Abstract

In a previous article, Professor abelson contended that the mind-Body identity theory was 'mathematically impossible' inasmuch as the number of possible mental states of a finite thinking organism are infinite, While the number of possible bodily states of such an organism are necessarily finite. I argue that this refutation does not succeed because although it is true that a finite brain can have only a finite number of brain states, Abelson had not demonstrated that there was a limitation on what type of brain state could be generated by a finite brain. Thus, For instance, Although the number of natural numbers that such a brain could think of was necessarily finite, This in itself did not militate against the possibility of the brain producing a brain state corresponding to any natural number, Out of a possible infinite set, That can be thought of