Holism and the Problem of Equivalent Theories

Assume that our super-sensitive beings exemplify three basic neural properties Nl, N2, and N3. Assume also that there are three basic phenomenal properties, PI, P2, and P3. Assume that Nl occurs iff PI and P2 occur, N2 occurs iff P2 and P3 occur, and N3 occurs iff PI and P3 occur. Assume that Nl and N2 occur iff PI occurs, N2 and N3 occur iff P2 occurs, and Nl and N3 occur iff P3 occurs. Moreover, assume that the following identity statements are true  

The type instances of which instantiate Nl N2 = PI The type instances of which instantiate N2 N3 = P2 The type instances of which instantiate Nl N3 = P3 The type instances of which instantiate PI P2 = Nl The type instances of which instantiate P2 P3 = N2 The type instances of which instantiate PI P3 = N3 

For this to be possible, the phenomenal states PI and P2 can occur even though the condition for PI to occur in isolation is not fulfilled. Thus, Nl gives rise to PI and P2 only if Nl occurs in isolation (otherwise, we would run into the problem that given one state, these beings would be in every state they are possibly in). Assume 

let us turn to the holistic criteria, none of which is applicable in the present case  

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