Narrative identity for Ricoeur is intended as a kind of mean between ordinary logical identity or sameness, which he calls idem identity, and a kind of mediated reflexivity, which he calls ipse identity. Ordinary logical identity is rigid and static, but worse than that, it is often taken for granted. On the cutting edge of its home ground of mathematics, however, it has become recognized that criteria for logical identity of each type of thing need to be explicitly defined. Logical identity then effectively reduces to isomorphism. Sameness effectively reduces to sameness of form, and Leibniz’s thesis of the indiscernability of indiscernability and identity is vindicated.
I have argued, however, that Aristotle’s notion of identity as applied to so-called “substance” not only implicitly anticipates this thesis of Leibniz, but also ultimately circumscribes it with a further processual dimension accommodating continuity through change over time. Independent of the considerations of narrative developed by Ricoeur but potentially interpretable in similar terms, the “identity” of a “substance” for Aristotle is already extended to continuity through change. This kind of situationally appropriate, delimited relaxation of identity criteria allows Aristotle to accommodate “realistic” nuances in the application of common-sense reasoning or material inference that cannot be justified by purely formal logic. Judgments of real-world “identity” are practical judgments, with all the usual caveats.
While Aristotle was very process-oriented, the processes with which he was concerned were short- and medium-term processes, generally not extending beyond the scope of a life. History for Aristotle is mainly an accumulation of accidents, and thus in Aristotle’s sense intelligible mainly in the register of materiality. To the extent that he thinks about history, he treats it in terms of delimited “histories” rather than an enveloping “History”.
Within that accumulation of accidents, however, we can potentially explicate other levels Aristotle left unexplored, like Ricoeur’s historical explanation or Foucault’s “archaeology”. Foucault developed a meta-level account aimed at articulating underlying forms implicit in something like Aristotle’s delimited accumulations of accidents, while I think that after the detour of historical explanation, Ricoeur ultimately wanted to cultivate signposts for an enveloping “History” as metaphors expressing a broader “meaning of life”. In a very general way, Ricoeur’s aim thus resembles Brandom’s “Hegelian genealogy”.