The ultimate prior is maximum entropy, aka “idk”, aka “50/50: either happens or not”. We never actually have it, because we start gathering evidence for how the world is before our brains even form enough to make any links between it.
That prior doesn’t work when there is a countable number of hypotheses, aka “I’ve picked a number from {0,1,2,...}. Which?” or “Given that the laws of physics can be described by a computer program, which?”.
You need a prior to take evidence into account. If the prior is evidence, then what is the prior?
Hm… You make a good point. I’m not sure I understand this conceptually well enough to have any sort of coherent response.
The ultimate prior is maximum entropy, aka “idk”, aka “50/50: either happens or not”. We never actually have it, because we start gathering evidence for how the world is before our brains even form enough to make any links between it.
That prior doesn’t work when there is a countable number of hypotheses, aka “I’ve picked a number from {0,1,2,...}. Which?” or “Given that the laws of physics can be described by a computer program, which?”.