I'm kind of conflicted. I highly doubt that we have souls, and yet I think we do.
Not to be depressing, but my grandfather passed away last month. After being in the hospital and comatose for nearly three weeks with no real hope of recovery, my grandmother decided to take him off life support. I was there for his final moments, and after he passed, it felt like the room had become empty. It might've just been my emotions getting to me, but I couldn't feel his presence anymore. I sat there for about half an hour and the more I stared at his body the more it felt as though I wasn't really looking at anybody I knew. The grandfather I had known was gone, and all that remained was his cast-away shell.
Like I said, that very well could've been me just being emotional during the moment. I am an atheist, but it's hard to say that I didn't feel something leave him in those moments. So while I really don't believe in them, I would like to think that I'm wrong.