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Jack comments on What do professional philosophers believe, and why? - Less Wrong Discussion
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1 - Supposing I have no philosophical views at all about volition, I would be rationally obliged to one-box. In a state of ignorance, the choice is clear simply provided that I value whatever is being offered. Why should I then take the time to form a theory of volition, if you're right and at most it can only make me lose more often?
We don't know what the right answer to Newcomb-like problems will look like, but we do know what the wrong answers will look like.
2 - Supposing I do have a view about volition that makes me think I should two-box, I'll still be rationally obliged to one-box in any case where my confidence in that view is low enough relative to the difference between the options' expected values.
For instance, if we assign to two-boxing the value 'every human being except you gets their skin ripped off and is then executed, plus you get $10' and assign to one-boxing the value 'nobody gets tortured or killed, but you miss out on the $10', no sane and reasonable person would choose to two-box, no matter how confident they (realistically) thought they were that they have a clever impossibility proof. But if two-boxing is the right answer sometimes, then, pace Nozick, it should always be the right answer, at least in cases where the difference between the 2B and 1B outcomes is dramatic enough to even register as a significant decision. Every single one of the arguments for two-boxing generalize to the skin-ripping-off case, e.g., 'I can't help being (causal-decision-theory-)rational!' and 'it's unfair to punish me for liking CDT; I protest by continuing to employ CDT'.
3 - You seem to be under the impression that there's something implausible or far-fetched about the premise of Newcomb's Problem. There isn't. If you can't understand a 100% success rate on Omega's part, then imagine a 99% success rate, or a 50% one. The problem isn't altered in substance by this.
A 50% success rate would recommend two boxing.
Edit: and come to think of it I am somewhat less sure about the lower success rates in general. If I can roughly estimate Omega's prediction about me that would seem to screen off any timeless effect. Like, you could probably pretty reliably predict how someone would answer this question based on variables like Less Wrong participation and having a Phd in philosophy. Using this information, I could conclude that an Omega with 60% accuracy is probably going to classify me as a one-boxer no matter what I decide... and in that case why not two box?
Sorry, by a 50% success rate I meant that Omega correctly predicts your action 50% of the time, and the other half of the time just guesses. Guessing can also yield the right answer, so this isn't equivalent to a 50% success rate in the sense you meant, which was simply 'Does Omega put the money in the box he would have wished to?'
If you know that Omega will take into account that you're a LessWronger, but also know that he won't take into account any other information about you (including not taking into account the fact that you know that he knows you're a LessWronger!), then yes, you should two-box. But that's quite different from merely knowing that Omega has a certain success rate. Let's suppose we know that 60% of the time Omega makes the decision it would have wished were it omniscient. Then we get:
Then the expected value of one-boxing is $600,400. Expected value of two-boxing is $401,000. So you should one-box in this situation.
This makes sense.