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PhilGoetz comments on Open Thread, September, 2010-- part 2 - Less Wrong
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Say you have 2 independent pieces of evidence (M(c) and N(c)) that Q(c) is true. Q(c) is true half the time when M(c) is true; so God flips a coin (but not a 2008 penny), and Q(c) is true if it lands heads.
Half the time, God's coin came up tails. God flips another coin, for N(c), and again, if it comes up heads, Q(c) is true. Q(c) is false only if both coins come up tails.
This has the same structure as your response to jimrandomh, which I reply to here.