The following is yet another perspective on which prior to use, which questions whether we should assume some kind of uniformity principle:
As has been discussed in other comments and the initial text, there are some reasons to expect later times to be hingier (e.g. better knowledge) and there are some reasons to expect earlier times to be hingier (e.g. because of smaller populations). It is plausible that these reasons skew one way or another, and this effect might outweigh other sources of variance in hinginess.
That means that the hingiest times are disproportionately likely to be either a) the earliest generation (e.g. humans in pre-historic population bottlenecks) or b) the last generation (i.e. the time just before some lock-in happens). Our time is very unlikely to be the hingiest in this perspective (unless you think that lock-in happens very soon). So this suggests a low prior for HoH; however, what matters is arguably comparing present hinginess to the future, rather than to the past. And in this perspective it would be not-very-unlikely that our time is hingier than all future times.
In other words, rather than there being anything special about our time, it could just the case that a) hinginess generally decreases over time and b) this effect is stronger than other sources of variance in hinginess. I’m fairly agnostic about both of these claims, and Will argued against a), but it’s surely likelier than 1 in 100000 (in the absense of further evidence), and arguably likelier even than 5%. (This isn’t exactly HoH because past times would be even hingier.)
At least in Will’s model, we are among the earliest human generations, so I don’t think this argument holds very much, unless you posit a very fast diminishing prior (which so far nobody has done).
The following is yet another perspective on which prior to use, which questions whether we should assume some kind of uniformity principle:
As has been discussed in other comments and the initial text, there are some reasons to expect later times to be hingier (e.g. better knowledge) and there are some reasons to expect earlier times to be hingier (e.g. because of smaller populations). It is plausible that these reasons skew one way or another, and this effect might outweigh other sources of variance in hinginess.
That means that the hingiest times are disproportionately likely to be either a) the earliest generation (e.g. humans in pre-historic population bottlenecks) or b) the last generation (i.e. the time just before some lock-in happens). Our time is very unlikely to be the hingiest in this perspective (unless you think that lock-in happens very soon). So this suggests a low prior for HoH; however, what matters is arguably comparing present hinginess to the future, rather than to the past. And in this perspective it would be not-very-unlikely that our time is hingier than all future times.
In other words, rather than there being anything special about our time, it could just the case that a) hinginess generally decreases over time and b) this effect is stronger than other sources of variance in hinginess. I’m fairly agnostic about both of these claims, and Will argued against a), but it’s surely likelier than 1 in 100000 (in the absense of further evidence), and arguably likelier even than 5%. (This isn’t exactly HoH because past times would be even hingier.)
At least in Will’s model, we are among the earliest human generations, so I don’t think this argument holds very much, unless you posit a very fast diminishing prior (which so far nobody has done).