The aim of the article is to present conceptual difficulties faced by a philosopher who studies death. It can be accepted only from a natural and logical point of view, while my own 'personal' death always remains inconceivable. Similarly, the image of life after death is an inscrutable intellectual puzzle. Moreover - contrary to the expectations expressed by some philosophers - there are hardly any chances to explore the essence of death during the process of dying. That stage of human life is not open to cognitive analysis.