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DanielLC comments on Rationality Quotes September 2012 - Less Wrong
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You could use hyperreal numbers. They behave pretty similarly to reals, and have reals as a subset. Also, if you multiply any hyperreal number besides zero by a real number, you get something isomorphic to the reals, so you can multiply by infinity and it still will work the same.
I'm not a big fan of the continuity axiom. Also, if you allow for hyperreal probabilities, you can still get it to work.
At which point why not just re-normalize everything so that you're only dealing with reals?
You could have something have infinite value and something else have finite value. Since this has an infinitesimal chance of actually mattering, it's a silly thing to do. I was just pointing out that you could assign something infinite utility and have it make sense.
True
Only if you have a way to describe infinity in terms of a real number.
You just pick some infinite hyper real number and multiply all the real numbers by that. What's the problem?
Oh, you're saying assign a hyperreal infinite numbers to the value of individual lives. That works, but be very careful how you value life. Contradictions and absurdities are trivial to develop when one aspect is permitted to override every other one.