What matters for the continuation of self

What matters for the continuation of self? Does it really matter what personality traits or memories you have to be a continuation of the yourself?Superimmortality defines the self not as a personality but as any consciousness that you experience or will experience when they are produced. Two examples: lets say there is a body that produces your personality but you do not experience that consciousness, and a different body that produces a different personality with different memories and even a different self identity, which body is a continuation of you? If you do not experience a consciousness produced by a body it can not be you. Is it really necessary for you to have the same memories and self identity? If you all of a sudden get a brain injury or brain structure and functioning change and have amnesia where you loose your memories and you no longer know your name and information about yourself but yet can still experience life and make new memories, communicate and speak with others, have new and, or, the same skills and abilities, can this still be you and is this a you that is better than being dead?

It is often the case that we want clear distinctions in our understanding and knowledge. It is either A or not A. there is nothing in the middle. Superimmortality predicts that consciousness and ixperiencitness is not like this, they are like continuum concepts where there can be a percentage like identity in a consciousness and ixperiencitness. This is because there can be very gradual change in structure and functioning of the brain, thus a very gradual change in the consciousness and ixperiencitness produced by the brain.