The presentation tries to deal with unbounded utilities. Assuming ∑i|x1| to be finite exludes the target of investigation from the scope.
Supposedly there are multiple text input methods but atleast on the website I can highlight text and use a f(x) button to get math rendering.
I don’t know enough about the fancy spaces whether a version where the norm can take on transfinite or infinidesimal values makes sense or that the elements are just sequences without a condition to converge. Either (real number times a outcome) is a type for which finiteness check doesn’t make sense or the allowable conversions from outcomes to real numbers forces the sum to be bigger than any real number.
Requiring ∑i|xi| to be finite is just part of assuming the xi form a probability distribution over worlds. I think you’re confused about the type difference between theAi and the utility of Ai. (Where in the context of this post, the utility is just represented by an element of a poset.)
I’m not advocating for or making arguments about any fanciness related to infinitesimals or different infinite values or anything like that.
The presentation tries to deal with unbounded utilities. Assuming ∑i|x1| to be finite exludes the target of investigation from the scope.
Supposedly there are multiple text input methods but atleast on the website I can highlight text and use a f(x) button to get math rendering.
I don’t know enough about the fancy spaces whether a version where the norm can take on transfinite or infinidesimal values makes sense or that the elements are just sequences without a condition to converge. Either (real number times a outcome) is a type for which finiteness check doesn’t make sense or the allowable conversions from outcomes to real numbers forces the sum to be bigger than any real number.
Requiring ∑i|xi| to be finite is just part of assuming the xi form a probability distribution over worlds. I think you’re confused about the type difference between theAi and the utility of Ai. (Where in the context of this post, the utility is just represented by an element of a poset.)
I’m not advocating for or making arguments about any fanciness related to infinitesimals or different infinite values or anything like that.