
I never heard of this theory, but it intrigues me. I spent an hour trying to understand it, and I think I do, but I am hesitant to write it down; I am pretty sure I will have parts of it wrong.
Anomalous Monism (SEP)
Anomalous Monism is a theory about the scientific status of psychology, the physical status of mental events, and the relation between these issues developed by Donald Davidson. It claims that psychology cannot be a science like basic physics, in that it cannot in principle yield exceptionless laws for predicting or explaining human thoughts and actions (mental anomalism). It also holds that thoughts and actions must be physical (monism, or token-identity), contradicting the paradigmatic dualist view of Descartes that mental and physical states are entirely different things. Thus, according to Anomalous Monism, psychology cannot be reduced to physics, but must nonetheless share a physical ontology.
While neither of these claims, on its own, is novel, their relation, according to Anomalous Monism, is. It is precisely because there can be no such strict laws governing mental events that those events must be identical to physical events. Most previous identity theories of mind had held that claims concerning the identity of particular mental and physical events (tokens) depended upon the discovery of lawlike relations between mental and physical properties (types). Empirical evidence for psychophysical laws was thus held to be required for particular token-identity claims. Token-identity claims thus depended upon type-identity (see Johnston, 1985, 408–409). Davidson’s monism is dramatically different – it requires no empirical evidence and depends on there being no lawlike relations between mental and physical properties. It in effect justifies the token-identity of mental and physical events through arguing for the impossibility of type-identities between mental and physical properties. (For detailed discussion of how Davidson’s position relates to David Lewis’s argument for type identity (Lewis 1966), see supplement A.2.1. For discussion of philosophical positions related to Davidson’s version of monism, see supplement A.)
The appeal of Anomalous Monism is owed to these striking and novel features, a fairly straightforward argumentative structure, and its attempt to bring together an intuitively acceptable metaphysics (monism) with a sophisticated understanding of the relation between psychological and physical explanatory schemes (anomalism). Its explicit assumptions are each intended, on their own, to be acceptable to positions opposing monism, but, when taken together, to show that monism is in fact required. Anomalous Monism thus maintains the autonomy of the common sense view of persons as agents acting for reasons while nonetheless acknowledging that persons are part of the physical world.
Read the rest here: https://plato.stanford.edu/entries/anomalous-monism/














