Looking at the
list of names on Lostpedia (not sure if all of the lighthouse names have made it up there yet...actually I know they haven't because Wallace at 108 isn't listed_ a couple observations:
1. Miles is alive, but his name is crossed out. Last we saw Rose, she was alive and her name is crossed out, though we don't know what happened to her and Bernard after the bomb/flash. Claire's name is also crossed out, questionable whether she should be counted as "alive"
2. Kate is the only name that isn't crossed out that has a number that isn't one of The Numbers.
I'm racking my brain, I forget how Jack learned that Claire's his sister.