Dutch Book against Lewis

Abstract According to the PCCP thesis, probability of a conditional A ? C is P( | ). This claim undermined by Lewis’ triviality results, which purport show that apart from trivial cases, not true. In present article we only rational, “Dutch Book-resistant” extension agent’s beliefs concerning non-conditional sentences and assuming ) = (i.e., in accord with PCCP). other cases diachronic Dutch Book against agent can be constructed. There tension between our findings needs explained. Therefore, space corresponds natural way Book—and allows interpreted as an event mathematically sound way. It also formalize notion conditionalizing on ¬ plays crucial role proof. Our conclusion proof circular, so it cannot considered argument PCCP.