Irrelevant conjunction: Statement and solution of a new paradox

Philosophy of Science 77 (1):1-13 (2010)

Authors
Vincenzo Crupi
Università degli Studi di Torino
Abstract
The so‐called problem of irrelevant conjunction has been seen as a serious challenge for theories of confirmation. It involves the consequences of conjoining irrelevant statements to a hypothesis that is confirmed by some piece of evidence. Following Hawthorne and Fitelson, we reconstruct the problem with reference to Bayesian confirmation theory. Then we extend it to the case of conjoining irrelevant statements to a hypothesis that is dis confirmed by some piece of evidence. As a consequence, we obtain and formally present a novel and more troublesome problem of irrelevant conjunction. We conclude by indicating a possible solution based on a measure‐sensitive approach and by critically discussing a major alternative way to address the problem. *Received December 2008; revised August 2009. †To contact the authors, please write to: Department of Philosophy, University of Turin, via Sant'Ottavio 20, 10124 Turin, Italy; e‐mail: vincenzo.crupi@unito.it ; katya.tentori@unitn.it or k.tentori@ucl.ac.uk.
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DOI 10.1086/650205
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The Problem of Measure Sensitivity Redux.Peter Brössel - 2013 - Philosophy of Science 80 (3):378-397.
State of the Field: Measuring Information and Confirmation.Vincenzo Crupi & Katya Tentori - 2014 - Studies in History and Philosophy of Science Part A 47:81-90.
New Axioms for Probability and Likelihood Ratio Measures.V. Crupi, N. Chater & K. Tentori - 2013 - British Journal for the Philosophy of Science 64 (1):189-204.

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