Internal Inconsistency and Secondary Ideas: Hume's Problem in the Appendix with His Account of Personal Identity

In the Appendix to the Treatise, Hume argues that there is a significant problem with his earlier account of personal identity. There has been considerable debate about what this problem actually is. I develop a new version of an internal inconsistency reading, where I argue that Hume realised that his original account of the connexion between perceptions in terms of an association of the ideas of the perceptions was not a viable means of explaining the connexion between perceptions as it leads to an infinite regress of ideas of perceptions. This is only stopped by accepting that the mind perceives a connexion between perceptions. This, however, is something Hume cannot accept. As a result, Hume is left without a positive account of the self, as he has no account of the connexion between perceptions.