Interpreting linguistic behavior with possible world models

In this thesis I develop an account of radical interpretation using the possible world framework to model beliefs and meanings. I prove representation results which show that if the linguistic behavior of some subject satisfies certain conditions then it can be taken to arise from a certain type of possible world model for belief and meaning. These results are analogous to the representation theorems in decision theory that show that if the choice behavior of some subject satisfies certain conditions then it arises from expected utility maximization with respect to some subjective probability and utility functions.