It looks to me to be rather clear that what is being said ("myths are not evidence for Zeus") translates roughly to "myths are very weak evidence for Zeus, and so my beliefs are changed very little by them". Is there still a real misunderstanding here?
You are making a mistake in reasoning if you don't change your belief through that evidence. Your belief should change by orders of magnitude. A change from 10^{-18} to 10^{-15} is a strong change.
The central reason to believe that Zeus doesn't exist are weak priors.
Skeptics have ideas that someone has to prove something to them for them to believe it. In the Bayesian worldview you always have probabilities for your beliefs. Social obligations aren't part of it. "Good" evidence means that someone fulfilled a social obligation of providing a certain amount of proof. It doesn't refer to how strongly a Bayesian should update after being exposed to a piece of evidence.
There are very strong instincts for humans to either believe X is true or to believe X is false. It takes effort to think in terms of probabilities.
I agree with this comment, but I want to point out that there may be a problem with equating the natural language concept "strength of evidence" with the likelihood ratio.
You can compare two probabilities on either an additive or multiplicative scale. When applying a likelihood ratio of 1000, your prior changes by a multiplicative factor of 1000 (this actually applies to odds rather than probabilities, but for low probability events, the two approximate each other). However, on an additive scale, a change from 10^{-18} to 10^{-15} is really ...
Another month has passed and here is a new rationality quotes thread. The usual rules are:
And one new rule: