Why There Cannot Be Transitivity With Respect to Supervenient Properties
Abstract
This paper presents an argument to the effect that the relation of exact
similarity with respect to properties that are supervenient cannot be
transitive. The point of departure is that, while a difference in respect
of supervenient properties entails a difference in respect of subvenient
properties, exact similiarity in respect of supervenient properties is
compatible with differences in respect of subvenient properties. It is
logically possible that two such sets of differences that each
individually is insufficient for a difference as regards the supervenient
property together are sufficient for such a supervenient difference.
This possibility claim is incompatible with the necessity claim entailed
by the transitivity of exact similarity. Several objections to this
argument are then considered.