Board Thread:General Discussion/@comment-33053086-20180323032603/@comment-14138255-20180722224712

Ozpin isn't the Avatar, he doesn't reincarnate every time he dies and is reborn each time, he is the same person with the same memories and motor memory as he was since his first existence. Likewise, Oscar is not explicitly his reincarnation either, he is/was his own person at this point, but he was like-minded enough to house Ozpin's 'spirit' as it were. If Oscar dies, Ozpin will be reborn, though I doubt him dying before he can properly fuze their memories would be healthy. And if Ozpin dies, there's a good chance Oscar would be fine, just incapable of accessing "Ozpin's" memories or just suffer amnesia. Him dying as too is a distinct possibility as well.