Eliezer asks me to state my confidence that I won't roll a 1.
I say I am 99% confident I won't roll a 1, using basic math.
Eliezer says "AHA, you idiot, I checked all of your past predictions and when you predicted something with confidence 99%, it only happened 90% of the time! So you can't say you're 99% confident that you won't roll a 1"
I am impressed by the ability of my past predictions to affect the roll of a dice, and promptly run off to become a wizard.
Ah but the machine gods could be tinkering with your neural wiring to make you think you're rolling a die when in reality the universe is nothing but the color pink. That's right, reality is nothing but a shade of Fuchsia and dice don't actually exist. You should take this possibility into account when adjusting your priors for some reason.
I roll a fair 100 sided dice.
Eliezer asks me to state my confidence that I won't roll a 1.
I say I am 99% confident I won't roll a 1, using basic math.
Eliezer says "AHA, you idiot, I checked all of your past predictions and when you predicted something with confidence 99%, it only happened 90% of the time! So you can't say you're 99% confident that you won't roll a 1"
I am impressed by the ability of my past predictions to affect the roll of a dice, and promptly run off to become a wizard.
Ah but the machine gods could be tinkering with your neural wiring to make you think you're rolling a die when in reality the universe is nothing but the color pink. That's right, reality is nothing but a shade of Fuchsia and dice don't actually exist. You should take this possibility into account when adjusting your priors for some reason.
Epistemic Status: Barbie.
Whom the gods would destroy, they first make Barbie.