Commutativity or Holism? A Dilemma for Conditionalizers
British Journal for the Philosophy of Science 60 (4):793 - 812 (2009)
| Abstract | Conditionalization and Jeffrey Conditionalization cannot simultaneously satisfy two widely held desiderata on rules for empirical learning. The first desideratum is confirmational holism, which says that the evidential import of an experience is always sensitive to our background assumptions. The second desideratum is commutativity, which says that the order in which one acquires evidence shouldn't affect what conclusions one draws, provided the same total evidence is gathered in the end. (Jeffrey) Conditionalization cannot satisfy either of these desiderata without violating the other. This is a surprising problem, and I offer a diagnosis of its source. I argue that (Jeffrey) Conditionalization is inherently anti-holistic in a way that is just exacerbated by the requirement of commutativity. The dilemma is thus a superficial manifestation of (Jeffrey) Conditionalization's fundamentally anti-holistic nature | |||||||||
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Kosta Došen & Zoran Petrć (2006). Associativity as Commutativity. Journal of Symbolic Logic 71 (1):217 - 226.
Alastair Wilson (2010). Disagreement, Equal Weight and Commutativity. Philosophical Studies 149 (3).
R. I. G. Hughes & Bas C. Van Fraassen (1984). Symmetry Arguments in Probability Kinematics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:851 - 869.
Hartry Field (1978). A Note on Jeffrey Conditionalization. Philosophy of Science 45 (3):361-367.
Jonathan Weisberg (2007). Conditionalization, Reflection, and Self-Knowledge. Philosophical Studies 135 (2):179-97.
David Christensen (1992). Confirmational Holism and Bayesian Epistemology. Philosophy of Science 59 (4):540-557.
Frank Döring (1999). Why Bayesian Psychology is Incomplete. Philosophy of Science 66 (3):389.
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