Today at the Arché grad conference Graham Priest entertained us with a fun talk on the logic of relativism.
Amoung other things, Graham considered the following problem that (some) relativists seem to face. Suppose you are the kind of relativist who thinks that as a relativist you should not make absolute claims (A), but only claims about what holds according to some perspective (SA - where S stands for 'syat', a Sanskrit term of art which apparently is used by Jains to mean something like 'from some perspective'). This gives rise to a regress: one should not assert SA absolutely but only the qualified SSA; not SSA but SSSA; and so on. It turns out nothing is assertible.
Graham proposed a system in which A and SA (and hence SSA, SSSA etc.) are all logically equivalent, and suggested that this would solve the problem, since whenever one asserts A one is thereby asserting (something equivalent to) SA, SSA and so on.
But I wondered how this proposed solution would work. The thought motivating the problem was not that the relativist should say SA as well as A, but that the relativist should say SA instead of A: that she was wrong to assert the unqualified A. If A and SA, SSA etc. turn out to be equivalent, the wrongness of asserting the unqualified A has not (for all that's been said so far) been removed. So for all that's been said so far, none of SA, SSA etc. are assertible because they are all equivalent to the unacceptable unqualified A.