For me, whether or not I'm me is an arbitrary line in the sand, a function of the mental and physical 'distance' or difference between copies. I think that's part of the point of the story - which version of the daughter is the daughter? Which one is close enough? You can't get it exact, so draw a line in the sand somewhere, according to your personal preferences and/or utility functions.

My line is apparently pretty unusual. I'm not sure I can define exactly where it is, but I can give you some use cases that are in the 'clear and obvious' category. Understand that the below is predicated on 1) I have extremely high belief that the box is creating 'good enough' copies and will not fail, and 2) the box has a failsafe that prevents me from destroying the last copy, if only one copy exists, and 3) it's better if there's a small number of copies, from a resource conservation standpoint.

• I step in the box and create another copy. I lose a coin toss, which means I get to do the bills and take out the trash, wheras the copy continues gets to do interesting work that is expected to be of value in the long run. In this case, I do the bills and take out the trash, then return to the box and destroy myself.

• In the above situation, I win the coin toss and begin doing interesting work. Later, my copy returns and tells me that he witnessed a spectactular car crash and rushed to the scene to aid people and probably saved somebody's life. His accumulated experience exceeds what I gained from my work, so I write down or tell him the most critical insights I uncovered, then return to the box and destroy myself.

• I step into the box and create a copy. One of us wins the coin toss and begins a major fork: the winner will dedicate the next ten years to music and performance. In a year, the two of us meet and discuss things. We've both had incredible experiences, but they're not really comparable. Neither of us is willing to step into the box to terminate, and neither asks the other to do so.

• Upon losing a coin toss, I take a trip to a third world country and am imprisoned unfairly and indefinitely for reasons beyond my control. The cost, time, and effort to fix the situation is prohibitive, and I do not have access to a destruction box. If possible, I communicate my status to my other copies, then commit suicide using whatever means necessary.

There are much more questionable cases between these, where the question of which one to destroy ends up weighting one against the other as best I can - but frankly if I had said box, I'd be very careful and strict about it, so as to keep the situations as clear as possible.