Personal identity asks what makes the person reading this the same person who existed twenty years ago. Almost every physical component has been replaced, most memories are gone, and much of the character has changed.

The candidates

Body. The same organism persists. The difficulty is that the matter is replaced continuously, and the intuition that you would go with your brain in a transplant suggests the body is not what we are tracking.

Memory. Locke proposed that a person is the same person as whoever they can remember being. The problem, raised by Thomas Reid, is transitivity: an officer remembers being a boy, a general remembers being the officer and not the boy, so the general both is and is not the boy.

Psychological continuity. The modern repair replaces memory with an overlapping chain of memories, intentions and character. It handles Reid's objection and inherits a harder one.

Nothing. Hume looked inward and found only perceptions, never the self having them — bundle theory. Derek Parfit developed the consequence: identity is not what matters, and questions about whether a future person would be you can be empty rather than unanswered.

Why the fission case decides it

Suppose your brain is divided and each half sustains a person, both psychologically continuous with you. They cannot both be you, since they are two. Neither is more entitled than the other. And nothing about your relationship to either is worse than ordinary survival.

Parfit's conclusion is that what we care about is the continuity, not the identity, and that the further question of whether it is really you rests on a mistake about what a person is.

What it touches

Whether punishment reaches the person who committed the act, what a promise binds, and why prudence about your own future is different from concern for someone else. See substance and free will.