 Here a determinable is thought of as a “classification” of particulars. The metric space \(S\) is a collection of points together with a “distance” relation on these points; it defines the possible classificatory locations and how they are related. Each point corresponds to a determinate of that determinable, and the distance relation provides a measure of the similarities among them. The function \(f\) maps each concrete particular in its domain to a unique point in the metric space.