I'll just cover three sections in this post, in order to finish up the sequence on the Self-interest theory, S.
In these sections, Parfit argues that S might tell us to believe things that are not true. For example, S might tell us to believe that it is rational to ignore threats, even though that is not in fact true, because it will lead to better results, at least some of the time.
Parfit's final statement about S, in section 9, is that even if S told everyone to believe some other theory, this would not mean that S was not in fact the best theory:
That's it for S. The next sections deal with Consequentialism, C.