Sometimes a fact can play a role in a grounding explanation, but the particular content of that fact make no difference to the explanation-any fact would do in its place. I call these facts vacuous grounds. I show that applying the distinction between-vacuous grounds allows us to give a principled solution to Kit Fine and Stephen Kramer's paradox of (reflexive) ground. This paradox shows that on minimal assumptions about grounding and minimal assumptions about logic, we can show that grounding is reflexive, contra the intuitive character of grounds. I argue that we should never have accepted that grounding is irreflexive in the first place; the intuitions that support the irreflexive intuition plausibly only require that grounding be non-vacuously irreflexive. Fine and Kramer's paradox relies, essentially, on a case of vacuous grounding and is thus no problem for this account.
Keywords Grounding · Paradoxes of ground · IrreflexivityInterest in the putatively explanatory relation of metaphysical grounding and, in particular, its "logic" has recently been the focus of much attention. 1 Grounding has often been taken to be a strict partial order-i.e. to be an irreflexive, asymmetric, transitive relation. However, there have been important challenges to the claim that 1 See [24] for a recent survey, [7,26,27] for the kick-off of the contemporary research program, and [23,26] for a defense of the coherence of the notion and that it is an explanatory relation.