But there is nothing even like that for morality. In fact, when a moral statement seems universal under sufficient reflection, it stops being a moral statement and becomes simply rational, like cooperating in the Prisoner's Dilemma when playing against the right opponents.

What is the distinction you are making between rationality and morality, then? What makes you think the former won't be swallowed up by the latter (or vice versa!) in the limit of infinite reflection?

(Sorta drunk, apologies for conflating conflation of rationality and morality with lack of conflation of rationality and morality, probabilistically-shouldly.)

ETA: I don't understand how my comments can be so awesome when I'm obviously so freakin' drunk. ;P . Maybe I should get drunk all the freakin' time. Or study Latin all the freakin' time, or read the Bible all the freakin' time, or ponder how often people are obviously wrong when they use the phrase "all the freakin' time" (let alone "freakin[']") (especially when they use the phrase "all the freakin' time" all the freakin' time, naturally-because-reflexively)....