Price, Huw (2010) Causation, Chance and the Rational Significance of Supernatural Evidence. [Preprint]

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Abstract

Newcomb problems turn on a tension between two principles of choice: roughly, a principle sensitive to the causal features of the relevant situation, and a principle sensitive only to evidential factors. Two-boxers give priority to causal beliefs, and one-boxers to evidential beliefs. A similar issue can arise when the modality in question is chance, rather than causation. In this case, the conflict is between decision rules based on credences guided solely by chances, and rules based on credences guided by other sorts of probabilistic evidence. Far from excluding cases of the latter kind, Lewis’s Principal Principle explicitly allows for them, in the form of the caveat that credences should only follow beliefs about chances in the absence of "inadmissible evidence". In this paper I begin by exhibiting a tension in Lewis’s views on these two matters. I present a class of decision problems – some of them themselves Newcomb problems – in which Lewis’s view of the relevance of inadmissible evidence seems in tension with his causal decision theory. I offer a diagnosis for this dilemma, and propose a remedy, based on an extension of a proposal due to Ned Hall and others from the case of chance to that of causation. The remedy suggests a new view of the relation between causal decision theory and evidential decision theory, namely, that they stand to each other much a chance stands to credence, as objective and subjective faces of the same practical coin.

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Item Type:	Preprint
Creators:	Creators Email ORCID Price, Huw
Keywords:	Causation, chance, evidential decision theory, causal decision theory, David Lewis
Subjects:	General Issues > Decision Theory General Issues > Causation Specific Sciences > Probability/Statistics
Depositing User:	Prof Huw Price
Date Deposited:	24 Jun 2010
Last Modified:	06 Jul 2011 11:31
Item ID:	5441
Subjects:	General Issues > Decision Theory General Issues > Causation Specific Sciences > Probability/Statistics
Date:	June 2010
URI:	https://philsci-archive.pitt.edu/id/eprint/5441

Available Versions of this Item

• The Lion, the 'Which?' and the Wardrobe -- Reading Lewis as a Closet One-boxer. (deposited 15 Sep 2009)
  • Causation, Chance and the Rational Significance of Supernatural Evidence. (deposited 24 Jun 2010) [Currently Displayed]
    • Causation, Chance and the Rational Significance of Supernatural Evidence. (deposited 06 Jul 2011 11:31)
      • Causation, Chance and the Rational Significance of Supernatural Evidence. (deposited 02 Jan 2012 19:06)

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