This commentary adds some ideas and refinements to the inspiring discussion in a recent paper by Connolly (2015) that makes use of a dual-aspect framework developed by us earlier. One key point is that exceptional experiences (of which synchronicities are a special case) cannot in general be identified with experiences of non-categorial or acategorial mental states. In fact, most exceptional experiences reported in the literature are experiences of categorial states. Conversely, there are non-categorial and acategorial states whose experience is not exceptional. Moreover, the psychodynamics of a synchronistic experience contain a subtle mesh of interacting processes pertaining to categorial, non-categorial and acategorial domains. We outline how this mesh may be addressed in particular cases of synchronicity described by Connolly.