Abstract
In Book 9 of Plato's Republic we find three proofs for the claim that the just person is happier than the unjust person. Curiously, Socrates does not seem to consider these arguments to be coequal when he announces the third and final proof as ‘the greatest and most decisive of the overthrows’. This remark raises a couple of related questions for the interpreter. Whatever precise sense we give to μέγιστον and κυριώτατον in this passage, Socrates is clearly appealing to an argumentative standard of some kind, and claiming that his final argument alone meets this standard. But what precise standard is Socrates invoking here? And given that the first two arguments of Book 9 fall short of this standard, why does he not simply leap directly to the third, most decisive proof?