Abstract
In what follows I will sketch a very simple possible-world semantics which will allow us to sharpen the notion of a non-reductive, but materialist, mind-body identity theory. This simple semantics will enable us to characterize the various possible positions on mind-body identity and display the range of positions with respect to psycho-physical reduction. Though I am sympathetic to a non-reductive position which I label “autonomous monism”, I will be concerned here less with presenting positive arguments for that position than with describing a framework in which such arguments can be made and pointing out the issues that the position raises. The discussion achieves its abstract viewpoint at the cost of slightly idealizing the process of theory reduction, but the overview attained is worth the price.

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