The probability I’m the only person person selected out of 3^^^3 for such a decision p(i) is less than any reasonable estimate of how many people could be selected, imho. Let’s say well below 700dB against. The chances are much greater that some probability fo those about to be dust specked or tortured also gets this choice (p(k)). p(k)*3^^^3 > p(i) ⇒ 3^^^3 > p(i)/p(k) ⇒ true for any reasonable p(i)/p(k)
So this means that the effective number of dust particles given to each of us is going to be roughly (1-p(i))p(k)3^^^3.
I’m going to assume any amount of dust larger in mass than a few orders of magnitude above the Chandrasekhar limit (1e33 kg) is going to result in a black hole. I can even assume a significant error margin in my understanding of how black holes work, and the reuslts do not change.
The smallest dust particle is probably a single hydrogen atom(really everything resoles to hydrogen at small enough quantities, right?). 1 mol of hydrogen weighs about 1 gram. So (1-p(i))(p(k)3^^^3 (1 gram/mol)(6e-23 ‘specks’/mol) (1e-3 kg/g) (1e-33 kg/black hole) = roughly ( 3^^^3 ) (~1e-730) = roughly 3^^^3 black holes.
In conclusion, I think at this level, I would choose ‘cancel’ / ‘default’ / ‘roll a dice and determine the choice randomly/not choose’ BUT would woefully update my concept of the sizee of the universe to contain enough mass to even support a reasonably infentessimal probability of some proportion of 3^^^3 specks of dust, and 3^^^3 people or at least some reasonable proportion thereof.
The question I have now is how is our model of the universe to update given this moral dillema? What is the new radius of the universe given this situation? It can’t be big enough for 3^^^3 dust specks piled on the edge of our universe outside of our light cone somewhere. Either way I think the new radius ought to be termed the “Yudkowsky Radius”.
I suppose you could view the utility as a meaninful object in this frame and abstract away the dust, too, but in the end the dust-utility system is going to encompaps both anyway so solving the problem on either level is going to solve it on both.
The probability I’m the only person person selected out of 3^^^3 for such a decision p(i) is less than any reasonable estimate of how many people could be selected, imho. Let’s say well below 700dB against. The chances are much greater that some probability fo those about to be dust specked or tortured also gets this choice (p(k)). p(k)*3^^^3 > p(i) ⇒ 3^^^3 > p(i)/p(k) ⇒ true for any reasonable p(i)/p(k)
So this means that the effective number of dust particles given to each of us is going to be roughly (1-p(i))p(k)3^^^3.
I’m going to assume any amount of dust larger in mass than a few orders of magnitude above the Chandrasekhar limit (1e33 kg) is going to result in a black hole. I can even assume a significant error margin in my understanding of how black holes work, and the reuslts do not change.
The smallest dust particle is probably a single hydrogen atom(really everything resoles to hydrogen at small enough quantities, right?). 1 mol of hydrogen weighs about 1 gram. So (1-p(i))(p(k)3^^^3 (1 gram/mol)(6e-23 ‘specks’/mol) (1e-3 kg/g) (1e-33 kg/black hole) = roughly ( 3^^^3 ) (~1e-730) = roughly 3^^^3 black holes.
ie 3^(3_1^3_2^3_3^...^3_7e13 −730) = roughly 3^(3_1^3_2^3_3^...^3_7e13)
ie 3_1^3_2^3_3^...^3_7e13 − 730 = roughly 3_1^3_2^3_3^...^3_7e13.
In conclusion, I think at this level, I would choose ‘cancel’ / ‘default’ / ‘roll a dice and determine the choice randomly/not choose’ BUT would woefully update my concept of the sizee of the universe to contain enough mass to even support a reasonably infentessimal probability of some proportion of 3^^^3 specks of dust, and 3^^^3 people or at least some reasonable proportion thereof.
The question I have now is how is our model of the universe to update given this moral dillema? What is the new radius of the universe given this situation? It can’t be big enough for 3^^^3 dust specks piled on the edge of our universe outside of our light cone somewhere. Either way I think the new radius ought to be termed the “Yudkowsky Radius”.
I don’t really care what happens if you take the dust speck literally; the point is to exemplify an extremely small disutility.
I suppose you could view the utility as a meaninful object in this frame and abstract away the dust, too, but in the end the dust-utility system is going to encompaps both anyway so solving the problem on either level is going to solve it on both.