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What conditional probability could not be

Synthese 137 (3):273--323 (2003)

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  1. Imprecise Probability and Higher Order Vagueness.Susanne Rinard - 2017 - Res Philosophica 94 (2):257-273.
    There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...)
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  • Dogmatism, Probability, and Logical Uncertainty.David Jehle & Brian Weatherson - 2012 - In Greg Restall & Gillian Kay Russell (eds.), New waves in philosophical logic. New York: Palgrave-Macmillan. pp. 95--111.
    Many epistemologists hold that an agent can come to justifiably believe that p is true by seeing that it appears that p is true, without having any antecedent reason to believe that visual impressions are generally reliable. Certain reliabilists think this, at least if the agent’s vision is generally reliable. And it is a central tenet of dogmatism (as described by Pryor (2000) and Pryor (2004)) that this is possible. Against these positions it has been argued (e.g. by Cohen (2005) (...)
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  • Contrastive Bayesianism.Branden Fitelson - 2013 - In Martijn Blaauw (ed.), Contrastivism in philosophy. New York: Routledge/Taylor & Francis Group.
    Bayesianism provides a rich theoretical framework, which lends itself rather naturally to the explication of various “contrastive” and “non-contrastive” concepts. In this (brief) discussion, I will focus on issues involving “contrastivism”, as they arise in some of the recent philosophy of science, epistemology, and cognitive science literature surrounding Bayesian confirmation theory.
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  • How to Read a Representor.Edward Elliott - forthcoming - Ergo.
    Imprecise probabilities are often modelled with representors, or sets of probability functions. In the recent literature, two ways of interpreting representors have emerged as especially prominent: vagueness interpretations, according to which each probability function in the set represents how the agent's beliefs would be if any vagueness were precisified away; and comparativist interpretations, according to which the set represents those comparative confidence relations that are common to all probability functions therein. I argue that these interpretations have some important limitations. I (...)
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  • Higher-Order Evidence and the Dynamics of Self-Location: An Accuracy-Based Argument for Calibrationism.Brett Topey - 2022 - Erkenntnis 89 (4):1407-1433.
    The thesis that agents should calibrate their beliefs in the face of higher-order evidence—i.e., should adjust their first-order beliefs in response to evidence suggesting that the reasoning underlying those beliefs is faulty—is sometimes thought to be in tension with Bayesian approaches to belief update: in order to obey Bayesian norms, it’s claimed, agents must remain steadfast in the face of higher-order evidence. But I argue that this claim is incorrect. In particular, I motivate a minimal constraint on a reasonable treatment (...)
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  • Non-Ideal Decision Theory.Sven Neth - 2023 - Dissertation, University of California, Berkeley
    My dissertation is about Bayesian rationality for non-ideal agents. I show how to derive subjective probabilities from preferences using much weaker rationality assumptions than other standard representation theorems. I argue that non-ideal agents might be uncertain about how they will update on new information and consider two consequences of this uncertainty: such agents should sometimes reject free information and make choices which, taken together, yield sure loss. The upshot is that Bayesian rationality for non-ideal agents makes very different normative demands (...)
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  • Bertrand’s Paradox and the Principle of Indifference.Nicholas Shackel - 2023 - Abingdon: Routledge.
    Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand’s chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand’s Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same time, the (...)
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  • No Being Sure of Myself.Derek Lam - manuscript
    It’s intuitive to think that an intentional action requires that the agent knows that she’s doing so. In light of some apparent counterexamples, Setiya suggests that this intuitive insight is better captured in terms of credence: performing an intentional action requires the agent to have a higher credence that she’s doing so than she would have otherwise. I argue that there is no such thing as an agent’s credence for what she’s doing. After distinguishing this thesis from an idea some (...)
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  • Ramsey’s conditionals.Mario Günther & Caterina Sisti - 2022 - Synthese 200 (2):1-31.
    In this paper, we propose a unified account of conditionals inspired by Frank Ramsey. Most contemporary philosophers agree that Ramsey’s account applies to indicative conditionals only. We observe against this orthodoxy that his account covers subjunctive conditionals as well—including counterfactuals. In light of this observation, we argue that Ramsey’s account of conditionals resembles Robert Stalnaker’s possible worlds semantics supplemented by a model of belief. The resemblance suggests to reinterpret the notion of conditional degree of belief in order to overcome a (...)
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  • 24 Reflections on Infinite Utility and Deliberation in Pascal’s Wager.Alan Hájek - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 493-510.
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  • Not So Phenomenal!John Hawthorne & Maria Lasonen-Aarnio - 2021 - Philosophical Review 130 (1):1-43.
    The main aims in this article are to discuss and criticize the core thesis of a position that has become known as phenomenal conservatism. According to this thesis, its seeming to one that p provides enough justification for a belief in p to be prima facie justified. This thesis captures the special kind of epistemic import that seemings are claimed to have. To get clearer on this thesis, the article embeds it, first, in a probabilistic framework in which updating on (...)
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  • Ontology of Divinity.Mirosław Szatkowski (ed.) - 2024 - De Gruyter.
    This volume announces a new era in the philosophy of God. Many of its contributions work to create stronger links between the philosophy of God, on the one hand, and mathematics or metamathematics, on the other hand. It is about not only the possibilities of applying mathematics or metamathematics to questions about God, but also the reverse question: Does the philosophy of God have anything to offer mathematics or metamathematics? The remaining contributions tackle stereotypes in the philosophy of religion. The (...)
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  • Philosophy, Drama and Literature.Rick Benitez - 2011 - In Graham Robert Oppy, Nick Trakakis, Lynda Burns, Steven Gardner & Fiona Leigh (eds.), A companion to philosophy in Australia & New Zealand. Clayton, Victoria, Australia: Monash University Publishing. pp. 371-372.
    Philosophy and Literature is an internationally renowned refereed journal founded by Denis Dutton at the University of Canterbury, Christchurch. It is now published by the Johns Hopkins University Press. Since its inception in 1976, Philosophy and Literature has been concerned with the relation between literary and philosophical studies, publishing articles on the philosophical interpretation of literature as well as the literary treatment of philosophy. Philosophy and Literature has sometimes been regarded as iconoclastic, in the sense that it repudiates academic pretensions, (...)
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  • A puzzle about epistemic akrasia.Daniel Greco - 2014 - Philosophical Studies 167 (2):201-219.
    In this paper I will present a puzzle about epistemic akrasia, and I will use that puzzle to motivate accepting some non-standard views about the nature of epistemological judgment. The puzzle is that while it seems obvious that epistemic akrasia must be irrational, the claim that epistemic akrasia is always irrational amounts to the claim that a certain sort of justified false belief—a justified false belief about what one ought to believe—is impossible. But justified false beliefs seem to be possible (...)
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  • Polarization and Belief Dynamics in the Black and White Communities: An Agent-Based Network Model from the Data.Patrick Grim, Stephen B. Thomas, Stephen Fisher, Christopher Reade, Daniel J. Singer, Mary A. Garza, Craig S. Fryer & Jamie Chatman - 2012 - In Christoph Adami, David M. Bryson, Charles Offria & Robert T. Pennock (eds.), Artificial Life 13. MIT Press.
    Public health care interventions—regarding vaccination, obesity, and HIV, for example—standardly take the form of information dissemination across a community. But information networks can vary importantly between different ethnic communities, as can levels of trust in information from different sources. We use data from the Greater Pittsburgh Random Household Health Survey to construct models of information networks for White and Black communities--models which reflect the degree of information contact between individuals, with degrees of trust in information from various sources correlated with (...)
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  • Meditations on Beliefs Formed Arbitrarily.Miriam Schoenfield - 2022 - In Tamar Szabó Gendler, John Hawthorne & Julianne Chung (eds.), Oxford Studies in Epistemology 7. Oxford, GB: Oxford University Press. pp. 278-305.
    Had we grown up elsewhere or been educated differently, our view of the world would likely be radically different. What to make of this? This paper takes an accuracy-centered first-personal approach to the question of how to respond to the arbitrary nature in which many of our beliefs are formed. I show how considerations of accuracy motivate different responses to this sort of information depending on the type of attitude we take towards the belief in question upon subjecting the belief (...)
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  • Probabilities, Causes and Propensities in Physics.Mauricio Suárez - 2010 - In Probabilities, Causes and Propensities in Physics. New York: Springer.
    These are the introduction chapters to the forthcoming collection of essays published by Springer (Synthese Library) and entitled Probabilities, Causes and Propensities in Physics.
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  • A classical way forward for the regularity and normalization problems.Alexander R. Pruss - 2021 - Synthese 199 (5-6):11769-11792.
    Bayesian epistemology has struggled with the problem of regularity: how to deal with events that in classical probability have zero probability. While the cases most discussed in the literature, such as infinite sequences of coin tosses or continuous spinners, do not actually come up in scientific practice, there are cases that do come up in science. I shall argue that these cases can be resolved without leaving the realm of classical probability, by choosing a probability measure that preserves “enough” regularity. (...)
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  • Regular probability comparisons imply the Banach–Tarski Paradox.Alexander R. Pruss - 2014 - Synthese 191 (15):3525-3540.
    Consider the regularity thesis that each possible event has non-zero probability. Hájek challenges this in two ways: there can be nonmeasurable events that have no probability at all and on a large enough sample space, some probabilities will have to be zero. But arguments for the existence of nonmeasurable events depend on the axiom of choice. We shall show that the existence of anything like regular probabilities is by itself enough to imply a weak version of AC sufficient to prove (...)
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  • Popper Functions, Uniform Distributions and Infinite Sequences of Heads.Alexander R. Pruss - 2015 - Journal of Philosophical Logic 44 (3):259-271.
    Popper functions allow one to take conditional probabilities as primitive instead of deriving them from unconditional probabilities via the ratio formula P=P/P. A major advantage of this approach is it allows one to condition on events of zero probability. I will show that under plausible symmetry conditions, Popper functions often fail to do what they were supposed to do. For instance, suppose we want to define the Popper function for an isometrically invariant case in two dimensions and hence require the (...)
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  • Underdetermination of infinitesimal probabilities.Alexander R. Pruss - 2018 - Synthese 198 (1):777-799.
    A number of philosophers have attempted to solve the problem of null-probability possible events in Bayesian epistemology by proposing that there are infinitesimal probabilities. Hájek and Easwaran have argued that because there is no way to specify a particular hyperreal extension of the real numbers, solutions to the regularity problem involving infinitesimals, or at least hyperreal infinitesimals, involve an unsatisfactory ineffability or arbitrariness. The arguments depend on the alleged impossibility of picking out a particular hyperreal extension of the real numbers (...)
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  • Non-classical probabilities invariant under symmetries.Alexander R. Pruss - 2021 - Synthese 199 (3-4):8507-8532.
    Classical real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value—namely, zero—to cases that are impossible as well as to cases that are possible. There are three non-classical approaches to probability that can avoid this drawback: full conditional probabilities, qualitative probabilities and hyperreal probabilities. These approaches have been criticized for failing to preserve intuitive symmetries that can be preserved by the classical probability framework, but there has not been a systematic study of the (...)
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  • Learning not to be Naïve: A comment on the exchange between Perrine/Wykstra and Draper.Lara Buchak - 2014 - In Justin McBrayer Trent Dougherty (ed.), Skeptical Theism: New Essays. Oxford University Press.
    Does postulating skeptical theism undermine the claim that evil strongly confirms atheism over theism? According to Perrine and Wykstra, it does undermine the claim, because evil is no more likely on atheism than on skeptical theism. According to Draper, it does not undermine the claim, because evil is much more likely on atheism than on theism in general. I show that the probability facts alone do not resolve their disagreement, which ultimately rests on which updating procedure – conditionalizing or updating (...)
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  • The structure of epistemic probabilities.Nevin Climenhaga - 2020 - Philosophical Studies 177 (11):3213-3242.
    The epistemic probability of A given B is the degree to which B evidentially supports A, or makes A plausible. This paper is a first step in answering the question of what determines the values of epistemic probabilities. I break this question into two parts: the structural question and the substantive question. Just as an object’s weight is determined by its mass and gravitational acceleration, some probabilities are determined by other, more basic ones. The structural question asks what probabilities are (...)
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  • Interpretive Implications of the Sample Space.Dan D. November - 2019 - Phisciarchive.
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  • The Bayesian and the Dogmatist.Brian Weatherson - 2007 - Proceedings of the Aristotelian Society 107 (1pt2):169-185.
    Dogmatism is sometimes thought to be incompatible with Bayesian models of rational learning. I show that the best model for updating imprecise credences is compatible with dogmatism.
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  • Against Radical Credal Imprecision.Susanna Rinard - 2013 - Thought: A Journal of Philosophy 2 (1):157-165.
    A number of Bayesians claim that, if one has no evidence relevant to a proposition P, then one's credence in P should be spread over the interval [0, 1]. Against this, I argue: first, that it is inconsistent with plausible claims about comparative levels of confidence; second, that it precludes inductive learning in certain cases. Two motivations for the view are considered and rejected. A discussion of alternatives leads to the conjecture that there is an in-principle limitation on formal representations (...)
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  • Explanationist aid for the theory of inductive logic.Michael Huemer - 2009 - British Journal for the Philosophy of Science 60 (2):345-375.
    A central problem facing a probabilistic approach to the problem of induction is the difficulty of sufficiently constraining prior probabilities so as to yield the conclusion that induction is cogent. The Principle of Indifference, according to which alternatives are equiprobable when one has no grounds for preferring one over another, represents one way of addressing this problem; however, the Principle faces the well-known problem that multiple interpretations of it are possible, leading to incompatible conclusions. I propose a partial solution to (...)
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  • Indifference, Sample Space, and the Wine/Water Paradox.Marc Burock - unknown - PhilSci Archive.
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  • Beyond Uncertainty: Reasoning with Unknown Possibilities.Katie Steele & H. Orri Stefánsson - 2021 - Cambridge University Press.
    The main aim of this book is to introduce the topic of limited awareness, and changes in awareness, to those interested in the philosophy of decision-making and uncertain reasoning.
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  • Propensities and Pragmatism.Mauricio Suárez - 2013 - Journal of Philosophy 110 (2):61-92.
    : This paper outlines a genuinely pragmatist conception of propensity, and defends it against common objections to the propensity interpretation of probability, prominently Humphreys’ paradox. The paper reviews the paradox and identifies one of its key assumptions, the identity thesis, according to which propensities are probabilities. The identity thesis is also involved in empiricist propensity interpretations deriving from Popper’s influential original proposal, and makes such interpretations untenable. As an alternative, I urge a return to Charles Peirce’s original insights on probabilistic (...)
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  • Context, Cognition and Conditionals.Chi-Hé Elder - 2019 - Basingstoke: Palgrave Macmillan.
    This book proposes a semantic theory of conditionals that can account for (i) the variability in usages that conditional sentences can be put; and (ii) both conditional sentences of the form ‘if p, q’ and those conditional thoughts that are expressed without using ‘if’. It presents theoretical arguments as well as empirical evidence from English and other languages in support of the thesis that an adequate study of conditionals has to go beyond an analysis of specific sentence forms or lexical (...)
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  • Bayesian Philosophy of Science.Jan Sprenger & Stephan Hartmann - 2019 - Oxford and New York: Oxford University Press.
    How should we reason in science? Jan Sprenger and Stephan Hartmann offer a refreshing take on classical topics in philosophy of science, using a single key concept to explain and to elucidate manifold aspects of scientific reasoning. They present good arguments and good inferences as being characterized by their effect on our rational degrees of belief. Refuting the view that there is no place for subjective attitudes in 'objective science', Sprenger and Hartmann explain the value of convincing evidence in terms (...)
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  • On the provenance of judgments of conditional probability.Jiaying Zhao, Anuj Shah & Daniel Osherson - 2009 - Cognition 113 (1):26-36.
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  • The relevance of self-locating beliefs.Michael G. Titelbaum - 2008 - Philosophical Review 117 (4):555-606.
    Can self-locating beliefs be relevant to non-self-locating claims? Traditional Bayesian modeling techniques have trouble answering this question because their updating rule fails when applied to situations involving contextsensitivity. This essay develops a fully general framework for modeling stories involving context-sensitive claims. The key innovations are a revised conditionalization rule and a principle relating models of the same story with different modeling languages. The essay then applies the modeling framework to the Sleeping Beauty Problem, showing that when Beauty awakens her degree (...)
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  • Detection of unfaithfulness and robust causal inference.Jiji Zhang & Peter Spirtes - 2008 - Minds and Machines 18 (2):239-271.
    Much of the recent work on the epistemology of causation has centered on two assumptions, known as the Causal Markov Condition and the Causal Faithfulness Condition. Philosophical discussions of the latter condition have exhibited situations in which it is likely to fail. This paper studies the Causal Faithfulness Condition as a conjunction of weaker conditions. We show that some of the weaker conjuncts can be empirically tested, and hence do not have to be assumed a priori. Our results lead to (...)
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  • VI-BayesianExpressivism.Seth Yalcin - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):123-160.
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  • Probability Operators.Seth Yalcin - 2010 - Philosophy Compass 5 (11):916-37.
    This is a study in the meaning of natural language probability operators, sentential operators such as probably and likely. We ask what sort of formal structure is required to model the logic and semantics of these operators. Along the way we investigate their deep connections to indicative conditionals and epistemic modals, probe their scalar structure, observe their sensitivity to contex- tually salient contrasts, and explore some of their scopal idiosyncrasies.
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  • Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
    Epistemic modal operators give rise to something very like, but also very unlike, Moore's paradox. I set out the puzzling phenomena, explain why a standard relational semantics for these operators cannot handle them, and recommend an alternative semantics. A pragmatics appropriate to the semantics is developed and interactions between the semantics, the pragmatics, and the definition of consequence are investigated. The semantics is then extended to probability operators. Some problems and prospects for probabilistic representations of content and context are explored.
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  • On the imprecision of full conditional probabilities.Gregory Wheeler & Fabio G. Cozman - 2021 - Synthese 199 (1-2):3761-3782.
    The purpose of this paper is to show that if one adopts conditional probabilities as the primitive concept of probability, one must deal with the fact that even in very ordinary circumstances at least some probability values may be imprecise, and that some probability questions may fail to have numerically precise answers.
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  • Ultralarge lotteries: Analyzing the Lottery Paradox using non-standard analysis.Sylvia Wenmackers - 2013 - Journal of Applied Logic 11 (4):452-467.
    A popular way to relate probabilistic information to binary rational beliefs is the Lockean Thesis, which is usually formalized in terms of thresholds. This approach seems far from satisfactory: the value of the thresholds is not well-specified and the Lottery Paradox shows that the model violates the Conjunction Principle. We argue that the Lottery Paradox is a symptom of a more fundamental and general problem, shared by all threshold-models that attempt to put an exact border on something that is intrinsically (...)
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  • New theory about old evidence. A framework for open-minded Bayesianism.Sylvia9 Wenmackers & Jan-Willem Romeijn - 2016 - Synthese 193 (4).
    We present a conservative extension of a Bayesian account of confirmation that can deal with the problem of old evidence and new theories. So-called open-minded Bayesianism challenges the assumption—implicit in standard Bayesianism—that the correct empirical hypothesis is among the ones currently under consideration. It requires the inclusion of a catch-all hypothesis, which is characterized by means of sets of probability assignments. Upon the introduction of a new theory, the former catch-all is decomposed into a new empirical hypothesis and a new (...)
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  • Have your cake and eat it too: The old principal principle reconciled with the new.Peter B. M. Vranas - 2004 - Philosophy and Phenomenological Research 69 (2):368–382.
    David Lewis (1980) proposed the Principal Principle (PP) and a “reformulation” which later on he called ‘OP’ (Old Principle). Reacting to his belief that these principles run into trouble, Lewis (1994) concluded that they should be replaced with the New Principle (NP). This conclusion left Lewis uneasy, because he thought that an inverse form of NP is “quite messy”, whereas an inverse form of OP, namely the simple and intuitive PP, is “the key to our concept of chance”. I argue (...)
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  • Have Your Cake and Eat It Too: The Old Principal Principle Reconciled with the New.Peter B. M. Vranas - 2004 - Philosophy and Phenomenological Research 69 (2):368-382.
    David Lewis (1980) proposed the Principal Principle (PP) and a “reformulation” which later on he called ‘OP’(Old Principle). Reacting to his belief that these principles run into trouble, Lewis (1994) concluded that they should be replaced with the New Principle (NP). This conclusion left Lewis uneasy, because he thought that an inverse form of NP is “quite messy”, whereas an inverse form of OP, namely the simple and intuitive PP, is “the key to our concept of chance”. I argue that, (...)
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  • What hinge epistemology and Bayesian epistemology can learn from each other.Olav Benjamin Vassend - 2023 - Asian Journal of Philosophy 2 (2):1-21.
    Hinge epistemology and Bayesianism are two prominent approaches in contemporary epistemology, but the relationship between these approaches has not been systematically studied. This paper formalizes the central commitments of hinge epistemology in a Bayesian framework and argues for the following two theses: (1) many of the types of claims that are treated as paradigmatic hinges in the hinge epistemology literature, such as the claim that there exists an external world of physical objects, are not capable of enabling rational inquiry, even (...)
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  • Sometimes It Is Better to Do Nothing: A New Argument for Causal Decision Theory.Olav Benjamin Vassend - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    It is often thought that the main significant difference between evidential decision theory and causal decision theory is that they recommend different acts in Newcomb-style examples (broadly construed) where acts and states are correlated in peculiar ways. However, this paper presents a class of non-Newcombian examples that evidential decision theory cannot adequately model whereas causal decision theory can. Briefly, the examples involve situations where it is clearly best to perform an act that will not influence the desired outcome. On evidential (...)
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  • The Agnostic Subtly Probabilified.Bas C. van Fraassen - 1998 - Analysis 58 (3):212-220.
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  • Degrees of Freedom.Pieter Thyssen & Sylvia Wenmackers - 2021 - Synthese 198 (11):10207-10235.
    Human freedom is in tension with nomological determinism and with statistical determinism. The goal of this paper is to answer both challenges. Four contributions are made to the free-will debate. First, we propose a classification of scientific theories based on how much freedom they allow. We take into account that indeterminism comes in different degrees and that both the laws and the auxiliary conditions can place constraints. A scientific worldview pulls towards one end of this classification, while libertarianism pulls towards (...)
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  • Regularity reformulated.Weng Hong Tang - 2012 - Episteme 9 (4):329-343.
    This paper focuses on the view that rationality requires that our credences be regular. I go through different formulations of the requirement, and show that they face several problems. I then formulate a version of the requirement that solves most of, if not all, these problems. I conclude by showing that an argument thought to support the requirement as traditionally formulated actually does not; if anything, the argument, slightly modified, supports my version of the requirement.Send article to KindleTo send this (...)
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  • The Complex Nexus of Evolutionary Fitness.Mauricio Suárez - 2022 - European Journal for Philosophy of Science 12 (1):1-26.
    The propensity nature of evolutionary fitness has long been appreciated and is nowadays amply discussed. The discussion has, however, on occasion followed long standing conflations in the philosophy of probability literature between propensities, probabilities, and frequencies. In this paper, I apply a more recent conception of propensities in modelling practice to some of the key issues, regarding the mathematical representation of fitness and how it may be regarded as explanatory. The ensuing complex nexus of fitness emphasises the distinction between biological (...)
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