hirvinen comments on Harry Potter and the Methods of Rationality discussion thread, part 26, chapter 97 - Less Wrong
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Like hell you did. Mad-Eye Moody just told you not to. But it sure is a game-theoretical advantage to convince the other player that the conditions of the deal cannot be renegotiated at all, and that it's now or never.
Similarly, what a convenient excuse to expose the muggle-hater to a small example of muggle technology just as you're trying to make him realize there may be a lot more to muggles than he thought.
That's close enough to a promise. Besides, Dumbledore could have made him promise more explicitly off-screen and this is just Moody doing the same independently or reiterating it.
That's not a promise. It's not even agreement.
This is quite possible. However, it does not sound like Moody's reiterating. And I find it improbable that Dumbledore included the "don't touch a pen" clause (that's more Moody's style), but no other clause, and then Moody independently, coincidentally added that clause and no other clause.
A: "<statement>. [<suggestion/imperative to behave accordingly>] Do you understand?" B: "I understand."
I claim that in normal human communication that type of exchange is viewed as B accepting what A says, unless B somehow signals explicit disagreement. Then, if B knows this, and assumes that A thinks likes this, and only explicitly affirms understanding while withholding knowledge of their disagreement, B is at the very least deceiving A.
Of course Moody should know to be more paranoid in what he forbids Harry from doing. Especially with him having witnessed Harry showing cunning and paranoia on a level he finds promising.