In our paper we attempt an examination of Hume's positive contributions to the problem of personal identity. In contrast to Penelhum, smith and others, we argue that Hume can and does make sense of the identity of persons through time, but that this identity is not perfect in nature. We argue that Hume presents a logical construction theory of the self. We explain how such a view accounts for our identity and individuality and why it conforms to the empiricist approach.