I was confused by this but think I've figured it out. I'm moderately numerate, but don't have great math intuition.
I was thrown off by the fact that we're talking about individual probabilities where we were talking about odds before. How can you just go to working with probabilities.
I realized that you can do this because log(X/Y) is log(X)-log(Y). So we're moving right based on X (P(e|H)) and left based on Y (P(e|!H)).
It may help those in my boat to call this out. It may be basic, but from my vantage it was a jump that took me a couple hours to figure ou... (read more)
I was confused by this but think I've figured it out. I'm moderately numerate, but don't have great math intuition.
I was thrown off by the fact that we're talking about individual probabilities where we were talking about odds before. How can you just go to working with probabilities.
I realized that you can do this because log(X/Y) is log(X)-log(Y). So we're moving right based on X (P(e|H)) and left based on Y (P(e|!H)).
It may help those in my boat to call this out. It may be basic, but from my vantage it was a jump that took me a couple hours to figure ou... (read more)