Tom_Breton comments on Torture vs. Dust Specks - Less Wrong

39 Post author: Eliezer_Yudkowsky 30 October 2007 02:50AM

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Comment author: Tom_Breton 31 October 2007 09:39:00PM 0 points [-]

@Neel.

Then I only need to make the condition slightly stronger: "Any slight tendency to aggregation that doesn't beg the question." Ie, that doesn't place a mathematical upper limit on disutility(Specks) that is lower than disutility(Torture=1). I trust you can see how that would be simply begging the question. Your formulation:

D(Torture, Specks) = [10 * (Torture/(Torture + 1))] + (Specks/(Specks + 1))

...doesn't meet this test.

Contrary to what you think, it doesn't require unbounded utility. Limiting the lower bound of the range to (say) 2 * disutility(torture) will suffice. The rest of your message assumes it does.

For completeness, I note that introducing numbers comparable to 3^^^3 in an attempt to undo the 3^^^3 scaling would cause a formulation to fail the "slight" condition, modest though it is.