Very quickly:
On the “I am tired” vs. “He is tired” example, note that the theory is not given by the T-sentences. The T-sentences are the constraint on the theory, in that the theory must be able to derive them from the appropriate axioms. In this case, we could have a theory such as:
A1: When uttered by S at t, “I” refers to S at t.
A2: When uttered by S at t, “He” refers to a demonstrated male.
A3: When uttered by S at t, x^“is tired” is true iff the reference of x as uttered by S at t is tired.
Using these axioms (more or less), we could derive:
- “I am tired” uttered by Nagase at t is true iff the reference of “I” as uttered by Nagase at t is tired (by A3);
- The reference of “I” as uttered by Nagase at t is tired iff Nagase is tired (at t) (by A1).
On the other hand, “He is tired” (said by, say, Olívia demonstrating Nagase) has the following derivation:
- “He is tired” uttered by Olívia at t is true iff the reference of “He” as uttered by Olívia at t is tired (by A3);
- The reference of “He” as uttered by Olívia at t is tired iff Nagase is tired at (by A2 and the assumption).
So the two sentences have the same truth-conditions, and thus he same “meaning” in the sense of information conveyed, but not the same compositional meaning, as they use different axioms in the derivation of their respective truth-conditions. This is very similar, incidentally, to Carnap’s distinction between L-equivalence and synonymy, according to which the latter requires that the sentences are synonymous at the level of construction (they must be built out of synonymous components), and Kaplan’s distinction between character and content. Davidson’s approach, of course, is extensional.
As for issues of interpretation, note that:
(a) Davidson does not think there is a fact of the matter about how to get interpretations right, at least not in the sense of a physicalist fact of the matter. I could have a particle-by-particle replica of myself in Twin Earth, yet our beliefs differ, because what what makes sense to interpret one as believing is not what makes sense to interpret the other as believing (say, I believe that there is water in front of me, whereas my counterpart should be interpreted as believing that there is counter-water in front of him). In a sense, the only real standard for the correctness of interpretation is the person being interpreted, which makes it a matter of responsibility, more than accuracy.
(b) On the dispute between Davidson and McDowell, the empirical content of my beliefs is, for Davidson, captured by “perceptual beliefs”, that is, beliefs caused by perception. I think Davidson is right that there isn’t much difference between him and the McDowell of Mind and World on this point, except that McDowell there introduces a different kind of propositional attitude, “perceives that”, which is dubiously neutral with respect to the content being entertained (i.e. it neither accepts nor rejects it). Note that McDowell himself accepts that in “Avoiding the Myth of the Given”, and thus refines his position accordingly.