I think it is useful to distinguish between Selfness in the sense of "identity" and selfness in the sense of "uniqueness." The Self as identity is the subjective conscious connection one has to one's own being or essence--selfhood taken in the sense of a property that is instantiated in a particular body or person. The self as uniqueness or individuality is the objective character of being a "this" that is discrete and unique. Philosophically this distinction was made on a more proto-self level as applying to all beings not just conscious ones: "Haecceity may be defined in some dictionaries as simply the "essence" of a thing, or as a simple synonym for quiddity or hypokeimenon. However, such a definition deprives the term of its subtle distinctiveness and utility. Whereas haecceity refers to aspects of a thing which make it a particular thing, quiddity refers to the universal qualities of a thing, its "whatness", or the aspects of a thing which it may share with other things and by which it may form part of a genus of things."--http://en.wikipedia.org/wiki/Haecceity An example in this case would be the thisness or haecceity of an apple being what makes it THIS apple as distinct from all others. The quiddity of that same apple would be it's instantiation of the essence or property "Apple". Again, it is the distinction between being a "this" and a "what." Lest we see the acquisition of haecceity or "thisness" thru out life as limiting, take the example of a fractal which forever unfolds new and unique variations of its fundamental quiddity or essence as its own iterative algorithm. A self in this sense would never be complete and yet forever manifest novel applications of its Self defined as its eternal mathematical essence.