The Collapse of Collective Defeat: Lessons from the Lottery Paradox
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:230 - 236 (1992)
| Abstract | The Lottery Paradox has been thought to provide a reductio argument against probabilistic accounts of inductive inference. As a result, much work in artificial intelligence has concentrated on qualitative methods of inference, including default logics, which are intended to model some varieties of inductive inference. It has recently been shown that the paradox can be generated within qualitative default logics. However, John Pollock's qualitative system of defeasible inference (named OSCAR), does avoid the Lottery Paradox by incorporating a rule designed specifically for that purpose. I shall argue that Pollock's system instead succumbs to a worse disease: it fails to allow for induction at all (a disease sometimes known as "Conjunctivitis'). | |||||||||
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Igor Douven & Timothy Williamson (2006). Generalizing the Lottery Paradox. British Journal for the Philosophy of Science 57 (4):755-779.
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I. Douven (2012). The Sequential Lottery Paradox. Analysis 72 (1):55-57.
John L. Pollock (1986). The Paradox of the Preface. Philosophy of Science 53 (2):246-258.
Gregory Wheeler (2007). A Review of the Lottery Paradox. [REVIEW] In William Harper & Gregory Wheeler (eds.), Probability and Inference: Essays in Honour of Henry E. Kyburg, Jr.
Igor Douven (2007). A Pragmatic Dissolution of Harman's Paradox. Philosophy and Phenomenological Research 74 (2):326–345.
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Igor Douven & Jan-Willem Romeijn (2007). The Discursive Dilemma as a Lottery Paradox. Economics and Philosophy 23 (3):301-319.
Timothy Williamson (2006). Generalizing the Lottery Paradox. British Journal for the Philosophy of Science 57 (4):755 - 779.
Kevin Knight (2002). Measuring Inconsistency. Journal of Philosophical Logic 31 (1):77-98.
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