An impossibility theorem for amalgamating evidence

Synthese 190 (12):2391-2411 (2013)

Jacob Stegenga
Cambridge University
Amalgamating evidence of different kinds for the same hypothesis into an overall confirmation is analogous, I argue, to amalgamating individuals’ preferences into a group preference. The latter faces well-known impossibility theorems, most famously “Arrow’s Theorem”. Once the analogy between amalgamating evidence and amalgamating preferences is tight, it is obvious that amalgamating evidence might face a theorem similar to Arrow’s. I prove that this is so, and end by discussing the plausibility of the axioms required for the theorem
Keywords Evidence  Arrow’s theorem  Amalgamating evidence  Confirmation
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DOI 10.1007/s11229-011-9973-x
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References found in this work BETA

How the Laws of Physics Lie.Nancy Cartwright - 1983 - Oxford University Press.
Bayes or Bust?John Earman - 1992 - Bradford.
Theory and Evidence.Clark Glymour - 1980 - Princeton University Press.

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Citations of this work BETA

Constraints on Rational Theory Choice.Seamus Bradley - 2017 - British Journal for the Philosophy of Science 68 (3):639-661.
Arrow’s Theorem and Theory Choice.Davide Rizza - 2014 - Synthese 191 (8):1-10.
Radical Interpretation and The Aggregation Problem.Anandi Hattiangadi - forthcoming - Philosophy and Phenomenological Research.

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