Taking as my starting point Lynch's "A Functionalist Theory of Truth" (in The Nature of Truth, ed. Lynch, MIT: 2001, pp. 723-750). I want to bring up something I take to be a positive consequence for this view when it is conjoined to the view that to know the meaning of a declarative sentence is to know its truth conditions. First, let's take a gander at functionalism regarding truth.
To be a functionalist regarding truth is to hold that truth is whatever property plays a certain functional role in the discourse in question. The functional role that truth plays will be demarcated by a set of (a priori?) platitudes concerning truth, such as "The proposition that p is true if and only if p," and "every proposition has a negation," and so on. However, functionalism regarding truth is neutral with respect to the metaphysics of what particular property realizes truth's functional role in a given discourse. Some discourses, say those about medium sized objects, might require a robustly referential realization of truth, while others, say discourse about the law, might require some other kind of property the realization of which is the property of truth in that discourse. Lastly, the functionalist, for Lynch (in agreement, he says, with Wright), sees the platitudes as constituting our grasp of the concept of truth.
My reflections on this begin with the Davidsonian assumption that understanding a language consists in understanding its truth contitions as embodied in a finite theory of truth for the language in question. Now, it seems that these two positions, functionalism about truth and Davidson's thesis, are quite compatible. A restriction of a theory of truth for a language L is that it entail all and only the true T-sentences of the form: S is true if and only if P (where s is a description of an object language sentence and P correctly translates S). But T-sentences are a member of the set of platitudes of which Lynch speaks that specify the functional role of our truth concept. Adding the remaining platitudes (see p. 730 of Lynch) can then turn a theory of truth for L into a functionally respectible theory of truth for L.
A modification to Lynch's alethic functionalism is called for at this point. Truth is defined in terms of satisfaction on a Tarskian construal. Hence, if the functionalists are to be right, then we must also include in our platitudes about truth certain platitudes about satisfaction (or reference). This will give us a functionalist account of reference/satisfaction (in itself not a bad thing, let's say). Presumably this would be done by specifying a set of platitudes about reference. But is there a consistent set of platitudes about reference that hold in all domains, the realization of which might be different from domain to domain. Here I will give some possible platitudes concerning reference.
Reference Platitude 1 (R1) : Reference is a relation between words and the world.
R2: When in a context C, I utter a referring expression x as part of a sentence S of a language L, then usually I have referred to whatever it is that is the referent of x.
R3: When uttering a declarative sentence S in a context C, if an expression I use fails to refer then I have said something false. [Taking Russell's side for the moment.]
Of course, 'the world' in R1 can be construed broadly enough so that in its extension we can include words, some ideas, and all sorts of things. So maybe this will work. Then we can regard a property P as realizing the concept of reference if it plays the functional role spelled out by the platitude(s). Might this work? Here are the positives: (1) it doesn't require reworking Davidson's program; and (2) it will require rejecting his primitivism about truth. Furthermore, (3) we can keep his indeterminacy about reference. And lastly, (4) because the meaning of 'true' is fixed by the platitudes, and not by the particular property realizing it in a given domain, the truth conditions for sentences in one domain and those for another domain can be given in the same metalanguage without fear of equivocation. Thoughts?