Good points well made. I’m not sure what you mean by “my expected log score is maximized” (and would like to know), but in any case it’s probably your average world rather than your median world that does it?
Figure 1 is clumsy, sorry. In the case of a smooth probability distribution of infinite worlds, I think the median and the average world are the same? But in practice, yes, it’s an expected value calculation, summing P(world) * P(U|world) for all the worlds you’ve thought about.
Good points well made. I’m not sure what you mean by “my expected log score is maximized” (and would like to know), but in any case it’s probably your average world rather than your median world that does it?
Figure 1 is clumsy, sorry. In the case of a smooth probability distribution of infinite worlds, I think the median and the average world are the same? But in practice, yes, it’s an expected value calculation, summing P(world) * P(U|world) for all the worlds you’ve thought about.