The paper deals with the ever growing fragmentation of our self-determination, which is due to the atomizing of human activities. This leads to the difficulties in our being integrated into the continuum in life practices. The connections between psychological and sociological aspects of identity and a particular conception of values, especially that of the values of a person, and good life is questioned. The question is, if in the conditions of plurality of values, the ideas of identity, continuity and coherent personal identity are plausible at all. We witness a destructive influence of contemporary culture upon the narrative structures of our lives and their narrative cores, i.e. our 'Selves'.