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.
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.
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:
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.
Being cavalier with proofreading =/= being cavalier with number size.
But that is indeed amusing.
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.