TY - BOOK ID - 85895232 TI - Dutch book arguments PY - 2020 SN - 9781108581813 9781108713443 1108713440 1108607969 1108581811 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Probabilities KW - Knowledge, Theory of KW - Philosophy KW - Probabilities - Philosophy KW - Probabilities. KW - Bayesian statistical decision theory. KW - Knowledge, Theory of. KW - Bayes' solution KW - Bayesian analysis KW - Statistical decision KW - Epistemology KW - Theory of knowledge KW - Psychology KW - Probability KW - Statistical inference KW - Combinations KW - Mathematics KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk UR - https://www.unicat.be/uniCat?func=search&query=sysid:85895232 AB - Our beliefs come in degrees. I'm 70% confident it will rain tomorrow, and 0.001% sure my lottery ticket will win. What's more, we think these degrees of belief should abide by certain principles if they are to be rational. For instance, you shouldn't believe that a person's taller than 6ft more strongly than you believe that they're taller than 5ft, since the former entails the latter. In Dutch Book arguments, we try to establish the principles of rationality for degrees of belief by appealing to their role in guiding decisions. In particular, we show that degrees of belief that don't satisfy the principles will always guide action in some way that is bad or undesirable. In this Element, we present Dutch Book arguments for the principles of Probabilism, Conditionalization, and the Reflection Principle, among others, and we formulate and consider the most serious objections to them. -- ER -