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  1. The Consistency Argument for Ranking Functions.Franz Huber - 2007 - Studia Logica 86 (2):299-329.
    The paper provides an argument for the thesis that an agent’s degrees of disbelief should obey the ranking calculus. This Consistency Argument is based on the Consistency Theorem. The latter says that an agent’s belief set is and will always be consistent and deductively closed iff her degrees of entrenchment satisfy the ranking axioms and are updated according to the ranktheoretic update rules.
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  • Radical Probabilism and Bayesian Conditioning.Richard Bradley - 2005 - Philosophy of Science 72 (2):342-364.
    Richard Jeffrey espoused an antifoundationalist variant of Bayesian thinking that he termed ‘Radical Probabilism’. Radical Probabilism denies both the existence of an ideal, unbiased starting point for our attempts to learn about the world and the dogma of classical Bayesianism that the only justified change of belief is one based on the learning of certainties. Probabilistic judgment is basic and irreducible. Bayesian conditioning is appropriate when interaction with the environment yields new certainty of belief in some proposition but leaves one’s (...)
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  • Varieties of Bayesianism.Jonathan Weisberg - manuscript
    Handbook of the History of Logic, vol. 10, eds. Dov Gabbay, Stephan Hartmann, and John Woods, forthcoming.
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  • Belief Update Across Fission.Wolfgang Schwarz - 2015 - British Journal for the Philosophy of Science 66 (3):659-682.
    When an agent undergoes fission, how should the beliefs of the fission results relate to the pre-fission beliefs? This question is important for the Everett interpretation of quantum mechanics, but it is of independent philosophical interest. Among other things, fission scenarios demonstrate that ‘self-locating’ information can affect the probability of uncentred propositions even if an agent has no essentially self-locating uncertainty. I present a general update rule for centred beliefs that gives sensible verdicts in cases of fission, without relying on (...)
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  • Belief and the Problem of Ulysses and the Sirens.Bas C. van Fraassen - 1995 - Philosophical Studies 77 (1):7-37.
    This is surely a bit of Socrates' famous irony. He draws the analogy to explain how his friends should regard poetry as they regretfully banish it from the ideal state. But lovers were no more sensible then than they are now. The advice to banish poetry, undermined already by Plato's own delight and skill in drama, is perhaps undermined still further by this evocation of a 'sensible' lover who counts love so well lost. Yet Socrates' image is one of avowed (...)
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  • Belief and Degrees of Belief.Franz Huber - 2009 - In F. Huber & C. Schmidt-Petri (eds.), Degrees of Belief. Springer.
    Degrees of belief are familiar to all of us. Our confidence in the truth of some propositions is higher than our confidence in the truth of other propositions. We are pretty confident that our computers will boot when we push their power button, but we are much more confident that the sun will rise tomorrow. Degrees of belief formally represent the strength with which we believe the truth of various propositions. The higher an agent’s degree of belief for a particular (...)
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  • Models for Belief Revision.Raymundo Morado - 1992 - Philosophical Issues 2:227-247.
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  • Merging of Opinions and Probability Kinematics.Simon M. Huttegger - 2015 - Review of Symbolic Logic 8 (4):611-648.
  • Diachronic Dutch Books and Evidential Import.J. Dmitri Gallow - 2017 - Philosophy and Phenomenological Research.
    A handful of well-known arguments (the 'diachronic Dutch book arguments') rely upon theorems establishing that, in certain circumstances, you are immune from sure monetary loss (you are not 'diachronically Dutch bookable') if and only if you adopt the strategy of conditionalizing (or Jeffrey conditionalizing) on whatever evidence you happen to receive. These theorems require non-trivial assumptions about which evidence you might acquire---in the case of conditionalization, the assumption is that, if you might learn that e, then it is not the (...)
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  • Bayesian Argumentation and the Value of Logical Validity.Benjamin Eva & Stephan Hartmann - 2018 - Psychological Review 125 (5):806-821.
    According to the Bayesian paradigm in the psychology of reasoning, the norms by which everyday human cognition is best evaluated are probabilistic rather than logical in character. Recently, the Bayesian paradigm has been applied to the domain of argumentation, where the fundamental norms are traditionally assumed to be logical. Here, we present a major generalisation of extant Bayesian approaches to argumentation that utilizes a new class of Bayesian learning methods that are better suited to modelling dynamic and conditional inferences than (...)
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  • Inference to the Best Explanation in Uncertain Evidential Situations.Borut Trpin & Max Pellert - forthcoming - British Journal for the Philosophy of Science.
    It has recently been argued that a non-Bayesian probabilistic version of inference to the best explanation (IBE*) has a number of advantages over Bayesian conditionalization (Douven [2013]; Douven and Wenmackers [2017]). We investigate how IBE* could be generalized to uncertain evidential situations and formulate a novel updating rule IBE**. We then inspect how it performs in comparison to its Bayesian counterpart, Jeffrey conditionalization (JC), in a number of simulations where two agents, each updating by IBE** and JC, respectively, try to (...)
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  • Dutch-Book Arguments Against Using Conditional Probabilities for Conditional Bets.Keith Hutchison - 2012 - Open Journal of Philosophy 2 (3):195.
    We consider here an important family of conditional bets, those that proceed to settlement if and only if some agreed evidence is received that a condition has been met. Despite an opinion widespread in the literature, we observe that when the evidence is strong enough to generate certainty as to whether the condition has been met or not, using traditional conditional probabilities for such bets will NOT preserve a gambler from having a synchronic Dutch Book imposed upon him. On the (...)
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  • The Structure of Radical Probabilism.Brian Skyrms - 1996 - Erkenntnis 45 (2-3):285 - 297.
    Does the philosophy of Radical Probabilism have enough structure to enable it to address fundamental epistemological questions? The requirement of dynamic coherence provides the structure for radical probabilist epistemology. This structure is sufficient to establish (i) the value of knowledge and (ii) long run convergence of degrees of belief.
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  • Incoherence Without Exploitability.Brian Hedden - 2013 - Noûs 47 (3):482-495.
  • 'The Kinematics of Belief and Desire.Richard Bradley - 2002 - Synthese 156 (3):513-535.
    Richard Jeffrey regarded the version of Bayesian decision theory he floated in ‘The Logic of Decision’ and the idea of a probability kinematics—a generalisation of Bayesian conditioning to contexts in which the evidence is ‘uncertain’—as his two most important contributions to philosophy. This paper aims to connect them by developing kinematical models for the study of preference change and practical deliberation. Preference change is treated in a manner analogous to Jeffrey’s handling of belief change: not as mechanical outputs of combinations (...)
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  • Time-Slice Rationality.Brian Hedden - 2015 - Mind 124 (494):449-491.
    I advocate Time-Slice Rationality, the thesis that the relationship between two time-slices of the same person is not importantly different, for purposes of rational evaluation, from the relationship between time-slices of distinct persons. The locus of rationality, so to speak, is the time-slice rather than the temporally extended agent. This claim is motivated by consideration of puzzle cases for personal identity over time and by a very moderate form of internalism about rationality. Time-Slice Rationality conflicts with two proposed principles of (...)
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  • Updating, Supposing, and Maxent.Brian Skyrms - 1987 - Theory and Decision 22 (3):225-246.
  • Ratifiability and the Logic of Decision1.Brian Skyrms - 1990 - Midwest Studies in Philosophy 15 (1):44-56.
  • It All Adds Up: The Dynamic Coherence of Radical Probabilism.S. L. Zabell - 2002 - Proceedings of the Philosophy of Science Association 2002 (3):S98-S103.
  • Infinitism and Probabilistic Justification.Benjamin Bewersdorf - 2014 - Synthese 191 (4):691-699.
    According to infinitism, beliefs can be justified by an infinite chain of reasons. So far, infinitism has rarely been taken seriously and often even dismissed as inconsistent. However, Peijnenburg and Atkinson have recently argued that beliefs can indeed be justified by an infinite chain of reasons, if justification is understood probabilistically. In the following, I will discuss the formal result that has led to this conclusion. I will then introduce three probabilistic explications of justification and examine to which extent they (...)
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  • A Dutch Book Theorem and Converse Dutch Book Theorem for Kolmogorov Conditionalization.Michael Rescorla - 2018 - Review of Symbolic Logic 11 (4):705-735.
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  • Diachronic Coherence and Radical Probabilism.Brian Skyrms - 2006 - Philosophy of Science 73 (5):959-968.
    The question of diachronic coherence, coherence of degrees of belief across time, is investigated within the context of Richard Jeffrey’s radical probabilism. Diachronic coherence is taken as fundamental, and coherence results for degrees of belief at a single time, such as additivity, are recovered only with additional assumptions. Additivity of probabilities of probabilities is seen to be less problematic than additivity of first-order probabilities. Without any assumed model of belief change, diachronic coherence applied to higher-order degrees of belief yields the (...)
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  • Self-Doubts and Dutch Strategies.Jordan Howard Sobel - 1987 - Australasian Journal of Philosophy 65 (1):56 – 81.
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  • Subjective Probability and its Dynamics.Alan Hajek & Julia Staffel - forthcoming - In Markus Knauff & Wolfgang Spohn (eds.), MIT Handbook of Rationality. MIT Press.
    This chapter is a philosophical survey of some leading approaches in formal epistemology in the so-called ‘Bayesian’ tradition. According to them, a rational agent’s degrees of belief—credences—at a time are representable with probability functions. We also canvas various further putative ‘synchronic’ rationality norms on credences. We then consider ‘diachronic’ norms that are thought to constrain how credences should respond to evidence. We discuss some of the main lines of recent debate, and conclude with some prospects for future research.
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  • A Dutch Book Theorem and Converse Dutch Book Theorem for Kolmogorov Conditionalization.Michael Rescorla - unknown
    This paper discusses how to update one’s credences based on evidence that has initial probability 0. I advance a diachronic norm, Kolmogorov Conditionalization, that governs credal reallocation in many such learning scenarios. The norm is based upon Kolmogorov’s theory of conditional probability. I prove a Dutch book theorem and converse Dutch book theorem for Kolmogorov Conditionalization. The two theorems establish Kolmogorov Conditionalization as the unique credal reallocation rule that avoids a sure loss in the relevant learning scenarios.
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  • It All Adds Up: The Dynamic Coherence of Radical Probabilism.S. L. Zabell - 2002 - Philosophy of Science 69 (S3):S98-S103.
  • Self-Respect Regained.Jake Chandler & Adam Rieger - 2011 - Proceedings of the Aristotelian Society 111 (2pt2):311-318.
    In a recent article, David Christensen casts aspersions on a restricted version of van Fraassen's Reflection principle, which he dubs ‘Self-Respect’(sr). Rejecting two possible arguments for sr, he concludes that the principle does not constitute a requirement of rationality. In this paper we argue that not only has Christensen failed to make a case against the aforementioned arguments, but that considerations pertaining to Moore's paradox indicate that sr, or at the very least a mild weakening thereof, is indeed a plausible (...)
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  • Correlated Equilibria and the Dynamics of Rational Deliberation.Brian Skyrms - 1989 - Erkenntnis 31 (2-3):347 - 364.
  • Diachronic Coherence and Radical Probabilism.Brian Skyrms - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Philosophy of Science. Springer. pp. 253--261.
  • Options and Diachronic Tragedy.Brian Hedden - 2015 - Philosophy and Phenomenological Research 90 (2):423-451.
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