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Nisan comments on Cryonics Questions - Less Wrong
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I agree it doesn't follow in the sense of a mathematical proof. But someone who answered yes to (6) but claimed that she doesn't value her life enough to do cryonics would sort of be contradicting themselves.
Perhaps what FAWS is getting at is that saying "yes" to 6 doesn't mean that you think your life is worth the financial cost of cryonics. But that was addressed in question 1. Saying "yes" to 6 really means that you can't pretend that your life isn't worth saving at all.