A concept or, to be precise, its linguistic counterpart can be treated either extensionally or intensionally. The concept of identity follows exactly the same logic. The act of identification can be carried out effectively by reference to existing or imagined "exemplar(s)" without any explicit intensional characterization. A simple case of this kind is what we might call "mother-identity" or "mother-land identity." A person may consider himself a member of a community because that is where his mother is. This of course does not preclude the possibility that a through explanation can be advanced as to the reason why affection for one's mother, or one's mother-land, is extended to become affiliation to the community or culture that one's mother is in. The point is that the related and corresponding intensional characterization can be implicit, unconscious, or simply lost and forgotten. Identity, or identification, just like anything else, can be habit-forming. It may become less and less reflective and thought about and more and more habitual and intuitive in the long process of our mental development and performance of speech act.
On the other hand, the intensional identity commonly conceived involves the specification of characteristics that delineate, or shall we say define, this so-called the identity of (or an identity of) someone or something. However, let us point out at this juncture that intensional identity of this sort, namely the identity-of, as we may call it, is more of a gloomy logical dream than a happy empirical reality. There is no clear-cut essence of a kind, not to mention that of an individual. If we take an evolutionary stand that all individuals come and become, then they may retain only their nominal or logical "personal" identities. On the other hand, the species come and go, they lose their empirical "natural-kind"-hood. Existential identification through exemplars is everywhere, while essentialistic identity through intensionality is nowhere to be achieved. Examples constitute a loose "family" (Wittgensteinean family resemblance). They differ, one from another. This suggests that vague or fuzzy identities through the extensional identity-as and/or identity-with can go on and on with hermeneutical seriousness while clear and precise identities through intensional identity-of would, sooner rather than later, lose their essentialistic dignity.
From this point of view, it seems to follow that, among other things, the multiple-identity talks, if treated existentially rather than essentialistically, constitute a kind of speech act that would broaden our personal frontiers and enrich our cultural content. They help to change us as individuals, to reform our culture, and to reformulate the rules of our rationality, sensibility and humanity.