Eh, that point probably was a bit weak. I probably could’ve just gotten away with saying ‘you are required to choose a box’. Or, come to think of it, ‘failure to open the white box and investigate its contents results in the automatic opening and deployment of the black box after X time’.
Or, for that matter, just left it at “Omega will kill you outright”. For flavor and some gratuitous additional disutility you could specify the means of execution as being beaten to death by adorable live puppies.
I observe that there have been many human utility functions where people who would prefer to be killed than to make choices offered to them that would keep them alive. So if the intention in the problem is to get you to choose one of the boxes, offering the 3rd choice of being killed doesn’t make sense.
Or, for that matter, just left it at “Omega will kill you outright”. For flavor and some gratuitous additional disutility you could specify the means of execution as being beaten to death by adorable live puppies.
I observe that there have been many human utility functions where people who would prefer to be killed than to make choices offered to them that would keep them alive. So if the intention in the problem is to get you to choose one of the boxes, offering the 3rd choice of being killed doesn’t make sense.