That was the Aelfinn, not Min. Min said Alivia will help him die, and she said that 'you and another man...touched, and seemed to merge...one of you dies, but the other doesn't'. I think that's exact wording but I'm feeling lazy; point is, these are the only viewings she's had about his death (the second being debatable) aside from the pyre/bier ones. Also, if the 'live' part is to mean something other than him coming back to life, then it probably refers to the cycle of rebirth (which would be destroyed along with the Pattern if the Dark One were to win), rather than his children.