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Simpson's paradox in epistemology and decision theory

University of British Columbia

I discuss the implications of Simpson’s paradox for epistemology and decision theory. In Chapter One I outline the paradox, focussing on its identification, nature, and type of reasoning that it involves. In Chapter Two I discuss the view that Simpson’s paradox is resolved by means of graph-based causal analysis. In Chapter Three I outline a major problem (hitherto unacknowledged) that Simpson’s paradox poses for the probabilistic Bayesian theory of evidence. I make a proposal to split the probabilistic concept of evidence into a causal and a news-value kind of evidence, tracking causal probabilities under an intervention, and tracking overall probabilistic relevance under conditioning. In Chapters Four and Five I apply the proposal to two further areas of concern. In Chapter Four I defend a unified causal view of Simpson’s paradox. In Chapter Five I defuse a problem about counterfactual force of evidence. In Chapters Six and Seven I discuss Simpson’s paradox and the sure thing principle in decision theory. I then conclude in Chapter Eight.

Text

2015-05-26

Attribution-NonCommercial-NoDerivs 2.5 Canada

http://hdl.handle.net/2429/53486

Philosophy

University of British Columbia

UBCV

http://creativecommons.org/licenses/by-nc-nd/2.5/ca/