[bocablkr]

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Once inside, his own thought process would effect the events and disrupt the predictions.


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Not if his thought process is determined by natural causes. You are assuming what you're trying to prove.

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The thought process is determined by natural (chemical and electrical) causes and that is why it would effect the outcome. I don't think that you could include your own thought process in any calculation involving total knowledge (this is getting a little weird). That is why you would need someone outside of the universe (god if you will). But that is why I say if there is a god there is no free will - everything would be pre-determined and predictable as Zee stated.