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Vladimir_Nesov comments on Formalizing Newcomb's - Less Wrong
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You gotta decide something, faced with the situation. It doesn't look like you argue that Newcomb's test itself literally can't be set up. So what do you mean by contradictions? The physical system itself can't be false, only its description. Whatever contradictions you perceive in the test, they come from the problems of interpretation; the only relevant part of this whole endeavor is computing the decision.
The physical system can't be false, but Omega seems to be lying to us. How do you, as a rationalist, deal when people contradict themselves verbally? You build models, like I did in the original post.
Omega doesn't lie by the statement of the problem. It doesn't even assert anything, it just places the money in the box or doesn't.
What's wrong with you? If Omega tells us the conditions of the experiment (about "foretelling" and stuff), then Omega is lying. If someone else, then someone else. Let's wrap this up, I'm sick.
As was pointed out numerous times, it well may be possible to foretell your actions, even by some variation on just reading this forum and looking what people claim to choose in the given situation. That you came up with specific examples that ridicule the claim of being able to predict your decision, doesn't mean that there literally is no way to do that. Another, more detailed example, is what you listed as (2) simulation approach.
Case 3, "terminating Omega", demonstrable contradiction.
I already explained where a "simulator Omega" has to lie to you.
Sorry, I don't want to spend any more time on this discussion. Goodbye.
FWIW, I understand your frustration, but just as a data point I don't think this reaction is warranted, and I say that as someone who likes most of your comments. I know you made this post in order to escape the rabbit hole, but you must have expected to spend a little time there digging when you made it!