Identity Begin the exploration of identity with a process - of identification. A process of creating boundaries between self and not-self, and identifications of self and 'other-like-me'.
Obviously, there is a broadly informational fundamental reality in play here; a rock is what it is, but has no identity to itself true or false. I identify as a shit hot philosopher, and that can be true or false; either way it is a belief held by either a shit hot philosopher or a self-deluded being.
You may identify me as a shit hot philosopher, a self-deluded being, or a dangerous radical or whatever, and your analysis of my identity is obviously heavily dependent on your own self- identification, and the identification of you made and communicated to you by significant others.
Thus real and fake, true and false, public and private are all valid aspects of an identity formed through multiple interactions, and clearly there are strong aspects of 'reality' to even completely unrealistic self-identifications that people make of themselves and of others. I can think I'm a very stable genius and live in the world as if that is true, even if a more truthful assessment is that I am a narcissist fantasist living a fantasy life.