Thanks for all the replies. As I said in the post, I also don't think Adams is completely serious. Here is the weaker version of his argument that I find interesting: if someone can make you (or maybe other rational/informed people) laugh at your beliefs, should that cause you to reassess your level of certainty in those beliefs?
In other words, I don't think Adams really believes that someone "successfully" mocking your opinions automatically makes them false -- but he's asserting at least some connection between this kind of humor and truth. Which feels right to me, though I can't really articulate it any better than he did.
Or maybe it's more of a connection to self-deception -- the easier it is to laugh at your own beliefs, the more likely they are to be somehow insincere, regardless of their truth or falsehood.
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I don't think there's much need for heuristics like "rate of effectiveness change times donation must be much smaller - say, a few percent of - effectiveness itself."
If you're really using a Landsburg-style calculation to decide where to donate to, you've already estimated the effectiveness of the second-most effective charity, so you can just say that effectiveness drop must be no greater than the corresponding difference.