And this - an update from Nagel (2000) - may be closer to what you are working on, or be of help?
http://philosophy.fas.nyu.edu/docs/IO/1172/nexus.pdf
"The alternative I wish to explore can be thought of as a response to the challenge issued by Saul Kripke at the end of Naming and Necessity:
That the usual moves and analogies are not available to solve the problems of the identity theorist is, of course, no proof that no moves are available....I suspect, however, that the present considerations tell heavily against the usual forms of materialism.
Materialism, I think, must hold that a physical description of the world is a complete description of it, that any mental facts are ‘ontologically dependent’ on physical facts in the straightforward sense of following from them by necessity. No identity theorist seems to me to have made a convincing argument against the intuitive view that this is not the case.
Kripke’s view of functionalism and causal behaviorism is the same as mine: that the inadequacy of these analyses of the mental is self-evident. He does not absolutely rule out a form of materialism that is not based on such reductionist analyses, but he says that it has to defend the very strong claim that mental phenomena are strictly necessary consequences of the operation of the brain--and that
the defense of this claim lies under the heavy burden of overcoming the prima facie modal argument that consciousness and brain states are only contingently related, since it seems perfectly conceivable about any brain state that it should exist exactly as it is, physically, without any accompanying consciousness.
The intuitive credibility of this argument, which descends from Descartes’ argument for dualism, is considerable.
It appears at first blush that we have a clear and distinct enough grasp on both phenomenological consciousness and physical brain processes to see that there can be no necessary connection between them.
That is the position that I hope to challenge. It seems to me that post-Kripke, the most promising line of attack on the mind-body problem is to see whether any sense can be made of the idea that mental processes might be physical processes necessarily but not analytically. I would not, however, try to defend the claim that “a physical description of the world is a complete description of it,” so my position is not a form of materialism in Kripke’s sense. It is certainly not a form of physicalism.
But there may be other forms of noncontingent psychophysical identity. So I shall argue.