Mark Silcox

Anomalous Monism is a type of property dualism in the philosophy of mind. Property dualism combines the thesis that mental phenomena are strictly irreducible to physical phenomena with the denial that mind and body are discrete substances. For the anomalous monist, the plausibility of property dualism derives from the fact that although mental states, events and processes have genuine causal powers, the causal relationships that they enter into with physical entities cannot be explained by appeal to fundamental laws of nature. This doctrine about the relationship between mind and body was first explicitly defended by Donald Davidson in his paper “Mental Events,” though its root in the Western philosophical tradition go back at least as far as Spinoza. It was a topic of energetic debate and disagreement among English-speaking philosophers for the last thirty years of the twentieth century.

It is often helpful in metaphysics to reflect upon the principles that govern how existence claims are made in logic and mathematics. Consider, for example, the different ways in which mathematicians construct inductive definitions. In order to provide an inductive definition of a class of mathematical entities, one must first define a base class and then stipulate further conditions for inclusion by reference to the properties of members of the base class. These conditions can be deflationary, so that the target class is a subclass of the base class, or inflationary, so that the base class is an important subclass of the target class. For example, in defining the set of well-formed sentences of first order logic, one can begin with the set of all possible strings and, in a deflationary manner, exclude the nonsentences. Or one can begin with the set of atomic formulae, and in an inflationary manner, build more complicated sentences out of the atomic formulae