My guess is I pass over and stay myself, but then I remember all these other people I was too, or experiences, and there must be a core that stays the same and it's attitudes and other changeable aspects of myself that undergo change, through the accrued accumulation of those experiences.
Going from some of what he says here too, I guess it means: in past lifetimes I was A, B, C and D*. In my current incarnation I'm not a separate E, I'm a person that combines A, B, C and D that I underwent, except I just don't remember those experiences. *So actually in the first lifetime I was A, then A plus, then A plus plus, then A plus plus plus, etc.