The answer to the title question which I want to defend in this paper is ‘none’. That is: I doubt strongly that the notion of ‘a self’ has any use whatsoever as part of an explanans for the explanandum ‘person’.Put another way: I shall argue that the question itself is misguided, pointing the inquirer in quite the wrong direction by suggesting that the term ‘self’ points to something which can sustain a philosophically interesting or important degree of reification.