Sniffnoy comments on Dreams of AIXI - Less Wrong

-1 Post author: jacob_cannell 30 August 2010 10:15PM

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Comment author: Sniffnoy 05 September 2010 08:14:21PM 0 points [-]

I doubt that. In my utility function as it is now, both eternal torture and ceasing to exist are at negative infinity, but the negative infinity of ceasing to exist is to that of eternal torture as the set of real numbers is to the set of integers.

I don't think that's meaningful. How's that work mathematically?

Comment author: JoshuaZ 05 September 2010 08:18:20PM 0 points [-]

I don't think doing this with cardinality works. One could however has a system where one did have incomparable levels of utility using the surreal number system. One could for example use this to deal with the torture v. dust specs. However, this seems to lead to essentially smuggling in deontological moral claims into a utilitarian system.

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