D & H don't say so, but the functional form for \ Xi _ k may be derived from the functional dependence of the chemical potential of a component of an ideal mixture upon its mole fraction.
12.
Davidson uses the thesis of supervenience : mental states supervene on physical states, but are not reducible to them . " Supervenience " therefore describes a functional dependence : there can be no change in the mental without some change in the physical causal reducibility between the mental and physical without ontological reducibility.
13.
A basic idea which all non-reductive physicalists share in common is the thesis of supervenience : mental states supervene on physical states, but are not reducible to them . " Supervenience " therefore describes a functional dependence : there can be no change in the mental without some change in the physical . [ 47]
14.
The theorem states that the functional dependence between a certain number ( e . g . : n ) of variables can be reduced by the number ( e . g . k ) of independent dimensions occurring in those variables to give a set of p = n " LITTLE SQUARE " k independent, dimensionless numbers.
