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JoshuaZ comments on Harry Potter and the Methods of Rationality discussion thread, part 13, chapter 81 - Less Wrong Discussion
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The point there was to avoid the "I can't let you do that, Harry" by making it obvious to Dumbledore (who knows Harry's current wealth) that Harry has a trick up his sleeve. Mentioning the arbitrage trick in public would be a terrible decision, which is why Harry just thinks that.