An impossibility theorem for amalgamating evidence

Synthese 190 (12):2391-2411 (2013)
Abstract
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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    References found in this work BETA
    Rudolf Carnap (1947). On the Application of Inductive Logic. Philosophy and Phenomenological Research 8 (1):133-148.

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    Citations of this work BETA
    Aki Lehtinen (2013). On the Impossibility of Amalgamating Evidence. Journal for General Philosophy of Science 44 (1):101-110.
    Similar books and articles
    Aki Lehtinen (2013). On the Impossibility of Amalgamating Evidence. Journal for General Philosophy of Science 44 (1):101-110.
    Davis Baird (1984). Tests of Significance Violate the Rule of Implication. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:81 - 92.
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