Great quote - I disagree w/ Alex Rosenberg but I think more than most he correctly identifies the reality of the Physicalist position, the acceptance that matter (and thus the brain if it's matter) cannot be about anything.
Curious - why do you think the eliminativist position is correct? I could easily throw out free will if there was enough evidence, but the idea we don't have thoughts is a step beyond my boggle threshold.
Well, I don't know. I do think that "aboutness" is likely false. Past that, I do think that "conditioning" of some sort, is likely most of what "mind" is/does. Does this mean that anything and everything we attribute to mind is wholly incorrect? I don't know, but I don't think it must be that.
Maybe I could say my idea is that the phenomena of "mind" is both not what we think it is (with aboutness and the like), but also is not just "bare" neuronal firing. To me, maybe this is because consciousness (and more importantly self-consciousness) is both recursive and relational.
Recursive in the sense that being self-aware means you are in a sort of feedback loop, one that allows you to "see" yourself and (to some degree or other) modify or influence your own thoughts/behaviors. Relational, because I don't think any "thought" whatever that might be, or not be, "stands alone." In the same way that the letters C-A-T have anything, in-themselves, to do with a four legged animal, no thought, in-itself, has any "stand alone" thing like meaning, outside it's relations. Maybe in a sort of mereology, each part is both a part, but an individual part does not inform us of the whole, being only a part of the whole.
So, to say that some neuronal "part" is the whole would be like saying that hydrogen atoms, one in a cat and one in a star, explains both cats and stars for us. Or, let us pretend you own a house. Then there is an earthquake and the house collapses. We could be an "imaginative physicalist" (i guess) and say, your house before and after are the exact same things. Still the same number of atoms, still the same atomic, molecular and chemical compositions. In other words, a summary physical survey says both things (the house before, the pile of rubble now) are the "same." Except, of course, no one would say that, because it facile to see that the two are not the same at all. One had a definite, "meaningful" structure and relation, where the other is structured and related (in a manner of speaking) only to the manner in which it was before and in collapsing.
So, to say that "mind" is only neuronal activity sort of seems, to me, to be akin to saying the house and the pile of rubble are the same thing. Except, of course, they aren't, because the structure and relation are keys to what makes a "whole" of it's constituent parts.
Of course, I am not smart of credentialed, so maybe that is a whole line of crap.