 Asymmetric necessitation appears to be insufficient for non-fundamentality, however, as is reflected in standard concerns that supervenience is too weak to guarantee nothing-over-and-aboveness (see, e.g., Horgan 1993 and McLaughlin and Bennett 2005). Nor is asymmetric necessitation necessary for the holding of a priority relation, as Fine’s (1994) case of Socrates and the singleton set of Socrates shows. As such, one can reasonably deny that the asymmetric necessitation of determinables by determinates establishes that determinables are less fundamental than determinates.