Me, Myself, and I?

Me, Myself, and I? :

So for both atheists and theists out there, is there an overarching definition of personal identity, or is the answer based on who you ask?
Furthermore, how do you define yourself in such a way if that is taken away, one cannot call themselves same person that they were when they had that?
Ephemerae_inc.

"The differentiation between the mind and the sensory workings of the brain is what separates the concept of self from everything else, including the functioning of one's own body and brain. Whether this self concept is internal, that is supported by the activity of the brain, or imposed from some external source (God) will depend on who you ask.

Many who use Genesis as a source will aver that what God 'breathed' into Adam was the sense of self with the ability to reason about what one experienced, and not incidentally, the ability to separate a stimulus, that is hunger from the response, that is to decide what to eat. This ability to separate a stimulus from the appropriate response is what a theist will call a soul, and consider it to be separate from the body and ego and originating outside of either.

I find this a natural function of a brain of sufficient complexity. Right now I am training a puppy, and one of the things I am training him on is the appropriate responses to certain stimuli. And teaching him the concept of his space. This requires that I assume he has some ability to separate his actions from the stimulus that might lead him to leave his space. He has learned that his space is different from the space of others in his life. When someone leaves his rooms he must not follow as a dog normally would, he must stop at the edge of the rug which defines his space, and not pass the boundary.

My sense of self is much more complex of course, but includes the concept of my space, those things I can affect and respond to, and my ability to determine reliably and quickly appropriate responses to stimuli that affect my space. This includes of course other people who contact my space, and morality consists of how I respond to stimuli that they present. If someone smites me on the right cheek, I need to decide whether the natural response of a swift kick to the crotch is appropriate or not. But even the swift kick must be a reasoned response if I am to be comfortable with the self concept that separates me from all the others around me. The time a response is reactive to a stimulus is where I lose the sense of self and self control and become just another animal in the jungle."