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Cosmic Confusions: Not Supporting versus Supporting Not

Published online by Cambridge University Press:  01 January 2022

John D. Norton
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Extract

Bayesian probabilistic explication of inductive inference conflates neutrality of supporting evidence for some hypothesis H (“not supporting H”) with disfavoring evidence (“supporting not-H”). This expressive inadequacy leads to spurious results that are artifacts of a poor choice of inductive logic. I illustrate how such artifacts have arisen in simple inductive inferences in cosmology. In the inductive disjunctive fallacy, neutral support for many possibilities is spuriously converted into strong support for their disjunction. The Bayesian “doomsday argument” is shown to rely entirely on a similar artifact.

Type
Student Essays
Information
Philosophy of Science , Volume 77 , Issue 4 , October 2010 , pp. 501 - 523
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

‡

For helpful discussion, I thank Jeremy Butterfield, Eric Hatleback, Wayne Myrvold, and participants at the conference “Philosophy of Cosmology: Characterising Science and Beyond” at St. Anne's College, Oxford, September 20–22, 2009.

References

Aguirre, Anthony. 2007. “Making Predictions in a Multiverse: Conundrums, Dangers, Coincidences.” In Carr 2007, 367–86.Google Scholar
Bostrom, Nick. 2002a. Anthropic Bias: Observation Selection Effects in Science and Philosophy. New York: Routledge.Google Scholar
Bostrom, Nick. 2002b. “Self-Locating Belief in Big Worlds: Cosmology's Missing Link to Observation.” Journal of Philosophy 99:607–23.Google Scholar
Bostrom, Nick. 2003. “Are We Living in a Computer Simulation?” Philosophical Quarterly 53:243–55.CrossRefGoogle Scholar
Bostrom, Nick. 2007. “Observation Selection Theory and Cosmological Fine-Tuning.” In Carr 2007, 431–43.Google Scholar
Carr, Bernard, ed. 2007. Universe or Multiverse. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Gibbons, G. W., Hawkings, S. W., and Stewart, J. M.. 1987. “A Natural Measure on the Set of All Universes.” Nuclear Physics B 281:736–51.Google Scholar
Gibbons, G. W., and Turok, Neil. 2008. “Measure Problem in Cosmology.” Physical Review D 77:1–12.Google Scholar
Hawking, S. W., and Page, Don N.. 1988. “How Probable Is Inflation?” Nuclear Physics B 298:789–809.CrossRefGoogle Scholar
Howson, Colin, and Urbach, Peter. 2006. Scientific Reasoning: The Bayesian Approach. 3rd ed. Chicago: Open Court.Google Scholar
Jaynes, E. T. 2003. Probability Theory: The Logic of Science. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Norton, John D. 2003. “A Material Theory of Induction.” Philosophy of Science 70:647–70.CrossRefGoogle Scholar
Norton, John D.. 2005. “A Little Survey of Induction.” In Scientific Evidence: Philosophical Theories and Applications, ed. Achinstein, P., 9–34. Baltimore, MD: Johns Hopkins University Press.Google Scholar
Norton, John D.. 2007a. “Disbelief as the Dual of Belief.” International Studies in the Philosophy of Science 21:231–52.CrossRefGoogle Scholar
Norton, John D.. 2007b. “Probability Disassembled.” British Journal for the Philosophy of Science 58:141–71.CrossRefGoogle Scholar
Norton, John D.. 2008. “Ignorance and Indifference.” Philosophy of Science 75:45–68.CrossRefGoogle Scholar
Norton, John D.. Forthcoming. “Challenges to Bayesian Confirmation Theory.” In Philosophy of Statistics. Vol. 7 of Handbook of the Philosophy of Science, ed. Bandyopadhyay, Prasanta S. and Forster, Malcolm. New York: Elsevier.Google Scholar
Norton, John D.. Forthcoming. “Deductively Definable Logics of Induction.” Journal of Philosophical Logic, doi: 10.1007/s10992-010-9146-2.CrossRefGoogle Scholar
Olum, Ken D. 2004. “Conflict between Anthropic Reasoning and Observation.” Analysis 64 (1): 1–8.CrossRefGoogle Scholar
Page, Don N. 2007. “Prediction and Tests of Multiverse Theories.” In Carr 2007, 411–29.Google Scholar
Tegmark, Max. 2007. “The Multiverse Hierarchy.” In Carr 2007, 99–125.Google Scholar
Tegmark, Max, Aguirre, Anthony, Rees, Martin J., and Wilczek, Frank. 2006. “Dimensionless Constants, Cosmology, and Other Dark Matters.” Physical Review D 73:1–28.Google Scholar
Van Inwagen, Peter. 1996. “Why Is There Anything at All?” Proceedings of the Aristotelian Society 70 (suppl.): 95–120.CrossRefGoogle Scholar
Weinberg, Steven. 2000. “A Priori Probabilities of the Cosmological Constant.” Physical Review D 61:1–4.Google Scholar
Williamson, Jon. 2009. “Philosophies of Probability” In Philosophy of Mathematics, ed. Irvine, A., 493–534. Amsterdam: North-Holland.CrossRefGoogle Scholar