My example can obviously be translated as well, by assigning utility to outcome given possible states of binary X and Y, and probability to X.
It doesn’t matter what utilities you assign to outcomes X and Y, what you have caught by saying
you believe that choosing Y requires X to be true, you don’t believe X to be true, but you choose Y
is an error of logic. The person here believes ¬X and X <== Y and Y.
As I said, it’s just a special case, with utility maximization not being the best form for thinking about it (as you noted, simple logic suffices here). The conjecture is that everything in decision-making is a special case of utility maximization.
The conjecture is that everything in decision-making is a special case of utility maximization.
Sure—Just like every program can be written out in brainfuck. But you wouldn’t actually use that in real life, because it is not efficient.
It doesn’t matter what utilities you assign to outcomes X and Y, what you have caught by saying
is an error of logic. The person here believes ¬X and X <== Y and Y.
As I said, it’s just a special case, with utility maximization not being the best form for thinking about it (as you noted, simple logic suffices here). The conjecture is that everything in decision-making is a special case of utility maximization.
Sure—Just like every program can be written out in brainfuck. But you wouldn’t actually use that in real life, because it is not efficient.