is an angel, then the number said by the angel is absolutely true, so the beauty who says a number that adds up to 2015 with the number said by the angel might also be an angel, so there can be at most two angels among the first 2014. However, what the 2015th says can be either true or false, so if we calculate the maximum, there should be 3 angels.