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casebash comments on Consequences of the Non-Existence of Perfect Theoretical Rationality - Less Wrong Discussion
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If you create an actual infinity then things get weird. Many intuitive rules don't hold. So I don't want an actual infinity.
But a large, unknown number could easily be some sort of infinity.
Let's look at it another way. Say I choose some unknown number as you described. Any reason I couldn't be enlightened by "well, if you had chosen number+1, you could have saved the universe"?
I definitely am lacking in my mathematical knowledge so if there's a way to deal with un-measured numbers I'd appreciate if someone could enlighten me.
"But a large, unknown number could easily be some sort of infinity." - it could if I hadn't specified that we are assuming it is finite.
Then the best decision is to make some calculations, say, how much suffering per 1m/km2 on average, multiply that by how much of the universe you can observe, then add an incredibly large amount of 9s to it's right side. Use all the excess utility to expand your space travel and observation and save the other planets from suffering.