Some of you are still having trouble about when to say “soul” and when to say “person” or “self” or “you” — we can treat these last three as interchangeable, but using them is importantly different from using “soul.” Certain theorists would say that persons are souls, but these words don’t mean the same thing. Other theorists think that persons exist but souls don’t; still others think that one person could have multiple souls. These people aren’t contradicting themselves or speaking nonsense. Try to think carefully about when you should be writing “person” and when you should be writing “soul.” For example, Gretchen doesn’t believe that one’s soul dies with one’s body. She thinks that one’s person (or self) dies then. She doesn’t believe we have souls, though for most of the dialogue she’s willing to pretend we do for the sake of argument. I think she’d say if souls exists, she has no idea what they do when bodies die.
Related to this is when to use “mind.” It’s unclear whether minds are properly understood as objects. So we can’t take it as given that you are your mind, nor that your mind is your soul. Different philosophers (even philosophers who believe in souls) will talk about minds in different ways, and have different views about what minds are.
What makes someone a “dualist”? This label is applied to philosophers who think we have souls, which are immaterial substances that have our thoughts and feelings. Some dualists will say that you are identical to your soul; these dualists will deny that your body is part of you. Instead it’s just a physical vehicle that you control. Other dualists will say that when you have a body, your body is part of you. Some of them will even say it’s an essential part of you, that is, you are a combination of a body and a soul, and cannot exist without either part. Other dualists can take the Lockean position Gretchen describes in Perry’s First Night. They’ll say you need a soul to have thoughts and feelings, but you can survive having your soul replaced. All of the views described here are things that one can say, while still being a dualist. You shouldn’t offer any of the things that dualists disagree about as being definitions of dualism.
Here are what I see as the main elements of the different passages you were summarizing. An ideal summary would identify each of these, and explain them clearly and in your own voice.