"Honestly, I did have some key results memorized, even though they were math results and not about the ratios in dath ilan per se.  If I had done calculations, they might have looked like - I didn't use this calculation exactly, but it's simpler and probably gives about the same answer -"

Definition of ^:

2^2 = 4
2^3 = 8
4^2.5 = 32

Definition of sqrt:

sqrt(9) = 3
sqrt(16) = 4
sqrt(x*x) = x
sqrt(2) = 1.41421

pi = 3.14159
e =  2.71828

let normal(x) = 1 / sqrt(2*pi)  *  e^( (-1/2) * (x^2) ) in

INT 18 ~ normal(4)
INT 17 ~ normal(3.5)
INT 16 ~ normal(3)
INT 15 ~ normal(2.5)
INT 14 ~ normal(2)

"I am not actually expecting you to figure this one out, Asmodia, it's several layers further into Probability and it would take multiple other concepts to understand what those numbers had to do with Intelligence in Golarion.  I'm only even writing it down on the white-wall because, I mean, when you asked me that way, I couldn't have lived with myself if I hadn't shown you the calculations."

"What's actually in there is something like - a fragment of Law that tells you a thing that is very likely true given only very few premises.  I could have used it to look at a room full of randomly selected people in Cheliax, none of whom were unusually tall, and then estimated from that how many very tall people of a given height there'd be in Cheliax."

" Actually, I did have some key results memorized, even though they were math results and not about the ratios in dath ilan per se.  If I had done calculations, they might have looked like - I didn't use this calculation exactly, but it's simpler and probably gives about the same answer -"

Definition of ^:

2^2 = 4
2^3 = 8
4^2.5 = 32

Definition of sqrt:

sqrt(9) = 3
sqrt(16) = 4
sqrt(x*x) = x
sqrt(2) = 1.41421

pi = 3.14159
e =  2.71828

let normal(x) = 1 / sqrt(2*pi)  *  e^( (-1/2) * (x^2) ) in

INT 18 ~ normal(4)
INT 17 ~ normal(3.5)
INT 16 ~ normal(3)
INT 15 ~ normal(2.5)
INT 14 ~ normal(2)

"I am not actually expecting you to figure this one out, Asmodia, it's several layers further into Probability and it would take multiple other concepts to understand what those numbers had to do with Intelligence in Golarion.  I'm only even writing it down on the white-wall because, I mean, when you asked me that way, I couldn't have lived with myself if I hadn't shown you the calculations."

"What's actually in there is something like - a fragment of Law that tells you a thing that is very likely true given only very few premises.  I could have used it to look at a room full of randomly selected people in Cheliax, none of whom were unusually tall, and then estimated from that how many very tall people of a given height there'd be in Cheliax."

"Actually, I did have some key results memorized, even though they were math results and not about the ratios in dath ilan per se.  If I had done calculations, they might have looked like - I didn't use this calculation exactly, but it's simpler and probably gives about the same answer -"

Definition of ^:

2^2 = 4
2^3 = 8
4^2.5 = 32

Definition of sqrt:

sqrt(9) = 3
sqrt(16) = 4
sqrt(x*x) = x
sqrt(2) = 1.41421

pi = 3.14159
e =  2.71828

let normal(x) = 1 / sqrt(2*pi)  *  e^( (-1/2) * (x^2) ) in

INT 18 ~ normal(4)
INT 17 ~ normal(3.5)
INT 16 ~ normal(3)
INT 15 ~ normal(2.5)
INT 14 ~ normal(2)

"I am not actually expecting you to figure this one out, Asmodia, it's several layers further into Probability and it would take multiple other concepts to understand what those numbers had to do with Intelligence in Golarion.  I'm only even writing it down on the white-wall because, I mean, when you asked me that way, I couldn't have lived with myself if I hadn't shown you the calculations."

"What's actually in there is something like - a fragment of Law that tells you a thing that is very likely true given only very few premises.  I could have used it to look at a room full of randomly selected people in Cheliax, none of whom were unusually tall, and then estimated from that how many very tall people of a given height there'd be in Cheliax."