To many it seems obvious that any reduction of the nature of man to purely physical components involves an (at least) indirect attack on the doctrine of human immortality. To so reduce human nature, it may be argued, is to eliminate the soul and it is this essential component of man, rather than his body, which is the foundation of his immortality. This seems to me an altogether mistaken notion. My purpose in this paper, therefore, is to clarify the relation of physicalism and immortality and thereby to reveal the error in this alleged incompatibility.