No, it doesn’t. In fact I don’t think you even parsed my question. Sorry.
Let’s simplify the problem: what’s your uninformative prior for “proportion of voters who voted for an unknown candidate”? Is it uniform on (0,1) which is given by maxent? What if I’d asked for your prior of the square of this value instead, masking it with some verbiage to sound natural—would you also reply uniform on (0,1)? Those statements are incompatible. In more complex real world situations, how exactly do you choose the parameterization of the model to feed into maxent? I see no general way. See this Wikipedia page for more discussion of this problem. In the end it recommends the Jeffreys rule for use in practice, but it’s not obviously the final word.
I see what you’re saying, but I don’t think it matters here. That confusion extends to uncertainty about the nth digit of pi as well-it’s nothing new about different universes. If you put a uniform prior on the nth digit of pi instead of uniform of the square of the nth digit or Jeffreys prior, why don’t you do the same in the case of different universes? What prior do you use?
The point I tried to make in the last comment is that if you’re asked any question, you start with the indifference principle. which is uniform in nature, and upon receiving new information, (perhaps the possibility that the original phrasing wasn’t the ‘natural’ way to phrase it, or however you solve the confusion) then you can update. Since the problem never mentioned a method of parameterizing a continuous space of possible universes, it makes me wonder how you can object to assigning uniform priors given this parameterization or even say that he required it.
Changing the topic of our discussion, it seems like your comment is also orthogonal to the claim being presented. He basically said “given this discrete set of two possible universes (with uniform prior) this ‘proves’ SIA (worded the first way)”. Given SIA, you know to update on your existence if you find yourself in a continuous space of possible universes, even if you don’t know where to update from.
No, it doesn’t. In fact I don’t think you even parsed my question. Sorry.
Let’s simplify the problem: what’s your uninformative prior for “proportion of voters who voted for an unknown candidate”? Is it uniform on (0,1) which is given by maxent? What if I’d asked for your prior of the square of this value instead, masking it with some verbiage to sound natural—would you also reply uniform on (0,1)? Those statements are incompatible. In more complex real world situations, how exactly do you choose the parameterization of the model to feed into maxent? I see no general way. See this Wikipedia page for more discussion of this problem. In the end it recommends the Jeffreys rule for use in practice, but it’s not obviously the final word.
I see what you’re saying, but I don’t think it matters here. That confusion extends to uncertainty about the nth digit of pi as well-it’s nothing new about different universes. If you put a uniform prior on the nth digit of pi instead of uniform of the square of the nth digit or Jeffreys prior, why don’t you do the same in the case of different universes? What prior do you use?
The point I tried to make in the last comment is that if you’re asked any question, you start with the indifference principle. which is uniform in nature, and upon receiving new information, (perhaps the possibility that the original phrasing wasn’t the ‘natural’ way to phrase it, or however you solve the confusion) then you can update. Since the problem never mentioned a method of parameterizing a continuous space of possible universes, it makes me wonder how you can object to assigning uniform priors given this parameterization or even say that he required it.
Changing the topic of our discussion, it seems like your comment is also orthogonal to the claim being presented. He basically said “given this discrete set of two possible universes (with uniform prior) this ‘proves’ SIA (worded the first way)”. Given SIA, you know to update on your existence if you find yourself in a continuous space of possible universes, even if you don’t know where to update from.