It is both numerically intractable, and occasionally computationally impossible, to maintain rational opinions about what’s true when your information comes filtered through partisan news networks.
If this follows a fortiori from the claim “it’s numerically intractable to update on anything”, then it’s not a very interesting one.
If all beliefs in a Bayesian network are bounded away from 0 and 1, then an approximate update can be done to arbitrary accuracy in polynomial time.
The pathological behavior shows up here because there are two competing but mutually exclusive belief systems. And it is hard to determine when your world view should flip.
I hope that this makes it more interesting to you.
If this follows a fortiori from the claim “it’s numerically intractable to update on anything”, then it’s not a very interesting one.
If all beliefs in a Bayesian network are bounded away from 0 and 1, then an approximate update can be done to arbitrary accuracy in polynomial time.
The pathological behavior shows up here because there are two competing but mutually exclusive belief systems. And it is hard to determine when your world view should flip.
I hope that this makes it more interesting to you.