No, you don’t. This is like saying that if you rearrange the even numbers, they stop being roughly half of all naturals. They’re still one every two. If you pick a large enough ensemble, you notice that. The arrangement with one unhappy person per galaxy is very convenient, but it’s the other way around—if the arrangement was inconvenient but the ratio was given, we could group them this way to make the calculation simpler. Relevant concept: Natural Density.
Yes, but the natural density of even numbers is 0.5. And that is the natural extension to infinity of your intuition that there are more happy than unhappy people in the HEAVEN universe.
If you were born as a person at random in HEAVEN, you’d be most likely happy!
Yes but the total accumulates, the average does not.
UTOT=∑GUG=∞⟨U⟩=limN→∞NUGN=UGIf you rearrange heaven to hell, you get a different average. So you either have to think rearrangement matters or that they’re equal.
No, you don’t. This is like saying that if you rearrange the even numbers, they stop being roughly half of all naturals. They’re still one every two. If you pick a large enough ensemble, you notice that. The arrangement with one unhappy person per galaxy is very convenient, but it’s the other way around—if the arrangement was inconvenient but the ratio was given, we could group them this way to make the calculation simpler. Relevant concept: Natural Density.
There are as many even numbers as there are total numbers. They are the same cardinality.
Yes, but the natural density of even numbers is 0.5. And that is the natural extension to infinity of your intuition that there are more happy than unhappy people in the HEAVEN universe.
If you were born as a person at random in HEAVEN, you’d be most likely happy!