And then there are objects that are completely outside the arithmetical hierarchy, but we probably shouldn’t assign zero priors to either. Things like large cardinals, perhaps.
Another mystery is, why did evolution create minds capable of thinking about these issues, given that agents equipped with a fixed UTM-based prior would have done perfectly fine in our place, at least up to now?
And then there are objects that are completely outside the arithmetical hierarchy, but we probably shouldn’t assign zero priors to either. Things like large cardinals, perhaps.
Another mystery is, why did evolution create minds capable of thinking about these issues, given that agents equipped with a fixed UTM-based prior would have done perfectly fine in our place, at least up to now?