The terms and concepts from which our identities are constructed are furnished by society - name, gender, appearance, vocabulary, behavior, habits and mores, preconceptions and beliefs, language, the whole of the individual’s experience, are all fundamentally and irreducibly social. You are part and product of the environment in which you participate. What is YOU is largely determined from what might traditionally be considered “outside” of you. The boundaries of the individual are set by society, and society teaches us to function with and within those boundaries in certain ways. Since we basically are what we do in the broadest sense, we then are what society makes us: all the options for what to do (and, by extension, who to be) are provided or assigned to us by our environments. And our environment is a social one. Thus who YOU are (and who “i” am) is a social exchange: in the ongoing act of identifying ourselves, we select, or merely passively accept, certain options supplied to us by . . . wait for it . . . society.
The immediate response to this proposition is usually that “society” is an abstraction, a mere collection of individuals, and it is only at the level of the individual (a discrete, self-contained, often self-determined, almost monadic unity) that we encounter any concrete reality upon which we can base our understanding. The problem with such a response, however, is that while our physical bodies may not be abstractions, our identities are (collections of prefab traits and characteristics, concepts and ideas - far from being unified, concrete objects) in very much the same way that society is an abstraction. In other words: both are, to put it in somewhat crude terms, constructs - but not really constructs, more transactions, give and take, pull and push, between what we learn to perceive as ourself, and the rest of our environments (in the case of your personal identity), or between individuals, institutions, and infrastructure (in the case of society).
So the individual, far from ever being self-determined (whatever that might mean) is the result of an ongoing process of exchange between, on one side, an object we call the person, planted, nurtured and distinguished (with no small degree of arbitrariness) by society, and on the other side, the environment from within which that person is originally distinguished and then taught to go on distinguishing hirself. The process is not one by which the person integrates itself into the environment (as the traditial individualist view would have it), but rather by which the person emerges from said environment. Even before we become individuals we are ALREADY integral to society because we and it are of the same stuff. We are, in essence, fragments or pieces of society synthesized and named.