Aristotle view of the self is that whilst we do have a soul, it dies when our body dies. This is seen by many as a more scientific/rational view because of the idea of materialism. We are only our physical bodies, and that there is no separate part of us containing the soul, which contains personal identity.
Dualism
The belief that there is a "soul" within the body
Aristotle does not believe in the afterlife or the immortality of the soul, but is still is a dualist