How many times in a row will you be mugged, before you realize that omega was lying to you?
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’...
Omega is, by definition, always truthful.
How many times in a row will you be mugged, before you realize that omega was lying to you?
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’...
Omega is, by definition, always truthful.