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paper-machine comments on Can Counterfactuals Be True? - Less Wrong
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You seem to be done, so I won't belabor things further; I just want to point out that I didn't claim to have a more updated copy of Pearl (in fact, I said the opposite). I doubt there's been any change to his algorithm.
All this ASCII math is confusing the heck out of me, anyway.
EDIT: Oh, dear. I see how horribly wrong I was now. The version of the formula I was looking at said "(formula) for (un-intervened variables) consistent with (intervention), and zero otherwise" and because it was a deterministic system my mind conflated the two kinds of consistency. I'm really sorry to have blown a lot of your free time on my own incompetence.
Thanks for that.... You just saved me a few hours additional research on Pearl to find out whether I'd got it wrong (and misapplied the calculus for interventions that are impossible in the original system)!
Incidentally, I'm quite a fan of Pearl's work, and think there should be ways to adjust the calculus to allow reasonable backtracking counterfactuals as well as forward-tracking ones (i.e. ways to find a minimal intervention further back in the graph, one which then makes the antecedent come out true..) But that's probably worth a separate post, and I'm not ready for it yet.