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Quantum probabilities and the conjunction principle

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Abstract

A recent argument by Hawthorne and Lasonen-Aarnio purports to show that we can uphold the principle that competently forming conjunctions is a knowledge-preserving operation only at the cost of a rampant skepticism about the future. A key premise of their argument is that, in light of quantum-mechanical considerations, future contingents never quite have chance 1 of being true. We argue, by drawing attention to the order of magnitude of the relevant quantum probabilities, that the skeptical threat of Hawthorne and Lasonen-Aarnio’s argument is illusory.

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References

  • Chi M. T. H., Ohlsson S. (2005) Complex declarative learning. In: Holyoak K. J., Morrison R. G. (eds) The Cambridge handbook of thinking and reasoning. Cambridge University Press, Cambridge, pp 371–399

    Google Scholar 

  • Christensen D. (2004) Putting logic in its place. Oxford University Press, Oxford

    Google Scholar 

  • Douven I. (2006) Assertion, knowledge, and rational credibility. Philosophical Review 115: 449–485

    Article  Google Scholar 

  • Douven I. (2007) A pragmatic dissolution of Harman’s paradox. Philosophy and Phenomenological Research 74: 326–345

    Article  Google Scholar 

  • Douven I. (2008) Knowledge and practical reasoning. Dialectica 62: 101–118

    Article  Google Scholar 

  • Douven I. (2009) Assertion, Moore, and Bayes. Philosophical Studies 144: 361–375

    Article  Google Scholar 

  • Douven I., Uffink J. (2003) The preface paradox revisited. Erkenntnis 59: 389–420

    Article  Google Scholar 

  • Foley R. (1992) The epistemology of belief and the epistemology of degrees of belief. American Philosophical Quarterly 29: 111–124

    Google Scholar 

  • Hawthorne, J., & Lasonen-Aarnio, M. (2009, in press). Knowledge and objective chance. In P. Greenough & D. Pritchard (eds.), Williamson on knowledge. Oxford: Oxford University Press.

  • Kyburg H. (1970) Conjunctivitis. In: Swain M. (eds) Induction, acceptance and rational belief. Reidel, Dordrecht, pp 55–82

    Chapter  Google Scholar 

  • Landauer T. K. (1986) How much do people remember? Some estimates of the quantity of learned information in long-term memory. Cognitive Science 10: 477–493

    Article  Google Scholar 

  • Makinson D. (1965) The paradox of the preface. Analysis 25: 205–207

    Article  Google Scholar 

  • Williamson T. (2000) Knowledge and its limits. Oxford University Press, Oxford

    Google Scholar 

  • Williamson, T. (2009, in press). Reply to John Hawthorne and Maria Lasonen-Aarnio. In P. Greenough & D. Pritchard (eds.), Williamson on knowledge. Oxford: Oxford University Press.

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Correspondence to Igor Douven.

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Douven, I., Uffink, J. Quantum probabilities and the conjunction principle. Synthese 184, 109–114 (2012). https://doi.org/10.1007/s11229-009-9693-7

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  • DOI: https://doi.org/10.1007/s11229-009-9693-7

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