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How people interpret an uncertain If

In T. Kroupa & J. Vejnarova (eds.), Proceedings of the 8th Workshop on Uncertainty Processing. pp. 80-91 (2009)

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  1. Coherence and Nonmonotonicity in Human Reasoning.Niki Pfeifer & Gernot D. Kleiter - 2005 - Synthese 146 (1-2):93-109.
    Nonmonotonic reasoning is often claimed to mimic human common sense reasoning. Only a few studies, though, have investigated this claim empirically. We report four experiments which investigate three rules of SYSTEMP, namely the AND, the LEFT LOGICAL EQUIVALENCE, and the OR rule. The actual inferences of the subjects are compared with the coherent normative upper and lower probability bounds derived from a non-infinitesimal probability semantics of SYSTEM P. We found a relatively good agreement of human reasoning and principles of nonmonotonic (...)
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  • General Propositions and Causality.Frank Plumpton Ramsey - 1925 - In The Foundations of Mathematics and Other Logical Essays. London, England: Routledge & Kegan Paul. pp. 237-255.
    This article rebuts Ramsey's earlier theory, in 'Universals of Law and of Fact', of how laws of nature differ from other true generalisations. It argues that our laws are rules we use in judging 'if I meet an F I shall regard it as a G'. This temporal asymmetry is derived from that of cause and effect and used to distinguish what's past as what we can know about without knowing our present intentions.
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  • Conditionals: A theory of meaning, pragmatics, and inference.Philip Johnson-Laird & Ruth M. J. Byrne - 2002 - Psychological Review 109 (4):646-678.
    The authors outline a theory of conditionals of the form If A then C and If A then possibly C. The 2 sorts of conditional have separate core meanings that refer to sets of possibilities. Knowledge, pragmatics, and semantics can modulate these meanings. Modulation can add information about temporal and other relations between antecedent and consequent. It can also prevent the construction of possibilities to yield 10 distinct sets of possibilities to which conditionals can refer. The mental representation of a (...)
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  • The Psychology of Proof: Deductive Reasoning in Human Thinking.Lance J. Rips - 1994 - MIT Press.
    Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life.
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  • Bayesian Rationality: The Probabilistic Approach to Human Reasoning.Mike Oaksford & Nick Chater - 2007 - Oxford University Press.
    Are people rational? This question was central to Greek thought and has been at the heart of psychology and philosophy for millennia. This book provides a radical and controversial reappraisal of conventional wisdom in the psychology of reasoning, proposing that the Western conception of the mind as a logical system is flawed at the very outset. It argues that cognition should be understood in terms of probability theory, the calculus of uncertain reasoning, rather than in terms of logic, the calculus (...)
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  • Framing human inference by coherence based probability logic.Niki Pfeifer & Gernot D. Kleiter - 2009 - Journal of Applied Logic 7 (2):206--217.
    We take coherence based probability logic as the basic reference theory to model human deductive reasoning. The conditional and probabilistic argument forms are explored. We give a brief overview of recent developments of combining logic and probability in psychology. A study on conditional inferences illustrates our approach. First steps towards a process model of conditional inferences conclude the paper.
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  • Probabilistic Logic in a Coherent Setting.Giulianella Coletii & Romano Scozzafava - 2002 - Dordrecht, Netherland: Springer.
    The approach to probability theory followed in this book characterizes probability as a linear operator rather than as a measure, and is based on the concept of coherence, which can be framed in the most general view of conditional probability. It is a `flexible' and unifying tool suited for handling, e.g., partial probability assessments, and conditional independence, in a way that avoids all the inconsistencies related to logical dependence. Moreover, it is possible to encompass other approaches to uncertain reasoning, such (...)
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