 Another variety of logical pluralism results if we consider that there might be different correct logics for different kinds of truth-bearer, as is argued in (Russell 2008). Suppose that logical consequence is indeed a matter of truth-preservation over cases. Then we could coherently talk of truth-preservation relations on (sets of) sentences, on (sets of) propositions, or on (sets of) characters (as in Kaplan 1989) and ultimately on any truth-bearer whatsoever. This would not be very exciting if those logics all turned out to determine a single ‘parallel’ consequence relation, so that, for example, a sentence S1 had a sentence S2 as a logical consequence if and only if the proposition it expressed, P1, had the proposition expressed by S2 (P2) as a logical consequence. Russell uses various examples involving names, rigidity, direct reference, and indexicals to argue that this is not always the case. To take just one, on the assumption that the sentence a=b contains two different, directly referential names, a = b and a = a express the same proposition. Given the minimal assumption that the relation of logical consequence is reflexive, that means that proposition expressed by a = b is a logical consequence of the proposition expressed by a = a, even though the sentence a = b is not a logical consequence of the sentence a = a. Hence the relation of logical consequence on sentences is interestingly different from that of the relation of logical consequence on propositions, and there are at least two different, correct relations of logical consequence. 