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The whole truth about Linda: probability, verisimilitude and a paradox of conjunction

In Marcello D'Agostino, Federico Laudisa, Giulio Giorello, Telmo Pievani & Corrado Sinigaglia (eds.), New Essays in Logic and Philosophy of Science. College Publications. pp. 603--615 (2010)

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  1. Verisimilitude and Belief Change for Conjunctive Theories.Gustavo Cevolani, Vincenzo Crupi & Roberto Festa - 2011 - Erkenntnis 75 (2):183-202.
    Theory change is a central concern in contemporary epistemology and philosophy of science. In this paper, we investigate the relationships between two ongoing research programs providing formal treatments of theory change: the (post-Popperian) approach to verisimilitude and the AGM theory of belief change. We show that appropriately construed accounts emerging from those two lines of epistemological research do yield convergences relative to a specified kind of theories, here labeled “conjunctive”. In this domain, a set of plausible conditions are identified which (...)
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  • The Fragmentation of Reason: Preface to a Pragmatic Theory of Cognitive Evaluation.Stephen P. Stich - 1990 - Cambridge, Massachusetts: MIT Press.
    From Descartes to Popper, philosophers have criticized and tried to improve the strategies of reasoning invoked in science and in everyday life. In recent years leading cognitive psychologists have painted a detailed, controversial, and highly critical portrait of common sense reasoning. Stephen Stich begins with a spirited defense of this work and a critique of those writers who argue that widespread irrationality is a biological or conceptual impossibility.Stich then explores the nature of rationality and irrationality: What is it that distinguishes (...)
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  • The conjunction fallacy: a misunderstanding about conjunction?Daniel Osherson - 2004 - Cognitive Science 28 (3):467-477.
    It is easy to construct pairs of sentences X, Y that lead many people to ascribe higher probability to the conjunction X-and-Y than to the conjuncts X, Y. Whether an error is thereby committed depends on reasoners’ interpretation of the expressions “probability” and “and.” We report two experiments designed to clarify the normative status of typical responses to conjunction problems. © 2004 Cognitive Science Society, Inc. All rights reserved.
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  • Conjectures and refutations: the growth of scientific knowledge.Karl Raimund Popper - 1965 - New York: Routledge.
    This classic remains one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history.
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  • Conjectures and Refutations: The Growth of Scientific Knowledge.Karl Raimund Popper - 1962 - London, England: Routledge.
    _Conjectures and Refutations_ is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error.
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  • Conjectures and Refutations: The Growth of Scientific Knowledge.Karl Raimund Popper - 1962 - London, England: Routledge.
    _Conjectures and Refutations_ is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error.
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  • Conjectures and Refutations: The Growth of Scientific Knowledge.Karl Raimund Popper - 1962 - London, England: Routledge.
    The way in which knowledge progresses, and especially our scientific knowledge, is by unjustified anticipations, by guesses, by tentative solutions to our problems, by conjectures. These conjectures are controlled by criticism: that is, by attempted refutations, which include severely critical tests. They may survive these tests; but they can never be positively justified: they can neither be established as certainly true nor even as 'probable'. Criticism of our conjectures is of decisive importance: by bringing out our mistakes it makes us (...)
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  • Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment.Amos Tversky & Daniel Kahneman - 1983 - Psychological Review 90 (4):293-315.
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  • Judgment under Uncertainty: Heuristics and Biases.Amos Tversky & Daniel Kahneman - 1974 - Science 185 (4157):1124-1131.
    This article described three heuristics that are employed in making judgements under uncertainty: representativeness, which is usually employed when people are asked to judge the probability that an object or event A belongs to class or process B; availability of instances or scenarios, which is often employed when people are asked to assess the frequency of a class or the plausibility of a particular development; and adjustment from an anchor, which is usually employed in numerical prediction when a relevant value (...)
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  • Verisimilitude, cross classification and prediction logic. Approaching the statistical truth by falsified qualitative theories.Roberto Festa - 2007 - Mind and Society 6 (1):91-114.
    In this paper it is argued that qualitative theories (Q-theories) can be used to describe the statistical structure of cross classified populations and that the notion of verisimilitude provides an appropriate tool for measuring the statistical adequacy of Q-theories. First of all, a short outline of the post-Popperian approaches to verisimilitude and of the related verisimilitudinarian non-falsificationist methodologies (VNF-methodologies) is given. Secondly, the notion of Q-theory is explicated, and the qualitative verisimilitude of Q-theories is defined. Afterwards, appropriate measures for the (...)
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  • Category-based induction.Daniel N. Osherson, Edward E. Smith, Ormond Wilkie & Alejandro López - 1990 - Psychological Review 97 (2):185-200.
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  • Verisimilitude: The third period.Ilkka Niiniluoto - 1998 - British Journal for the Philosophy of Science 49 (1):1-29.
    The modern history of verisimilitude can be divided into three periods. The first began in 1960, when Karl Popper proposed his qualitative definition of what it is for one theory to be more truthlike than another theory, and lasted until 1974, when David Miller and Pavel Trich published their refutation of Popper's definition. The second period started immediately with the attempt to explicate truthlikeness by means of relations of similarity or resemblance between states of affairs (or their linguistic representations); the (...)
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  • On the reality of cognitive illusions.Daniel Kahneman & Amos Tversky - 1996 - Psychological Review 103 (3):582-591.
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  • On narrow norms and vague heuristics: A reply to Kahneman and Tversky.Gerd Gigerenzer - 1996 - Psychological Review 103 (3):592-596.
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  • The plurality of bayesian measures of confirmation and the problem of measure sensitivity.Branden Fitelson - 1999 - Philosophy of Science 66 (3):378.
    Contemporary Bayesian confirmation theorists measure degree of (incremental) confirmation using a variety of non-equivalent relevance measures. As a result, a great many of the arguments surrounding quantitative Bayesian confirmation theory are implicitly sensitive to choice of measure of confirmation. Such arguments are enthymematic, since they tacitly presuppose that certain relevance measures should be used (for various purposes) rather than other relevance measures that have been proposed and defended in the philosophical literature. I present a survey of this pervasive class of (...)
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  • On bayesian measures of evidential support: Theoretical and empirical issues.Vincenzo Crupi, Katya Tentori & and Michel Gonzalez - 2007 - Philosophy of Science 74 (2):229-252.
    Epistemologists and philosophers of science have often attempted to express formally the impact of a piece of evidence on the credibility of a hypothesis. In this paper we will focus on the Bayesian approach to evidential support. We will propose a new formal treatment of the notion of degree of confirmation and we will argue that it overcomes some limitations of the currently available approaches on two grounds: (i) a theoretical analysis of the confirmation relation seen as an extension of (...)
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  • Probability, confirmation, and the conjunction fallacy.Vincenzo Crupi, Branden Fitelson & Katya Tentori - 2007 - Thinking and Reasoning 14 (2):182 – 199.
    The conjunction fallacy has been a key topic in debates on the rationality of human reasoning and its limitations. Despite extensive inquiry, however, the attempt to provide a satisfactory account of the phenomenon has proved challenging. Here we elaborate the suggestion (first discussed by Sides, Osherson, Bonini, & Viale, 2002) that in standard conjunction problems the fallacious probability judgements observed experimentally are typically guided by sound assessments of _confirmation_ relations, meant in terms of contemporary Bayesian confirmation theory. Our main formal (...)
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  • 1. How to Confirm the Conjunction of Disconfirmed Hypotheses.David Atkinson, Jeanne Peijnenburg & Theo Kuipers - 2009 - Philosophy of Science 76 (1):1-21.
    Could some evidence confirm a conjunction of two hypotheses more than it confirms either of the hypotheses separately? We show that it might, moreover under conditions that are the same for ten different measures of confirmation. Further, we demonstrate that it is even possible for the conjunction of two disconfirmed hypotheses to be confirmed by the same evidence.
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  • How to Confirm the Conjunction of Disconfirmed Hypotheses.David Atkinson, Jeanne Peijnenburg & Theo Kuipers - 2009 - Philosophy of Science 76 (1):1-21.
    Can some evidence confirm a conjunction of two hypotheses more than it confirms either of the hypotheses separately? We show that it can, moreover under conditions that are the same for ten different measures of confirmation. Further we demonstrate that it is even possible for the conjunction of two disconfirmed hypotheses to be confirmed by the same evidence.
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  • Judgment Under Uncertainty: Heuristics and Biases.Daniel Kahneman, Paul Slovic & Amos Tversky (eds.) - 1982 - Cambridge University Press.
    The thirty-five chapters in this book describe various judgmental heuristics and the biases they produce, not only in laboratory experiments but in important...
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  • Studies in the way of words.Herbert Paul Grice - 1989 - Cambridge: Harvard University Press.
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  • Bayesian confirmation.Roberto Festa - 1999 - In M. C. Galavotti & A. Pagnini (eds.), Experience, Reality, and Scientific Explanation. Kluwer Academic Publishers. pp. 55–87.
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  • The qualitative and statistical verisimilitude of qualitative theories.R. Festa - 2007 - la Nuova Critica 47:91--114.
    Comparazione tra modelli statistici e standard filosofici del 19°secolo in seguito all'apertura da parte della filosofia della scienza al Modello Standard e alle caratteristiche dinamiche delle particelle elaborate dal CERN di Ginevra. Una nuova letteratura sulla scia di Karl Popper.
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  • Ending the Rationality Wars: How to Make Disputes about Human Rationality Disappear.Richard Samuels, Stephen Stich & Michael Bishop - 2002 - In Renee Elio (ed.), Common Sense, Reasoning and Rationality. Oxford University Press. pp. 236-268.
    During the last 25 years, researchers studying human reasoning and judgment in what has become known as the “heuristics and biases” tradition have produced an impressive body of experimental work which many have seen as having “bleak implications” for the rationality of ordinary people (Nisbett and Borgida 1975). According to one proponent of this view, when we reason about probability we fall victim to “inevitable illusions” (Piattelli-Palmarini 1994). Other proponents maintain that the human mind is prone to “systematic deviations from (...)
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  • Verisimilitude, qualitative theories, and statistical inferences.Roberto Festa - 2007 - In Sami Pihlström, Panu Raatikainen & Matti Sintonen (eds.), Approaching Truth: Essays in Honour of Ilkka Niiniluoto. College Publications. pp. 143--178.
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