The reason why logical uncertainty was brought up in the first place is decision theory, to make crisp formal expression for intuitive “I cooperate with you conditional on you cooperating with me”, where “you cooperating with me” is result of analysis of probability distribution over possible algorithms which control actions of your opponent and you can’t actually run these algorithms due to computational constraints, and you want to do all this reasoning in non-arbitrary ways.
The reason why logical uncertainty was brought up in the first place is decision theory, to make crisp formal expression for intuitive “I cooperate with you conditional on you cooperating with me”, where “you cooperating with me” is result of analysis of probability distribution over possible algorithms which control actions of your opponent and you can’t actually run these algorithms due to computational constraints, and you want to do all this reasoning in non-arbitrary ways.