But many things we might simulate with computers, like the weather, the economy, or existential risk, are full of power law distributions that might not have a convergent expected value.
Some of those power laws have to break down. If you find a storm of 10^30 J, it isn’t Terrestrial weather any more. Similarly, if we ever had 10000% growth in one year, that’s probably because we hit the singularity and all bets are off.
The models may incorporate those divergences, but only because they’re wrong.
Some of those power laws have to break down. If you find a storm of 10^30 J, it isn’t Terrestrial weather any more. Similarly, if we ever had 10000% growth in one year, that’s probably because we hit the singularity and all bets are off.
The models may incorporate those divergences, but only because they’re wrong.