For recent examples, see this post by MileyCyrus, or this post from XiXiDu (where I reply with unbounded utility functions, which is not the general solution).
I can’t parse the parenthetical comment. Even clicking through, I’m not sure what you mean.
Your IUPU is trivial if the utility function is bounded. I don’t see what role AIXI plays in this post, except to smuggle in the hypothesis of bounded utility function. And for you to whine that people aren’t thinking clearly.
That you reject unbounded utility functions (from the XiXiDu comment) really belongs in this post. Many people don’t. Peter de Blanc shows that unbounded utility functions have much worse problems, but I don’t think that convinces many people to give them up.
I hadn’t yet read de Blanc’s paper about unbounded utility functions.
When writing the post I was considering a limit for all utility functions: bounded and unbounded. Reading his paper it now seems that was an obvious mistake, a limit should hold only for the bounded variety.
Peter de Blanc shows that unbounded utility functions have much worse problems, but I don’t think that convinces many people to give them up.
I can’t parse the parenthetical comment.
Even clicking through, I’m not sure what you mean.
Your IUPU is trivial if the utility function is bounded. I don’t see what role AIXI plays in this post, except to smuggle in the hypothesis of bounded utility function. And for you to whine that people aren’t thinking clearly.
That you reject unbounded utility functions (from the XiXiDu comment) really belongs in this post. Many people don’t. Peter de Blanc shows that unbounded utility functions have much worse problems, but I don’t think that convinces many people to give them up.
I hadn’t yet read de Blanc’s paper about unbounded utility functions.
When writing the post I was considering a limit for all utility functions: bounded and unbounded. Reading his paper it now seems that was an obvious mistake, a limit should hold only for the bounded variety.
What could then?