Does anyone else find it interesting to consider the thoughts and beliefs we have personally held in the past and identified with as being who we are? But then to consider further that although the thoughts and beliefs we cherish today are different, if I still identify with them as who I am, I'm still the same schmuck with different beliefs.
It seems to me that we gradually change into a new and different person. Our selfhood seems continuous because of the memory trace, but old memories are gradually forgotten. We might say that we are reincarnated versions of our former selves.
Personal identity is quite an enigma. I lean toward thinking that our sense of self as a separate entity is an illusion.