wedrifid comments on Pascal's Mugging: Tiny Probabilities of Vast Utilities - Less Wrong

39 Post author: Eliezer_Yudkowsky 19 October 2007 11:37PM

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Comment author: Will_Sawin 31 December 2010 08:29:26PM 1 point [-]

That's not the point. None of those probabilities are as strong as 3^^^3. Maybe big, buy not THAT big.

The point is that no more than 1/3^^^3 people have sole control over the life or death of 3^^3 people. This improbability, that you would be one of those very special people, IS big enough.

(This answer fails unless your ethics and anthropics use the same measure. That's how the pig example works.)

Comment author: wedrifid 01 January 2011 01:18:01AM *  0 points [-]

Even if the Matrix-claimant says that the 3^^^^3 minds created will be unlike you, with information that tells them they're powerless, if you're in a generalized scenario where anyone has and uses that kind of power, the vast majority of mind-instantiations are in leaves rather than roots.

The point is that no more than 1/3^^^3 people have sole control

I was about to express mild amusement about how cavalier we are with jumping to, from and between numbers like 3^^^^3 and 3^^^3. I had to squint to tell the difference. Then it occurred to me that:

The point is that no more than 1/3^^^3 people have sole control over the life or death of 3^^3 people. This improbability, that you would be one of those very special people, IS big enough.

3^^3 is not even unimaginably big, Knuth arrows or no. It's about 1/5th the number of people that can fit in the MCG.

Comment author: Will_Sawin 01 January 2011 06:42:07AM 1 point [-]

Being cavalier with proofreading =/= being cavalier with number size.

But that is indeed amusing.

Comment author: wedrifid 01 January 2011 07:07:29AM 0 points [-]

Being cavalier with proofreading =/= being cavalier with number size.

Well, I didn't want to declare a proofreading error because 3^^^3 does technically fit correctly in the context, even if you may not have meant it. ;)

I was thinking the fact that we are so cavalier makes it easier to slip between them if not paying close attention. Especially since 3^^^3 is more commonly used than 3^^^^3. I don't actually recall Eliezer going beyond pentation elsewhere.

I know if I go that high I tend to use 4^^^^4. It appeals more aesthetically and is more clearly distinct. Mind you it isn't nearly as neat as 3^^^3 given that 3^^^3 can also be written and visualized conceptually as 3 -> 3 -> 3 while 4^^^^4 is just 4 -> 4 -> 4 not 4 -> 4 -> 4 -> 4.