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ike comments on Monty Hall Sleeping Beauty - Less Wrong
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Comments (17)
This isn't a new idea. It's mentioned in http://www.anthropic-principle.com/preprints/beauty/synthesis.pdf , for instance.
Also, I believe if you read the (detailed) arguments for each side, you'll find it much harder to reduce them to disagreement over word meaning. Or at least that's what I remember from when I looked at them.
You want to read http://analysis.oxfordjournals.org/content/60/2/143 and http://analysis.oxfordjournals.org/content/61/3/171
Last two links are paywalled.
https://www.princeton.edu/~adame/papers/sleeping/sleeping.pdf and http://fitelson.org/probability/lewis_sb.pdf