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What are degrees of belief

Studia Logica 86 (2):185-215 (2007)

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  1. Better Foundations for Subjective Probability.Sven Neth - forthcoming - Australasian Journal of Philosophy.
    How do we ascribe subjective probability? In decision theory, this question is often addressed by representation theorems, going back to Ramsey (1926), which tell us how to define or measure subjective probability by observable preferences. However, standard representation theorems make strong rationality assumptions, in particular expected utility maximization. How do we ascribe subjective probability to agents which do not satisfy these strong rationality assumptions? I present a representation theorem with weak rationality assumptions which can be used to define or measure (...)
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  • The Cognitive Science of Credence.Elizabeth Jackson - forthcoming - In Neil Van Leeuwen & Tania Lombrozo (eds.), The Oxford Handbook of the Cognitive Science of Belief. Oxford, UK: Oxford University Press.
    Credences are similar to levels of confidence, represented as a value on the [0,1] interval. This chapter sheds light on questions about credence, including its relationship to full belief, with an eye toward the empirical relevance of credence. First, I’ll provide a brief epistemological history of credence and lay out some of the main theories of the nature of credence. Then, I’ll provide an overview of the main views on how credences relate to full beliefs. Finally, I’ll turn to the (...)
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  • Belief, Knowledge and Practical Matters.Jie Gao - 2024 - Hangzhou: Zhejiang University Press.
    This book takes purism about knowledge as the default position and defends it from the challenges of pragmatic encroachment. The book is divided into two parts, a negative and a positive one. The negative part critically examines existing purist strategies in response to pragmatic encroachment. The positive part provides a new theory of how practical factors can systematically influence our confidence and explores some implications of such influence.
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  • Belief and Degrees of Belief.Franz Huber - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: 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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  • Non-additive degrees of belief.Rolf Haenni - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 121--159.
  • Arguments For—Or Against—Probabilism?Alan Hájek - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 229--251.
    Four important arguments for probabilism—the Dutch Book, representation theorem, calibration, and gradational accuracy arguments—have a strikingly similar structure. Each begins with a mathematical theorem, a conditional with an existentially quantified consequent, of the general form: if your credences are not probabilities, then there is a way in which your rationality is impugned. Each argument concludes that rationality requires your credences to be probabilities. I contend that each argument is invalid as formulated. In each case there is a mirror-image theorem and (...)
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  • Degrees of belief.Franz Huber & Christoph Schmidt-Petri (eds.) - 2009 - London: Springer.
    Various theories try to give accounts of how measures of this confidence do or ought to behave, both as far as the internal mental consistency of the agent as ...
  • The Nomic Likelihood Account of Laws.Christopher J. G. Meacham - 2023 - Ergo: An Open Access Journal of Philosophy 9 (9):230-284.
    An adequate account of laws should satisfy at least five desiderata: it should provide a unified account of laws and chances, it should yield plausible relations between laws and chances, it should vindicate numerical chance assignments, it should accommodate dynamical and non-dynamical chances, and it should accommodate a plausible range of nomic possibilities. No extant account of laws satisfies these desiderata. This paper presents a non-Humean account of laws, the Nomic Likelihood Account, that does.
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  • On the “tension” inherent in self-deception.Kevin Lynch - 2012 - Philosophical Psychology 25 (3):433-450.
    Alfred Mele's deflationary account of self-deception has frequently been criticised for being unable to explain the “tension” inherent in self-deception. These critics maintain that rival theories can better account for this tension, such as theories which suppose self-deceivers to have contradictory beliefs. However, there are two ways in which the tension idea has been understood. In this article, it is argued that on one such understanding, Mele's deflationism can account for this tension better than its rivals, but only if we (...)
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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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  • 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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  • The Oxford Handbook of the Cognitive Science of Belief.Neil Van Leeuwen & Tania Lombrozo (eds.) - forthcoming - Oxford University Press: Oxford.
  • 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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  • Are Credences Different From Beliefs?Roger Clarke & Julia Staffel - forthcoming - In Ernest Sosa, Matthias Steup, John Turri & Blake Roeber (eds.), Contemporary Debates in Epistemology, 3rd edition. Wiley-Blackwell.
    This is a three-part exchange on the relationship between belief and credence. It begins with an opening essay by Roger Clarke that argues for the claim that the notion of credence generalizes the notion of belief. Julia Staffel argues in her reply that we need to distinguish between mental states and models representing them, and that this helps us explain what it could mean that belief is a special case of credence. Roger Clarke's final essay reflects on the compatibility of (...)
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  • Credences are Beliefs about Probabilities: A Defense from Triviality.Benjamin Lennertz - 2023 - Erkenntnis 89 (3):1235-1255.
    It is often claimed that credences are not reducible to ordinary beliefs about probabilities. Such a reduction appears to be decisively ruled out by certain sorts of triviality results–analogous to those often discussed in the literature on conditionals. I show why these results do not, in fact, rule out the view. They merely give us a constraint on what such a reduction could look like. In particular they show that there is no single proposition belief in which suffices for having (...)
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  • Credence and Correctness: In Defense of Credal Reductivism.Matthew Brandon Lee - 2017 - Philosophical Papers 46 (2):273-296.
    Credal reductivism is the view that outright belief is reducible to degrees of confidence or ‘credence’. The most popular versions of credal reductivism all have the consequence that if you are near-maximally confident that p in a low-stakes situation, then you outright believe p. This paper addresses a recent objection to this consequence—the Correctness Objection— introduced by Jeremy Fantl and Matthew McGrath and further developed by Jacob Ross and Mark Schroeder. The objection is that near-maximal confidence cannot entail outright belief (...)
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  • Decision Theory.Katie Steele & H. Orri Stefánsson - 2012 - In Peter Adamson (ed.), Stanford Encyclopedia of Philosophy. Stanford Encyclopedia of Philosophy.
  • Uncertain Values: An Axiomatic Approach to Axiological Uncertainty.Stefan Riedener - 2021 - Berlin, Germany: De Gruyter.
    How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it is for such facts to hold. Also, EVM (...)
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  • An Objectivist’s Guide to Subjective Reasons.Daniel Wodak - 2019 - Res Philosophica 96 (2):229-244.
    The distinction between objective and subjective reasons plays an important role in both folk normative thought and many research programs in metaethics. But the relation between objective and subjective reasons is unclear. This paper explores problems related to the unity of objective and subjective reasons for actions and attitudes and then offers a novel objectivist account of subjective reasons.
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  • Entrepreneurial Beliefs and Agency under Knightian Uncertainty.Randall E. Westgren & Travis L. Holmes - 2021 - Philosophy of Management 21 (2):199-217.
    At the centenary of Frank H. Knight’s Risk, Uncertainty, and Profit, we explore the continuing relevance of Knightian uncertainty to the theory and practice of entrepreneurship. There are three challenges facing such assessment. First, RUP is complex and difficult to interpret. The key but neglected element of RUP is that Knight’s account is not solely about risk and uncertainty as states of nature, but about how an agent’s beliefs about uncertain outcomes and confidence in those beliefs guide their choices. Second, (...)
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  • Entrepreneurial beleifs and agency under Knightian uncertainty.Randall Westgren & Travis Holmes - 2021 - Philosophy of Management 22 (2):199-217.
    At the centenary of Frank H. Knight’s Risk, Uncertainty, and Profit (1921), we explore the continuing relevance of Knightian uncertainty to the theory and practice of entrepreneurship. There are three challenges facing such assessment. First, RUP is complex and difficult to interpret. The key but neglected element of RUP is that Knight’s account is not solely about risk and uncertainty as states of nature, but about how an agent’s beliefs about uncertain outcomes and confidence in those beliefs guide their choices. (...)
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  • The Puzzle of Belief.Neil Van Leeuwen & Tania Lombrozo - 2023 - Cognitive Science 47 (2):e13245.
    The notion of belief appears frequently in cognitive science. Yet it has resisted definition of the sort that could clarify inquiry. How then might a cognitive science of belief proceed? Here we propose a form of pluralism about believing. According to this view, there are importantly different ways to "believe" an idea. These distinct psychological kinds occur within a multi-dimensional property space, with different property clusters within that space constituting distinct varieties of believing. We propose that discovering such property clusters (...)
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  • What is "real" in Probabilism?H. Orri Stefánsson - 2017 - Australasian Journal of Philosophy 95 (3):573-587.
    This paper defends two related claims about belief. First, the claim that unlike numerical degrees of belief, comparative beliefs are primitive and psychologically real. Second, the claim that the fundamental norm of Probabilism is not that numerical degrees of belief should satisfy the probability axioms, but rather that comparative beliefs should satisfy certain constraints.
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  • Rational monism and rational pluralism.Jack Spencer - 2020 - Philosophical Studies 178 (6):1769-1800.
    Consequentialists often assume rational monism: the thesis that options are always made rationally permissible by the maximization of the selfsame quantity. This essay argues that consequentialists should reject rational monism and instead accept rational pluralism: the thesis that, on different occasions, options are made rationally permissible by the maximization of different quantities. The essay then develops a systematic form of rational pluralism which, unlike its rivals, is capable of handling both the Newcomb problems that challenge evidential decision theory and the (...)
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  • The Composite Nature of Epistemic Justification.Paul Silva - 2017 - Pacific Philosophical Quarterly 98 (1).
    According to many, to have epistemic justification to believe P is just for it to be epistemically permissible to believe P. Others think it is for believing P to be epistemically good. Yet others think it has to do with being epistemically blameless in believing P. All such views of justification encounter problems. Here, a new view of justification is proposed according to which justification is a kind of composite normative status. The result is a view of justification that offers (...)
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  • What is (Dis)Agreement?Darrell Patrick Rowbottom - 2018 - Philosophy and Phenomenological Research 97 (1):223-236.
    When do we agree? The answer might once have seemed simple and obvious; we agree that p when we each believe that p. But from a formal epistemological perspective, where degrees of belief are more fundamental than beliefs, this answer is unsatisfactory. On the one hand, there is reason to suppose that it is false; degrees of belief about p might differ when beliefs simpliciter on p do not. On the other hand, even if it is true, it is too (...)
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  • Group Level Interpretations of Probability: New Directions.Darrell Patrick Rowbottom - 2013 - Pacific Philosophical Quarterly 94 (2):188-203.
    In this article, I present some new group level interpretations of probability, and champion one in particular: a consensus-based variant where group degrees of belief are construed as agreed upon betting quotients rather than shared personal degrees of belief. One notable feature of the account is that it allows us to treat consensus between experts on some matter as being on the union of their relevant background information. In the course of the discussion, I also introduce a novel distinction between (...)
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  • How can representationalism accommodate degrees of belief? A dispositional representationalist proposal.Darrell P. Rowbottom - 2021 - Synthese 199 (3-4):8943-8964.
    This paper argues that representationalism of a Fodorian variety can accommodate the fact that beliefs come in degrees. First, it responds to two key arguments to the contrary. Second, it builds upon these responses and outlines a novel representationalist theory of degrees of beliefs. I call this theory dispositional representationalism, as it involves direct appeal to our dispositions to form representations and propositional attitudes concerning them.
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  • How might degrees of belief shift? On action conflicting with professed beliefs.Darrell Patrick Rowbottom - 2016 - Philosophical Psychology 29 (5):732-742.
    People often act in ways that appear incompatible with their sincere assertions. But how might we explain such cases? On the shifting view, subjects’ degrees of belief may be highly sensitive to changes in context. This paper articulates and refines this view, after defending it against recent criticisms. It details two mechanisms by which degrees of beliefs may shift.
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  • Book review : Objective Bayesianism defended? [REVIEW]Darrell Patrick Rowbottom - 2011 - Metascience 21 (1):193-196.
    Darrell P. Rowbottom reviews the book "In defense of objective Bayesianism" by Jon Williamson.
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  • Knowledge of Our Own Beliefs.Sherrilyn Roush - 2016 - Philosophy and Phenomenological Research 93 (3):45-69.
    There is a widespread view that in order to be rational we must mostly know what we believe. In the probabilistic tradition this is defended by arguments that a person who failed to have this knowledge would be vulnerable to sure loss, or probabilistically incoherent. I argue that even gross failure to know one's own beliefs need not expose one to sure loss, and does not if we follow a generalization of the standard bridge principle between first-order and second-order beliefs. (...)
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  • Is Every Theory of Knowledge False?Blake Roeber - 2019 - Noûs 54 (4):839-866.
    Is knowledge consistent with literally any credence in the relevant proposition, including credence 0? Of course not. But is credence 0 the only credence in p that entails that you don’t know that p? Knowledge entails belief (most epistemologists think), and it’s impossible to believe that p while having credence 0 in p. Is it true that, for every value of ‘x,’ if it’s impossible to know that p while having credence x in p, this is simply because it’s impossible (...)
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  • Normative certitude for expressivists.Michael Ridge - 2020 - Synthese 197 (8):3325-3347.
    Quasi-realists aspire to accommodate core features of ordinary normative thought and discourse in an expressivist framework. One apparent such feature is that we can be more or less confident in our normative judgments—they vary in credence. Michael Smith has argued that quasi-realists cannot plausibly accommodate these distinctions simply because they understand normative judgments as desires, but desires lack the structure needed to distinguish these three features. Existing attempts to meet Smith’s challenge have accepted Smith’s presupposition that the way to meet (...)
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  • Risk, rationality and expected utility theory.Richard Pettigrew - 2015 - Canadian Journal of Philosophy 45 (5-6):798-826.
    There are decision problems where the preferences that seem rational to many people cannot be accommodated within orthodox decision theory in the natural way. In response, a number of alternatives to the orthodoxy have been proposed. In this paper, I offer an argument against those alternatives and in favour of the orthodoxy. I focus on preferences that seem to encode sensitivity to risk. And I focus on the alternative to the orthodoxy proposed by Lara Buchak’s risk-weighted expected utility theory. I (...)
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  • The strength of faith and trust.Michael Pace - 2017 - International Journal for Philosophy of Religion 81 (1-2):135-150.
    While there has been considerable interest in the nature of faith and trust in recent philosophical literature, relatively little has been said about what it is for faith or trust to be psychologically stronger or weaker. Drawing on recent accounts of propositional faith by Daniel Howard-Snyder and Lara Buchak, I argue that the strength of one’s faith can vary in two distinct dimensions. The first primarily involves the extent to which one’s confidence motivates one to take risks. The second involves (...)
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  • On the interpretation of decision theory.Samir Okasha - 2016 - Economics and Philosophy 32 (3):409-433.
    :This paper explores the contrast between mentalistic and behaviouristic interpretations of decision theory. The former regards credences and utilities as psychologically real, while the latter regards them as mere representations of an agent's preferences. Philosophers typically adopt the former interpretation, economists the latter. It is argued that the mentalistic interpretation is preferable if our aim is to use decision theory for descriptive purposes, but if our aim is normative then the behaviouristic interpretation cannot be dispensed with.
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  • Uncertainty Without All the Doubt.Aaron Norby - 2015 - Mind and Language 30 (1):70-94.
    I investigate whether degreed beliefs are able to play the predictive, explanatory, and modeling roles that they are frequently taken to play. The investigation focuses on evidence—both from sources familiar in epistemology as well as recent work in behavioral economics and cognitive psychology—of variability in agents' apparent degrees of belief. Although such variability has been noticed before, there has been little philosophical discussion of its breadth or of the psychological mechanisms underlying it. Once these are appreciated, the inadequacy of degrees (...)
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  • A new puzzle about belief and credence.Andrew Moon - 2019 - Canadian Journal of Philosophy 49 (2):272-291.
    I present a puzzle about belief and credence, which takes the form of three independently supported views that are mutually inconsistent. The first is the view that S has a modal belief that p (e.g., S believes that probably-p) if and only if S has a corresponding credence that p. The second is the view that S believes that p only if S has some credence that p. The third is the view that, possibly, S believes that p without a (...)
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  • Representation theorems and the foundations of decision theory.Christopher J. G. Meacham & Jonathan Weisberg - 2011 - Australasian Journal of Philosophy 89 (4):641 - 663.
    Representation theorems are often taken to provide the foundations for decision theory. First, they are taken to characterize degrees of belief and utilities. Second, they are taken to justify two fundamental rules of rationality: that we should have probabilistic degrees of belief and that we should act as expected utility maximizers. We argue that representation theorems cannot serve either of these foundational purposes, and that recent attempts to defend the foundational importance of representation theorems are unsuccessful. As a result, we (...)
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  • The dispositional account of credence.Anna Mahtani - 2020 - Philosophical Studies 177 (3):727-745.
    In this paper I offer an alternative - the ‘dispositional account’ - to the standard account of imprecise probabilism. Whereas for the imprecise probabilist, an agent’s credal state is modelled by a set of credence functions, on the dispositional account an agent’s credal state is modelled by a set of sets of credence functions. On the face of it, the dispositional account looks less elegant than the standard account – so why should we be interested? I argue that the dispositional (...)
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  • Vague Credence.Aidan Lyon - 2017 - Synthese 194 (10):3931-3954.
    It is natural to think of precise probabilities as being special cases of imprecise probabilities, the special case being when one’s lower and upper probabilities are equal. I argue, however, that it is better to think of the two models as representing two different aspects of our credences, which are often vague to some degree. I show that by combining the two models into one model, and understanding that model as a model of vague credence, a natural interpretation arises that (...)
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  • The Decision-Theoretic Lockean Thesis.Dustin Troy Locke - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (1):28-54.
    Certain philosophers maintain that there is a ‘constitutive threshold for belief’: to believe that p just is to have a degree of confidence that p above a certain threshold. On the basis of this view, these philosophers defend what is known as ‘the Lockean Thesis ’, according to which it is rational to believe that p just in case it is rational to have a degree of confidence that p above the constitutive threshold for belief. While not directly speaking to (...)
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  • Imprecise Credences and Acceptance.Benjamin Lennertz - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    Elga (2010) argues that no plausible decision rule governs action with imprecise credences. I follow Moss (2015a) in claiming that the solution to Elga’s challenge is found in the philosophy of mind, not in devising a special new decision rule. Moss suggests that in decision situations that involve imprecise credences, we must identify with a precise credence, but she says little about identification. By reflecting on the common conception of identification and on what is necessary for Moss’s solution to succeed, (...)
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  • Just Probabilities.Chad Lee-Stronach - forthcoming - Noûs.
    I defend the thesis that legal standards of proof are reducible to thresholds of probability. Many have rejected this thesis because it seems to entail that defendants can be found liable solely on the basis of statistical evidence. I argue that this inference is invalid. I do so by developing a view, called Legal Causalism, that combines Thomson's (1986) causal analysis of evidence with recent work in formal theories of causal inference. On this view, legal standards of proof can be (...)
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  • Bayesian Epistemology.Jürgen Landes - 2022 - Kriterion – Journal of Philosophy 36 (1):1-7.
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  • Intellectual Humility: Lessons from the Preface Paradox.Jonathan L. Kvanvig - 2016 - Res Philosophica 93 (3):1-532.
    One response to the preface paradox—the paradox that arises when each claim in a book is justified for the author and yet in the preface the author avers that errors remain—counsels against the preface belief. It is this line of thought that poses a problem for any view that places a high value on intellectual humility. If we become suspicious of preface beliefs, it will be a challenge to explain how expressions of fallibility and intellectual humility are appropriate, whether voiced (...)
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  • Credence as doxastic tendency.Dominik Kauss - 2020 - Synthese 197 (10):4495-4518.
    This paper addresses the ongoing debate over the relation between belief and credence. A proposal is made to reverse the currently predominant order of analysis, by taking belief as conceptually basic and credence as the phenomenon to be clarified. In brief, the proposal is to explicate an agent’s credence in a proposition P as the agent’s tendency toward believing P. Platitudinous as this reduction may seem, it runs counter to all of the major positions in the debate, including the Threshold (...)
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  • Context-sensitivity and the Preface Paradox for credence.Dominik Kauss - 2021 - Synthese 199 (3-4):7303-7320.
    It’s intuitively plausible to suppose that there are many things that we can be rationally certain of, at least in many contexts. The present paper argues that, given this principle of Abundancy, there is a Preface Paradox for credence. Section 1 gives a statement of the paradox, discusses its relation to its familiar counterpart for belief, and points out the congeniality between Abundancy and broadly contextualist trends in epistemology. This leads to the question whether considerations of context-sensitivity might lend themselves (...)
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  • Why Credences Are Not Beliefs.Elizabeth Jackson - 2022 - Australasian Journal of Philosophy 100 (2):360-370.
    A question of recent interest in epistemology and philosophy of mind is how belief and credence relate to each other. A number of philosophers argue for a belief-first view of the relationship between belief and credence. On the belief-first view, what it is to have a credence just is to have a particular kind of belief, that is, a belief whose content involves probabilities or epistemic modals. Here, I argue against the belief-first view: specifically, I argue that it cannot account (...)
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  • The Relationship Between Belief and Credence.Elizabeth G. Jackson - 2020 - Philosophy Compass 15 (6):1–13.
    Sometimes epistemologists theorize about belief, a tripartite attitude on which one can believe, withhold belief, or disbelieve a proposition. In other cases, epistemologists theorize about credence, a fine-grained attitude that represents one’s subjective probability or confidence level toward a proposition. How do these two attitudes relate to each other? This article explores the relationship between belief and credence in two categories: descriptive and normative. It then explains the broader significance of the belief-credence connection and concludes with general lessons from the (...)
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