In the pitch case, the frequencies do not bear the relations to each other that the pitches bear.
In the color case, it is objected that reflectance classes do not bear the relations to each other that the colors bear.
For example, if a bears the relation R to b, then R internally relates a to b just in case a bears this relation to b in every possible circumstance in which they both exist.
Hence, "For every x, x bears the relation M to f(x)"; i.e., (4) (∀x Mxf(x).
(Note that the ordering relation is not symmetric.) These examples also have the property that whenever one object bears the relation to a second, which further bears the relation to a third, then the first bears that relation to the third e.g., if a < b and b < c, then a < c.
The relation "is parallel to" (symbolized by ∥) has the property that, if an object bears the relation to a second object, then the second also bears that relation to the first.
These examples also have the property that whenever one object bears the relation to a second, which further bears the relation to a third, then the first bears that relation to the third e.g., if a < b and b < c, then a < c.
For example, in the relation "is the same colour as," each object bears the relation to itself as well as to some other objects.
Aldrin is a still more mysterious substance, for although it exists as a separate entity, it bears the relation of alter ego to dieldrin.
