Clarification required - what does it mean for everyone to have the "same" utility system? The obvious answer is "every situation gives everyone the same utility", but if I like chocolate, I should gain utility from eating chocolate. If my brother doesn't like eating chocolate, he shouldn't gain utility from it. So if it's not the seemingly obvious answer, how are we defining it?
Also, you've mentioned that the negation of an event is it "not happening", and it has the opposite utility of the original. There are two main object...
The objections to your concept of negation still stand, I think - there are an infinite number of possible events, an infinite number of which don't happen. Only finitely many things happen, but the utility of each is similar to the utility of the things that didn't happen, since things that don't happen have the same absolute value as they would if they did. We can't just say that they cancel out, because they eat up the available utility space, so every individual event has to have an infinitesimal value...
I'm not sure that this is really a fixable syste... (read more)