Imperfect identity of autonomous living system

We usually think that there is a clear cut between known facts and unknown facts. In category theory, this can correspond to equivalence of categories for partial map and pointed set. If this relation is satisfied, we implicitly ignore the difference of “before encoding” and “after encoding”. In this paper, we admit this discrepancy in the context of organizational endo-perspective, and make weak condition of equivalence of categories for partial map and pointed set to connect learning systems.