OK, given some charity about “intelligible contents.” But my statement was different: “I saw a rabbit”, when there was only a hallucination. This statement uses a term, “rabbit”, that the speaker believes refers to one thing, but is mistaken. Your statement, “I hallucinated a white rabbit,” is different. Here, the speaker is correct. So I’m asking whether we should say that my mistaken speaker is using a term that does or does not refer. The key here is that it’s a question about this speaker, not about the propositional content.
The discussion about how to parse “correspondence” is very good. I think you three raise many of the important problems, and provide a sketch of why their resolution is difficult.
It’s the sort of question that can reduce a philosopher to arm-waving! I mean, isn’t it obvious how correspondence works?! The picture @John lays out shows how we might defend this obviousness. Here the isomorphism is mappable, because numerical, by fiat. Do we do something similar, albeit between the lines, in all cases of correspondence? Well, John sensibly says, “This is not to say that we are able to explain just how this is possible, but it does seem that we do know it is not merely possible, but achievable.”
Or consider @j_j 's formulation: “I think the temptation [is] to say that the ‘meaning’ of a claim ‘is like’ the way things.” But he reminds us, “The ‘way things are’, [in order to] ‘be like meaning’, would have to be ‘articulated’.” So we have a further step, articulation, that sounds to me (and I’m guessing to j_j) as if we’re still searching for a better way to understand the two terms involved in the image/reflection metaphor of “mirroring.” They certainly don’t articulate themselves, nor would they appear, at first glance, to show obvious points of resemblance.
I would slow this down a little. A-perspectival reality (or call it “the view from nowhere” or “the God’-eye view”) is more than an agreed-upon practical map, though it certainly is that in practice. And true, there is no accessible “view from nowhere.” But there’s a great deal to be learned, I think from John’s phrase “it is something we are forced to assume.” I agree. Why are we forced to assume it? What is it about Peirce’s convergent goal, knowledge as a regulative ideal, that so strongly makes itself felt? How does that change the way we conceive of an artificial, shared practical map?