That was a faster progression to the Law-inspired answer than Keltham was expecting.  Maybe something about the exact way Keltham asked the question managed to prompt that answer?  Or maybe it really is the sort of thing where most arbitrary aliens will always arrive at the same answer, which is a small piece of good news about the general cooperativity of Reality.

"Yes indeed; sometimes you can take an ideal-agent calculation whose naked specification is too large for even gods to compute, and either simplify it to an exact answer, or get a good and fast approximation of it."

Keltham whiteboards a sum over every possible permutation of 12 tokens, pausing to explain dath ilani math symbols like 'all permutations' and 'initial string up to first appearance of this symbol'.  For every possible order in which the tokens could be arranged, consider the marginal product that token adds, at the time it's added.  Then, divide that sum by the number of permutations.

"This sum has 479 million, 1 thousand, 6 hundred terms," Keltham says.  "I've already finished adding them up.  How are you doing on that?"

That was a faster progression to the Law-inspired answer than Keltham was expecting.  Maybe something about the exact way Keltham asked the question managed to prompt that answer?  Or maybe it really is the sort of thing where most arbitrary aliens will always arrive at the same answer, which is a small piece of good news about the general cooperativity of Reality.

"Yes indeed; sometimes you can take an ideal-agent calculation whose naked specification is too large for even gods to compute, and either simplify it to an exact answer, or get a good and fast approximation of it."

Keltham whiteboards a sum over every possible permutation of 12 tokens, pausing to explain dath ilani math symbols like 'all permutations' and 'initial string up to first appearance of this symbol'.  For every possible order in which the tokens could be arranged, consider the marginal product that token adds, on the step it's added.  Then, divide that sum by the number of permutations.

"This sum has 479 million, 1 thousand, 6 hundred terms," Keltham says.  "I've already finished adding them up.  How are you doing on that?"

That was a faster progression to the Law-inspired answer than Keltham was expecting.  Maybe something about the exact way Keltham asked the question managed to prompt that answer?  Or maybe it really is the sort of thing where most arbitrary aliens will arrive at the same answer, which is a small piece of good news about the general cooperativity of Reality.

"Yes indeed; sometimes you can take an ideal-agent calculation whose naked specification is too large for even gods to compute, and either simplify it to an exact answer, or get a good and fast approximation of it."

Keltham whiteboards a sum over every possible permutation of 12 tokens, pausing to explain dath ilani math symbols like 'all permutations' and 'initial string up to first appearance of this symbol'.  For every possible order in which the tokens could be arranged, consider the marginal product that token adds, on the step it's added.  Then, divide that sum by the number of permutations.

"This sum has 479 million, 1 thousand, 6 hundred terms," Keltham says.  "I've already finished adding them up.  How are you doing on that?"

That was a faster progression to the Law-inspired answer than Keltham was expecting.  Maybe something about the exact way Keltham asked the question managed to prompt that answer?  Or maybe it really is the sort of thing where most arbitrary aliens will arrive at the same answer, which is a small piece of good news about the general cooperativity of Reality.

"Yes indeed; sometimes you can take an ideal-agent calculation whose naked specification is too large for even gods to compute, and either simplify it to an exact answer, or get a good and fast approximation of it."

Keltham whiteboards a sum over every possible permutation of 12 tokens, pausing to explain dath ilani math symbols like 'all permutations' and 'initial string up to first appearance of this symbol'.  For every possible order in which the tokens could be arranged, consider the marginal production that token adds, on the step it's added.  Then, divide that sum by the number of permutations.

"This sum has 479 million, 1 thousand, 6 hundred terms," Keltham says.  "I've already finished adding them up.  How are you doing on that?"

That was a faster progression to the Law-inspired answer than Keltham was expecting.  Maybe something about the exact way Keltham asked the question managed to prompt that answer?  Or maybe it really is the sort of thing where most arbitrary aliens will arrive at the same answer, which is a small piece of good news about the general cooperativity of Reality.

"Yes indeed; sometimes you can take an ideal-agent calculation whose naked specification is too large for even gods to compute, and either simplify it to an exact answer, or get a good and fast approximation of it."

Keltham whiteboards a sum over every possible permutation of 12 tokens, pausing to explain dath ilani math symbols like 'all permutations' and 'initial string up to first appearance of this symbol'.  For every possible order in which the tokens could be arranged, consider the marginal production that token adds, on the step it's added.  (0-10 produces 0, 11-12 produces 12.)  Then, divide that sum by the number of permutations.

"This sum has 479 million, 1 thousand, 6 hundred terms," Keltham says.  "I've already finished adding them up.  How are you doing on that?"