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  1. Finite additivity, another lottery paradox and conditionalisation.Colin Howson - 2014 - Synthese 191 (5):1-24.
    In this paper I argue that de Finetti provided compelling reasons for rejecting countable additivity. It is ironical therefore that the main argument advanced by Bayesians against following his recommendation is based on the consistency criterion, coherence, he himself developed. I will show that this argument is mistaken. Nevertheless, there remain some counter-intuitive consequences of rejecting countable additivity, and one in particular has all the appearances of a full-blown paradox. I will end by arguing that in fact it is no (...)
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  • On the principle of intention agglomeration.Jing Zhu - 2010 - Synthese 175 (1):89 - 99.
    In this article, I first elaborate and refine the Principle of Intention Agglomeration (PIA), which was introduced by Michael Bratman as “a natural constraint on intention”. According to the PIA, the intentions of a rational agent should be agglomerative. The proposed refinement of the PIA is not only in accordance with the spirit of Bratman’s planning theory of intention as well as consistency constraints for intentions rooted in the theory, but also reveals some deep rationales of practical rationality regarding resource-limited (...)
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  • Hierarchical Propositions.Bruno Whittle - 2017 - Journal of Philosophical Logic 46 (2):215-231.
    The notion of a proposition is central to philosophy. But it is subject to paradoxes. A natural response is a hierarchical account and, ever since Russell proposed his theory of types in 1908, this has been the strategy of choice. But in this paper I raise a problem for such accounts. While this does not seem to have been recognized before, it would seem to render existing such accounts inadequate. The main purpose of the paper, however, is to provide a (...)
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  • Belief, information and reasoning.Bruno Whittle - 2012 - Philosophical Perspectives 26 (1):431-446.
    Here are two plausible ideas about belief. First: beliefs are our means of storing information. Second: if we believe something, then we are willing to use it in reasoning. But in this paper I introduce a puzzle that seems to show that these cannot both be right. The solution, I argue, is a new picture, on which there is a kind of belief for each idea. An account of these two kinds of belief is offered in terms of two components: (...)
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  • Two Facets of Belief.Bernhard Weiss - 2016 - International Journal of Philosophical Studies 24 (3):413-432.
    I begin by contrasting two facets of belief: that belief is a response to a sufficiency of evidence and that belief plays a role in one’s representation of reality. I claim that these conceptions of belief are in tension because whilst the latter – Representationalism – requires Logical Coherence of belief the former – Thresholdism – conflicts with Logical Coherence. Thus we need to choose between conceptions. Many have argued that the Preface Paradox supports Thresholdism. In contrast I argue that (...)
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  • Answering the Bayesian Challenge.Mark Sargent - 2009 - Erkenntnis 70 (2):237-252.
    This essay answers the “Bayesian Challenge,” which is an argument offered by Bayesians that concludes that belief is not relevant to rational action. Patrick Maher and Mark Kaplan argued that this is so because there is no satisfactory way of making sense of how it would matter. The two ways considered so far, acting as if a belief is true and acting as if a belief has a probability over a threshold, do not work. Contrary to Maher and Kaplan, Keith (...)
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  • Suspending belief in credal accounts.Andrew del Rio - 2024 - Noûs 58 (1):3-25.
    Traditionally epistemologists have taken doxastic states to come in three varieties—belief, disbelief, and suspension. Recently many epistemologists have taken our doxastic condition to be usefully represented by credences—quantified degrees of belief. Moreover, some have thought that this new credal picture is sufficient to account for everything we want to explain with the old traditional picture. Therefore, belief, disbelief, and suspension must map onto the new picture somehow. In this paper I challenge that possibility. Approaching the question from the angle of (...)
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  • Coming to Terms with our Human Fallibility: Christensen on the Preface.Mark Kaplan - 2012 - Philosophy and Phenomenological Research 87 (1):1-35.
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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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  • Teaching & Learning Guide for: The Relationship Between Belief and Credence.Elizabeth Jackson - 2020 - Philosophy Compass 15 (6):e12670.
    This guide accompanies the following article(s): Jackson, E., Philosophy Compass 15/6 (2020) pp. 1-13 10.1111/phc3.12668.x.
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  • A Continuum-Valued Logic of Degrees of Probability.Colin Howson - 2014 - Erkenntnis 79 (5):1001-1013.
    Leibniz seems to have been the first to suggest a logical interpretation of probability, but there have always seemed formidable mathematical and interpretational barriers to implementing the idea. De Finetti revived it only, it seemed, to reject it in favour of a purely decision-theoretic approach. In this paper I argue that not only is it possible to view (Bayesian) probability as a continuum-valued logic, but that it has a very close formal kinship with classical propositional logic.
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  • The preface paradox revisited.Igor Douven - 2003 - Erkenntnis 59 (3):389 - 420.
    The Preface Paradox has led many philosophers to believe that, if it isassumed that high probability is necessary for rational acceptability, the principleaccording to which rational acceptability is closed under conjunction (CP)must be abandoned. In this paper we argue that the paradox is far less damaging to CP than is generally believed. We describe how, given certain plausibleassumptions, in a large class of cases in which CP seems to lead tocontradiction, it does not do so after all. A restricted version (...)
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  • Deductive Cogency, understanding, and acceptance.Finnur Dellsén - 2018 - Synthese 195 (7):3121-3141.
    Deductive Cogency holds that the set of propositions towards which one has, or is prepared to have, a given type of propositional attitude should be consistent and closed under logical consequence. While there are many propositional attitudes that are not subject to this requirement, e.g. hoping and imagining, it is at least prima facie plausible that Deductive Cogency applies to the doxastic attitude involved in propositional knowledge, viz. belief. However, this thought is undermined by the well-known preface paradox, leading a (...)
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  • Lotteries And Contexts.Peter Baumann - 2004 - Erkenntnis 61 (2):415-428.
    There are many ordinary propositions we think we know. Almost every ordinary proposition entails some "lottery proposition" which we think we do not know but to which we assign a high probability of being true (for instance: “I will never be a multi-millionaire” entails “I will not win this lottery”). How is this possible - given that some closure principle is true? This problem, also known as “the Lottery puzzle”, has recently provoked a lot of discussion. In this paper I (...)
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  • DeRose on Lotteries.Peter Baumann - 2020 - International Journal for the Study of Skepticism 10 (1):44-67.
    This article discusses Keith DeRose’s treatment of the lottery problem in Chapter 5 of his recent The Appearance of Ignorance. I agree with a lot of it but also raise some critical points and questions and make some friendly proposals. I discuss different ways to set up the problem, go into the difference between knowing and ending inquiry, propose to distinguish between two different kinds of lotteries, add to the defense of the idea that one can know lottery propositions, give (...)
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