If you cut off your hand, you would just be a person without a hand. Your soul would not be in your hand but somewhere in the rest of your body/head. Now let's posit that your head got chopped off, maybe because you committed a bad crime and received an old-fashioned execution. Would you be the body without a head, unable to think or function? Or would you be the head that realizes that there is no body attached to it? Of course this realization would only be for a limited amount of time before blood does not reach the brain any longer and you couldn't think, but still.