This chapter provides a solution to the companionship difficulty, a difficulty that Carnap saw no way to solve and that Goodman thought could not be solved by theories like Resemblance Nominalism. In the proposed solution, the notion of degrees of resemblance plays a fundamental role. This permits the introduction of a condition that all property classes, even those which correspond to properties having companions, satisfy.
Keywords: Carnap, companionship difficulty, degrees of resemblance, Goodman