A weaker condition for transitivity in probabilistic support
- William A. Roche
- … show all 1 hide
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
Probabilistic support is not transitive. There are cases in which x probabilistically supports y, i.e., Pr(y | x) > Pr(y), y, in turn, probabilistically supports z, and yet it is not the case that x probabilistically supports z. Tomoji Shogenji, though, establishes a condition for transitivity in probabilistic support, that is, a condition such that, for any x, y, and z, if Pr(y | x) > Pr(y), Pr(z | y) > Pr(z), and the condition in question is satisfied, then Pr(z | x) > Pr(z). I argue for a second and weaker condition for transitivity in probabilistic support. This condition, or the principle involving it, makes it easier (than does the condition Shogenji provides) to establish claims of probabilistic support, and has the potential to play an important role in at least some areas of philosophy.
- Chandler, J. (2010). The transmission of support: A Bayesian re-analysis. Synthese, 176, 333–343. CrossRef
- Dietrich, F., & Moretti, L. (2005). On coherent sets and the transmission of confirmation. Philosophy of Science, 72, 403–424. CrossRef
- Dretske, F. (1970). Epistemic operators. Journal of Philosophy, 67, 1007–1023. CrossRef
- Eells, E., & Sober, E. (1983). Probabilistic causality and the question of transitivity. Philosophy of Science, 50, 35–57. CrossRef
- Hanen, M. (1971). Confirmation and adequacy conditions. Philosophy of Science, 38, 361–368. CrossRef
- Hesse, M. (1970). Theories and the transitivity of confirmation. Philosophy of Science, 37, 50–63. CrossRef
- Holder, R. (1998). Hume on miracles: Bayesian interpretation, multiple testimony, and the existence of God. The British Journal for the Philosophy of Science, 49, 49–65. CrossRef
- Klein, P. (2008). Useful false beliefs. In Q. Smith (Ed.), Epistemology: New essays (pp. 25–61). Oxford: Oxford University Press.
- Mackie, J. L. (1969). The relevance criterion of confirmation. The British Journal for the Philosophy of Science, 20, 27–40. CrossRef
- Moretti, L. (2010). Wright, Okasha and Chandler on transmission failure. Synthese. doi:10.1007/s11229-010-9771-x.
- Okasha, S. (1999). Epistemic justification and deductive closure. Crítica, 31, 37–51.
- Okasha, S. (2004). Wright on the transmission of support: A Bayesian analysis. Analysis, 64, 139–146. CrossRef
- Otte, R. (1993). Schlesinger and miracles. Faith and Philosophy, 10, 93–98.
- Pynn, G. (2011). The Bayesian explanation of transmission failure. Synthese. doi:10.1007/s11229-011-9890-z.
- Reichenbach, H. (1956). The direction of time. Berkeley: University of California Press.
- Roche, W. (2010). Coherentism, truth, and witness agreement. Acta Analytica, 25, 243–257.
- Roche, W. (2012). Witness agreement and the truth-conduciveness of coherentist justification. The Southern Journal of Philosophy (in press).
- Salmon, W. (1965). Consistency, transitivity, and inductive support. Ratio, 7, 164–169.
- Schlesinger, G. (1987). Miracles and probabilities. Nous, 21, 219–232. CrossRef
- Shogenji, T. (2003). A condition for transitivity in probabilistic support. The British Journal for the Philosophy of Science, 54, 613–616. CrossRef
- Sober, E. (2009). Absence of evidence and evidence of absence: Evidential transitivity in connection with fossils, fishing, fine-tuning, and firing squads. Philosophical Studies, 143, 63–90. CrossRef
- White, R. (2006). Problems for dogmatism. Philosophical Studies, 131, 525–557. CrossRef
- Wright, C. (2002). (Anti-)sceptics simple and subtle: G. E. Moore and John McDowell. Philosophy and Phenomenological Research, 65, 330–348. CrossRef
- Wright, C. (2003). Some reflections on the acquisition of warrant by inference. In S. Nuccetelli (Ed.), New essays on semantic externalism and self-knowledge (pp. 57–77). Cambridge: MIT Press.
- A weaker condition for transitivity in probabilistic support
European Journal for Philosophy of Science
Volume 2, Issue 1 , pp 111-118
- Cover Date
- Print ISSN
- Online ISSN
- Springer Netherlands
- Additional Links
- Probabilistic support
- William A. Roche (1)
- Author Affiliations
- 1. Department of Philosophy, Texas Christian University, 2855 Main Drive, Fort Worth, TX, 76129, USA