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DanielLC comments on Anthropic Reasoning by CDT in Newcomb's Problem - Less Wrong
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Is free will inconsistent with knowing the answer after? For example, if you choose to two box, and I watch you, I will know you chose to two box. Does this violate your free will? If not, why should it matter when I'm standing while I know this?
Your knowledge about my decision, before or after, is not relevant to "free will" as I mean it here. Free will exists in my mind. It is my lack of knowledge, before the decision, of what my decision will be.
If I can prove that I will decide X before actually deciding X, then I don't have free will in this sense.