The article presents a comparative analysis the views on the problem of personality identity by Neo-Lockeanism (Shoemaker, Riding Helmets Parfit, Lewis) and Animalism (Olson, Snowden, Carter).A certain of main objections to the psychological criterion (the problem of too many thinkers, the too many persons problem, the thinking parts Potentiometer problem, etc.) are critically examined.
Basic animalist intuitions are refuted by the embodied person view (McMahan).