Misha comments on A Case Study of Motivated Continuation - Less Wrong

25 Post author: Eliezer_Yudkowsky 31 October 2007 01:27AM

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Comment author: [deleted] 16 September 2011 05:42:05AM *  3 points [-]

Of course, you can also use the chain of negative-utility cases to make a direct argument for specks vs. torture.

Say you prefer 1 slap to N1 specks. Then you prefer 1 kick to N2 slaps, 1 bruise to N3 kicks, 1 broken arm to N4 bruises, and so on, up until the last step where you prefer years of torture to Nk of something.

It follows that the specks vs. torture point comes at N1 x N2 x N3 x .... x Nk. This is pretty much always going to be less than 3^^^3 -- if the steps were truly small, the factors are all going to be less than a trillion or so, and there's probably going to be less than a trillion steps, and (1 trillion)^(1 trillion) is still insignificant compared to 3^^^3.

Comment author: ec429 16 September 2011 08:45:14AM 1 point [-]

Of course. Except that I think you mean trillion^trillion, not trillion*trillion.

Comment author: [deleted] 16 September 2011 03:28:49PM 1 point [-]

Er. Right. Fixed. And it's a testament to the magnitude of 3^^^3 that I need to change absolutely nothing else.