Abstract

As central as the method of forcing is within set theory, it has yet to be incorporated into the philosopher's toolbox. That strikes me as a shame, since it may well have important applications within philosophy. One barrier is that typical presentations of forcing are overly dry and technical and make it seem inherently bound up with its applications within set theory. The purpose of this note is to try to rectify this. In particular, I will explain how the method of forcing can be seen as a way of constructing a certain kind of intentional model that philosophers are already interested in: namely, possibility models.