Kawoomba comments on Rationality Quotes January 2013 - Less Wrong
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A strong argument, well done.
This indeed puts me in a conundrum: If I answer anything but p=0, I'm giving a kind of weighting factor that destroys the supposedly strict separation between tiers.
However, if I answer p=0, then indeed as long as there is anything even remotely or possibly affecting my top tier terminal values, I should rationally disregard pursuing any other unrelated goal whatsoever.
Obviously, as evident by my writing here, I do not solely focus all my life's efforts on my top tier values, even though I claim they outweigh any combination of other values.
So I am dealing with my value system in an irrational way. However, there are two possible conclusions concerning my confusion:
or
This could be resolved by Omega offering me a straight out choice, pressing buttons or something. I know what my consciously reflected decision would be, even if my daily routine does not reflect that.
Another case of "do as I say (I'd do in hypothetical scenarios), not as I do (in daily life)" ...
Well, you could always play with some fun math...
Even that would be equivalent to an expected utility maximizer using just real numbers, except that there's a well-defined tie-breaker to be used when two different possible decisions would have the exact same expected utility.
How often do two options have precisely the same expected utility? Not often, I'm guessing. Especially in the real world.
I guess almost never (in the mathematical sense). OTOH, in the real world the difference is often so tiny that it's hard to tell its sign -- but then, the thing to do is gather more information or flip a coin.