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  1. The Foundations of Causal Decision Theory.James M. Joyce - 1999 - Cambridge University Press.
    This book defends the view that any adequate account of rational decision making must take a decision maker's beliefs about causal relations into account. The early chapters of the book introduce the non-specialist to the rudiments of expected utility theory. The major technical advance offered by the book is a 'representation theorem' that shows that both causal decision theory and its main rival, Richard Jeffrey's logic of decision, are both instances of a more general conditional decision theory. The book solves (...)
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  • The Foundations of Statistics.Leonard Savage - 1954 - Wiley Publications in Statistics.
    Classic analysis of the subject and the development of personal probability; one of the greatest controversies in modern statistcal thought.
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  • Truth and probability.Frank Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.
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  • The Logic of Decision.Richard C. Jeffrey - 1965 - New York, NY, USA: University of Chicago Press.
    "[This book] proposes new foundations for the Bayesian principle of rational action, and goes on to develop a new logic of desirability and probabtility."—Frederic Schick, _Journal of Philosophy_.
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  • Counterfactuals.David K. Lewis - 1973 - Malden, Mass.: Blackwell.
    Counterfactuals is David Lewis' forceful presentation of and sustained argument for a particular view about propositions which express contrary to fact conditionals, including his famous defense of realism about possible worlds and his theory of laws of nature.
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  • Ramsey’s representation theorem.Richard Bradley - 2004 - Dialectica 58 (4):483–497.
    This paper reconstructs and evaluates the representation theorem presented by Ramsey in his essay 'Truth and Probability', showing how its proof depends on a novel application of Hölder's theory of measurement. I argue that it must be understood as a solution to the problem of measuring partial belief, a solution that in many ways remains unsurpassed. Finally I show that the method it employs may be interpreted in such a way as to avoid a well known objection to it due (...)
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  • Probability and conditionals.Robert C. Stalnaker - 1970 - Philosophy of Science 37 (1):64-80.
    The aim of the paper is to draw a connection between a semantical theory of conditional statements and the theory of conditional probability. First, the probability calculus is interpreted as a semantics for truth functional logic. Absolute probabilities are treated as degrees of rational belief. Conditional probabilities are explicitly defined in terms of absolute probabilities in the familiar way. Second, the probability calculus is extended in order to provide an interpretation for counterfactual probabilities--conditional probabilities where the condition has zero probability. (...)
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  • Conditional probabilities and compounds of conditionals.Vann McGee - 1989 - Philosophical Review 98 (4):485-541.
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  • (2 other versions)Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.
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  • Weighing Goods: Equality, Uncertainty and Time.John Broome - 1991 - Wiley-Blackwell.
    This study uses techniques from economics to illuminate fundamental questions in ethics, particularly in the foundations of utilitarianism. Topics considered include the nature of teleological ethics, the foundations of decision theory, the value of equality and the moral significance of a person's continuing identity through time.
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  • The foundations of causal decision theory. [REVIEW]Mirek Janusz - 2001 - Philosophical Review 110 (2):296-300.
    This book makes a significant contribution to the standard decision theory, that is, the theory of choice built around the principle of maximizing expected utility, both to its causal version and to the more traditional noncausal approach. The author’s success in clarifying the foundations of the standard decision theory in general, and causal decision theory in particular, also makes the book uniquely suitable for a person whose research in philosophy has led her to want to learn about contemporary decision theory. (...)
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  • Ramsey and the measurement of belief.Richard Bradley - 2001 - In David Corfield & Jon Williamson (eds.), Foundations of Bayesianism. Kluwer Academic Publishers.
    Foundations of Bayesianism is an authoritative collection of papers addressing the key challenges that face the Bayesian interpretation of probability today. Some of these papers seek to clarify the relationships between Bayesian, causal and logical reasoning. Others consider the application of Bayesianism to artificial intelligence, decision theory, statistics and the philosophy of science and mathematics. The volume includes important criticisms of Bayesian reasoning and also gives an insight into some of the points of disagreement amongst advocates of the Bayesian approach. (...)
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  • The logic of conditionals: an application of probability to deductive logic.Ernest Wilcox Adams - 1996 - Boston: D. Reidel Pub. Co..
    THE INDICATIVE CONDITIONAL. A PROBABILISTIC CRITERION OF SOUNDNESS FOR DEDUCTIVE INFERENCES Our objective in this section is to establish a prima facie case ...
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  • Functions Resembling Quotients of Measures.Ethan Bolker - 1966 - Transactions of the American Mathematical Society 2:292–312.
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  • (1 other version)The Logic of Conditionals.Ernest Adams, Ernest W. Adams, Jaakko Hintikka & Patrick Suppes - 1965 - Journal of Symbolic Logic 39 (3):609-611.
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  • Erratum: Probabilities of Conditionals and Conditional Probabilities.David Lewis - 1976 - Philosophical Review 85 (4):561.
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  • La Prévision: Ses Lois Logiques, Ses Sources Subjectives.Bruno de Finetti - 1937 - Annales de l'Institut Henri Poincaré 7 (1):1-68.
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  • Probabilities of conditionals and conditional probabilities.David Lewis - 1976 - Philosophical Review 85 (3):297-315.
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  • Conditionals and the logic of decision.Richard Bradley - 2000 - Philosophy of Science 67 (3):32.
    In this paper Richard Jeffrey's 'Logic of Decision' is extended by examination of agents' attitudes to the sorts of possibilities identified by indicative conditional sentences. An expression for the desirability of conditionals is proposed and, along with Adams' thesis that the probability of a conditional equals the conditional probability of its antecedent given its consequent, is defended by informally deriving it from Jeffrey's notion of desirability and some weak constraints on rational preference for conditional possibilities. Finally a statement is given (...)
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  • Do conditionals have truth conditions?Dorothy Edgington - 1986 - Instituto de Investigaciones Filosófica, Unam.
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  • Philosophical papers.Frank Plumpton Ramsey - 1925 - New York: Cambridge University Press. Edited by D. H. Mellor.
    Frank Ramsey was the greatest of the remarkable generation of Cambridge philosophers and logicians which included G. E. Moore, Bertrand Russell, Ludwig Wittgenstein and Maynard Keynes. Before his tragically early death in 1930 at the age of twenty-six, he had done seminal work in mathematics and economics as well as in logic and philosophy. This volume, with a new and extensive introduction by D. H. Mellor, contains all Ramsey's previously published writings on philosophy and the foundations of mathematics. The latter (...)
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  • (1 other version)The Foundations of Statistics.Leonard J. Savage - 1956 - Philosophy of Science 23 (2):166-166.
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  • (2 other versions)On the Probabilities of Conditionals.Frank Döring - 1996 - Philosophical Review 105 (2):231-231.
    In my paper “On the Probabilities of Conditionals,” I claimed, mistakenly, that David Lewis’s four triviality results and Alan Hájek’s proof depend on the application of the following principle to conditionals containing nested conditionals.
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  • The probability of conditionals: The psychological evidence.David E. Over & Jonathan St B. T. Evans - 2003 - Mind and Language 18 (4):340–358.
    The two main psychological theories of the ordinary conditional were designed to account for inferences made from assumptions, but few premises in everyday life can be simply assumed true. Useful premises usually have a probability that is less than certainty. But what is the probability of the ordinary conditional and how is it determined? We argue that people use a two stage Ramsey test that we specify to make probability judgements about indicative conditionals in natural language, and we describe experiments (...)
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  • (1 other version)Do Conditionals Have Truth Conditions?Dorothy Edgington - 1986 - Critica 18 (52):3-39.
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  • State-Dependent Utilities.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - unknown
    Several axiom systems for preference among acts lead to a unique probability and a state-independent utility such that acts are ranked according to their expected utilities. These axioms have been used as a foundation for Bayesian decision theory and subjective probability calculus. In this article we note that the uniqueness of the probability is relative to the choice of whatcounts as a constant outcome. Although it is sometimes clear what should be considered constant, in many cases there are several possible (...)
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  • (1 other version)Do Conditionals Have Truth-Conditions.Dorothy Edgington - 1986 - Cr'itica 18 (52):3-30.
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  • A simultaneous axiomatization of utility and subjective probability.Ethan D. Bolker - 1967 - Philosophy of Science 34 (4):333-340.
    This paper contributes to the mathematical foundations of the model for utility theory developed by Richard Jeffrey in The Logic of Decision [5]. In it I discuss the relationship of Jeffrey's to classical models, state and interpret an existence theorem for numerical utilities and subjective probabilities and restate a theorem on their uniqueness.
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  • Subjective expected utility: A review of normative theories. [REVIEW]Peter C. Fishburn - 1981 - Theory and Decision 13 (2):139-199.
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  • More triviality.Richard Bradley - 1999 - Journal of Philosophical Logic 28 (2):129-139.
    This paper uses the framework of Popper and Miller's work on axiom systems for conditional probabilities to explore Adams' thesis concerning the probabilities of conditionals. It is shown that even very weak axiom systems have only a very restricted set of models satisfying a natural generalisation of Adams' thesis, thereby casting severe doubt on the possibility of developing a non-Boolean semantics for conditionals consistent with it.
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  • A representation theorem for a decision theory with conditionals.Richard Bradley - 1998 - Synthese 116 (2):187-229.
    This paper investigates the role of conditionals in hypothetical reasoning and rational decision making. Its main result is a proof of a representation theorem for preferences defined on sets of sentences (and, in particular, conditional sentences), where an agent’s preference for one sentence over another is understood to be a preference for receiving the news conveyed by the former. The theorem shows that a rational preference ordering of conditional sentences determines probability and desirability representations of the agent’s degrees of belief (...)
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  • Probabilities of conditionals — revisited.Alan Hájek - 1989 - Journal of Philosophical Logic 18 (4):423 - 428.
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  • (2 other versions)On the probabilities of conditionals.Frank Döring - 1994 - Philosophical Review 103 (4):689-700.
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  • A definition of subjective probability.F. Anscombe & Robert Aumann - 1963 - Annals of Mathematical Statistics 34:199–204.
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  • Conditional Desirability.Richard Bradley - 1999 - Theory and Decision 47 (1):23-55.
    Conditional attitudes are not the attitudes an agent is disposed to acquire in event of learning that a condition holds. Rather they are the components of agent's current attitudes that derive from the consideration they give to the possibility that the condition is true. Jeffrey's decision theory can be extended to include quantitative representation of the strength of these components. A conditional desirability measure for degrees of conditional desire is proposed and shown to imply that an agent's degrees of conditional (...)
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  • (1 other version)Conditionals.Dorothy Edgington - 2006
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