I am not sure about this, but seems to me that in both cases it is the same person. Only in scenario 2 we have two copies that start to diverge at that point; so they are both continuations of the old one, but are not the same as each other.
This does not have a good equivalent in our intuition, because we usually don’t “branch” this way. But you can imagine a magic spell that creates two identical humans from you. Both are you, but from the moment of copying, they start evolving differently, so after some time it is just like two twins, having a shared memory from before that moment.
I am not sure about this, but seems to me that in both cases it is the same person. Only in scenario 2 we have two copies that start to diverge at that point; so they are both continuations of the old one, but are not the same as each other.
This does not have a good equivalent in our intuition, because we usually don’t “branch” this way. But you can imagine a magic spell that creates two identical humans from you. Both are you, but from the moment of copying, they start evolving differently, so after some time it is just like two twins, having a shared memory from before that moment.