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linas comments on Decision Theory FAQ - Less Wrong
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How many times in a row will you be mugged, before you realize that omega was lying to you?
Omega is, by definition, always truthful.
Really you probably need start imagining Omega as a trustworthy process, e.g. a mathematical proof that tells you 'X'-- thinking it as a person seems to trip you up if you are constantly bringing up the possibility it's lying when it says 'X'...