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Causation, Association, and Confirmation

Wheeler, Gregory and Scheines, Richard (2010) Causation, Association, and Confirmation. [Preprint]

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    Many philosophers of science have argued that a set of evidence that is "coherent" confirms a hypothesis which explains such coherence. In this paper, we examine the relationships between probabilistic models of all three of these concepts: coherence, confirmation, and explanation. For coherence, we consider Shogenji's measure of association (deviation from independence). For confirmation, we consider several measures in the literature, and for explanation, we turn to Causal Bayes Nets and resort to causal structure and its constraint on probability. All else equal, we show that focused correlation, which is the ratio of the coherence of evidence and the coherence of the evidence conditional on a hypothesis, tracks confirmation. We then show that the causal structure of the evidence and hypothesis can put strong constraints on how coherence in the evidence does or does not translate into confirmation of the hypothesis.

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    Item Type: Preprint
    Additional Information: To appear in _Explanation, Prediction, and Confirmation. New Trends and Old Ones Reconsidered_, Springer.
    Keywords: Bayesian coherentism, confirmation, Bayesian networks
    Subjects: General Issues > Confirmation/Induction
    General Issues > Causation
    Depositing User: Gregory Wheeler
    Date Deposited: 27 Aug 2010
    Last Modified: 07 Oct 2010 11:20
    Item ID: 5525

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