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1181 andrew gelman stats-2012-02-23-Philosophy: Pointer to Salmon


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Introduction: Larry Brownstein writes: I read your article on induction and deduction and your comments on Deborah Mayo’s approach and thought you might find the following useful in this discussion. It is Wesley Salmon’s Reality and Rationality (2005). Here he argues that Bayesian inferential procedures can replace the hypothetical-deductive method aka the Hempel-Oppenheim theory of explanation. He is concerned about the subjectivity problem, so takes a frequentist approach to the use of Bayes in this context. Hardly anyone agrees that the H-D approach accounts for scientific explanation. The problem has been to find a replacement. Salmon thought he had found it. I don’t know this book—but that’s no surprise since I know just about none of the philosophy of science literature that came after Popper, Kuhn, and Lakatos. That’s why I collaborated with Cosma Shalizi. He’s the one who connected me to Deborah Mayo and who put in the recent philosophy references in our articles. Anyway, I’m pa


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1 Larry Brownstein writes: I read your article on induction and deduction and your comments on Deborah Mayo’s approach and thought you might find the following useful in this discussion. [sent-1, score-0.841]

2 Here he argues that Bayesian inferential procedures can replace the hypothetical-deductive method aka the Hempel-Oppenheim theory of explanation. [sent-3, score-0.808]

3 He is concerned about the subjectivity problem, so takes a frequentist approach to the use of Bayes in this context. [sent-4, score-0.689]

4 Hardly anyone agrees that the H-D approach accounts for scientific explanation. [sent-5, score-0.647]

5 I don’t know this book—but that’s no surprise since I know just about none of the philosophy of science literature that came after Popper, Kuhn, and Lakatos. [sent-8, score-0.839]

6 He’s the one who connected me to Deborah Mayo and who put in the recent philosophy references in our articles. [sent-10, score-0.463]

7 Anyway, I’m passing on the above pointer for the benefit of those of you out there who know about these things. [sent-11, score-0.527]


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Introduction: Here’s an article that I believe is flat-out entertaining to read. It’s about philosophy, so it’s supposed to be entertaining, in any case. Here’s the abstract: A substantial school in the philosophy of science identifies Bayesian inference with inductive inference and even rationality as such, and seems to be strengthened by the rise and practical success of Bayesian statistics. We argue that the most successful forms of Bayesian statistics do not actually support that particular philosophy but rather accord much better with sophisticated forms of hypothetico-deductivism. We examine the actual role played by prior distributions in Bayesian models, and the crucial aspects of model checking and model revision, which fall outside the scope of Bayesian confirmation theory. We draw on the literature on the consistency of Bayesian updating and also on our experience of applied work in social science. Clarity about these matters should benefit not just philosophy of science, but

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