What conceptual spaces can do for Carnap's late inductive logic

In the last published account of his late inductive logic, the Basic System of Inductive Logic, Rudolf Carnap introduced a new element to the systems of inductive logic, namely the so-called attribute spaces. These geometrical structures model the meanings of the predicates of the object language and have a similar structure as the conceptual spaces employed by cognitive scientists like Peter Gärdenfors. I show how the development of the theory of conceptual spaces helps us to see the addition of attribute spaces as a step forward in explicating the concept of confirmation. I discuss the differences and similarities of the two theories and investigate the possibilities for developing further connections.