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Viliam_Bur comments on Why do theists, undergrads, and Less Wrongers favor one-boxing on Newcomb? - Less Wrong
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Is it about determinism?
LessWrongian: The whole universe (multiverse) is deterministic. I am deterministic. Therefore, Omega can predict me.
Philosopher/Atheist: I have a free will. Free will beats determinism! Therefore, Omega can't predict me.
Theist: God is omnipotent and omniscient. God beats everything! Therefore, God/Omega can predict me.
Or about plausibility of a higher intelligence?
Theist: I believe in God. Therefore, I believe God/Omega can be so smarter than me.
Atheist/Philosopher: I don't believe in God. Therefore, I don't believe God/Omega can be so smarter than me.
LessWrongian: I believe in superhuman artificial intelligence. Therefore, I believe Omega can be smarter than me.
People who believe in non-deterministic free will are more likely to one-box than those who don't, in the philpapers survey.
This is consistent with the data, although I don't know that I'd put a lot of weight on it (and the libertarianism correlation above might come from the bundling of libertarianism about will with religion).